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10130400301340 = 22511264312595171
BaseRepresentation
bin1001001101101010101011…
…1010010101000100011100
31022212110100000101220122202
42103122222322111010130
52311434024434120330
633313501444031032
72063616522540044
oct223325272250434
938773300356582
1010130400301340
113256307964500
12117740a692478
135863a5c48847
1427045783a724
151287acec9445
hex936aae9511c

10130400301340 has 144 divisors (see below), whose sum is σ = 23443144260480. Its totient is φ = 3674420745600.

The previous prime is 10130400301319. The next prime is 10130400301409. The reversal of 10130400301340 is 4310300403101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1959076955 + ... + 1959082125.

It is an arithmetic number, because the mean of its divisors is an integer number (162799612920).

Almost surely, 210130400301340 is an apocalyptic number.

10130400301340 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 10130400301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721572130240).

10130400301340 is an abundant number, since it is smaller than the sum of its proper divisors (13312743959140).

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

10130400301340 is a wasteful number, since it uses less digits than its factorization.

10130400301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10130400301340 its reverse (4310300403101), we get a palindrome (14440700704441).

The spelling of 10130400301340 in words is "ten trillion, one hundred thirty billion, four hundred million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 643 1210 1259 1286 2420 2518 2572 3215 5036 5171 6295 6430 7073 10342 12590 12860 13849 14146 20684 25180 25855 27698 28292 35365 51710 55396 56881 69245 70730 77803 103420 113762 138490 141460 152339 155606 227524 276980 284405 304678 311212 389015 568810 609356 625691 761695 778030 809537 1137620 1251382 1523390 1556060 1619074 2502764 3046780 3128455 3238148 3324953 4047685 6256910 6510289 6649906 8095370 8904907 12513820 13020578 13299812 16190740 16624765 17809814 26041156 32551445 33249530 35619628 36574483 44524535 65102890 66499060 71613179 73148966 89049070 97953977 130205780 143226358 146297932 178098140 182872415 195907954 286452716 358065895 365744830 391815908 402319313 489769885 716131790 731489660 787744969 804638626 979539770 1432263580 1575489938 1609277252 1959079540 2011596565 3150979876 3938724845 4023193130 4186115827 7877449690 8046386260 8372231654 15754899380 16744463308 20930579135 41861158270 46047274097 83722316540 92094548194 184189096388 230236370485 460472740970 506520015067 920945481940 1013040030134 2026080060268 2532600075335 5065200150670 10130400301340