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10130321003100 = 22352291949597437
BaseRepresentation
bin1001001101101010011000…
…1011110101001001011100
31022212110010111012010220220
42103122212023311021130
52311433344134044400
633313445532241340
72063614540525614
oct223324613651134
938773114163826
1010130321003100
113256277122571
1211773a8010250
135863926a29cc
1427044b0b7a44
151287a60637a0
hex936a62f525c

10130321003100 has 144 divisors (see below), whose sum is σ = 30336706764000. Its totient is φ = 2606923934720.

The previous prime is 10130321003081. The next prime is 10130321003147. The reversal of 10130321003100 is 130012303101.

10130321003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101303210031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130321003100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16657582 + ... + 17255018.

It is an arithmetic number, because the mean of its divisors is an integer number (210671574750).

Almost surely, 210130321003100 is an apocalyptic number.

10130321003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130321003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168353382000).

10130321003100 is an abundant number, since it is smaller than the sum of its proper divisors (20206385760900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10130321003100 is a wasteful number, since it uses less digits than its factorization.

10130321003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599432 (or 599425 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10130321003100 its reverse (130012303101), we get a palindrome (10260333306201).

The spelling of 10130321003100 in words is "ten trillion, one hundred thirty billion, three hundred twenty-one million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 1949 2175 2900 3898 4350 5847 7796 8700 9745 11694 19490 23388 29235 38980 48725 56521 58470 97450 113042 116940 146175 169563 194900 226084 282605 292350 339126 565210 584700 597437 678252 847815 1130420 1194874 1413025 1695630 1792311 2389748 2826050 2987185 3391260 3584622 4239075 5652100 5974370 7169244 8478150 8961555 11948740 14935925 16956300 17325673 17923110 29871850 34651346 35846220 44807775 51977019 59743700 69302692 86628365 89615550 103954038 173256730 179231100 207908076 259885095 346513460 433141825 519770190 866283650 1039540380 1164404713 1299425475 1732567300 2328809426 2598850950 3493214139 4657618852 5197701900 5822023565 6986428278 11644047130 13972856556 17466070695 23288094260 29110117825 33767736677 34932141390 58220235650 67535473354 69864282780 87330353475 101303210031 116440471300 135070946708 168838683385 174660706950 202606420062 337677366770 349321413900 405212840124 506516050155 675354733540 844193416925 1013032100310 1688386833850 2026064200620 2532580250775 3376773667700 5065160501550 10130321003100