Search a number
-
+
10131303012210 = 2325377341677169
BaseRepresentation
bin1001001101101110000010…
…1101111001011101110010
31022212112122221000101011200
42103123200231321131302
52311442402032342320
633314131212152030
72063651063466132
oct223334055713562
938775587011150
1010131303012210
113256730478546
121177620a68616
135864bac810a3
142705016a0ac2
1512881238e290
hex936e0b79772

10131303012210 has 96 divisors (see below), whose sum is σ = 27423911277360. Its totient is φ = 2592653266944.

The previous prime is 10131303012191. The next prime is 10131303012307. The reversal of 10131303012210 is 1221030313101.

10131303012210 is a `hidden beast` number, since 1 + 0 + 13 + 130 + 301 + 221 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7346306105649 + 2784996906561 = 2710407^2 + 1668831^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 20595495 + ... + 21081674.

Almost surely, 210131303012210 is an apocalyptic number.

10131303012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131303012210 is an abundant number, since it is smaller than the sum of its proper divisors (17292608265150).

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

10131303012210 is a wasteful number, since it uses less digits than its factorization.

10131303012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41677292 (or 41677289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131303012210 its reverse (1221030313101), we get a palindrome (11352333325311).

The spelling of 10131303012210 in words is "ten trillion, one hundred thirty-one billion, three hundred three million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 185 219 222 333 365 370 438 555 657 666 730 1095 1110 1314 1665 2190 2701 3285 3330 5402 6570 8103 13505 16206 24309 27010 40515 48618 81030 121545 243090 41677169 83354338 125031507 208385845 250063014 375094521 416771690 625157535 750189042 1250315070 1542055253 1875472605 3042433337 3084110506 3750945210 4626165759 6084866674 7710276265 9127300011 9252331518 13878497277 15212166685 15420552530 18254600022 23130828795 27381900033 27756994554 30424333370 45636500055 46261657590 54763800066 69392486385 91273000110 112570033469 136909500165 138784972770 225140066938 273819000330 337710100407 562850167345 675420200814 1013130301221 1125700334690 1688550502035 2026260602442 3377101004070 5065651506105 10131303012210