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10130313300 = 22352318531277
BaseRepresentation
bin10010110111101000…
…00101000001010100
3222010222222020100220
421123310011001110
5131221330011200
64353115434340
7506016146052
oct113364050124
928128866326
1010130313300
114329330358
121b687559b0
13c559b5733
146c15a51d2
153e454e4a0
hex25bd05054

10130313300 has 144 divisors (see below), whose sum is σ = 30315059712. Its totient is φ = 2609164800.

The previous prime is 10130313257. The next prime is 10130313313. The reversal of 10130313300 is 331303101.

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 10130313300.

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, 7932262 + ... + 7933538.

It is an arithmetic number, because the mean of its divisors is an integer number (210521248).

Almost surely, 210130313300 is an apocalyptic number.

10130313300 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 10130313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157529856).

10130313300 is an abundant number, since it is smaller than the sum of its proper divisors (20184746412).

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

10130313300 is a wasteful number, since it uses less digits than its factorization.

10130313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10130313300 its reverse (331303101), we get a palindrome (10461616401).

The spelling of 10130313300 in words is "ten billion, one hundred thirty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 853 930 1277 1550 1706 1860 2325 2554 2559 3100 3412 3831 4265 4650 5108 5118 6385 7662 8530 9300 10236 12770 12795 15324 17060 19155 21325 25540 25590 26443 31925 38310 39587 42650 51180 52886 63850 63975 76620 79174 79329 85300 95775 105772 118761 127700 127950 132215 158348 158658 191550 197935 237522 255900 264430 317316 383100 395870 396645 475044 528860 593805 661075 791740 793290 989675 1089281 1187610 1322150 1586580 1979350 1983225 2178562 2375220 2644300 2969025 3267843 3958700 3966450 4357124 5446405 5938050 6535686 7932900 10892810 11876100 13071372 16339215 21785620 27232025 32678430 33767711 54464050 65356860 67535422 81696075 101303133 108928100 135070844 163392150 168838555 202606266 326784300 337677110 405212532 506515665 675354220 844192775 1013031330 1688385550 2026062660 2532578325 3376771100 5065156650 10130313300