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10103350131 = 3372107149479
BaseRepresentation
bin10010110100011010…
…01110001101110011
3222002010020100212000
421122031032031303
5131142424201011
64350313505043
7505241026200
oct113215161563
928063210760
1010103350131
114315094546
121b5b712183
13c50234ab4
146bbb86ca7
153e1ec5356
hex25a34e373

10103350131 has 96 divisors (see below), whose sum is σ = 17729280000. Its totient is φ = 5669141184.

The previous prime is 10103350123. The next prime is 10103350177. The reversal of 10103350131 is 13105330101.

10103350131 is a `hidden beast` number, since 101 + 0 + 33 + 501 + 31 = 666.

It is not a de Polignac number, because 10103350131 - 23 = 10103350123 is a prime.

It is a super-2 number, since 2×101033501312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10103350931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21092350 + ... + 21092828.

It is an arithmetic number, because the mean of its divisors is an integer number (184680000).

Almost surely, 210103350131 is an apocalyptic number.

10103350131 is a deficient number, since it is larger than the sum of its proper divisors (7625929869).

10103350131 is a wasteful number, since it uses less digits than its factorization.

10103350131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 10103350131 its reverse (13105330101), we get a palindrome (23208680232).

The spelling of 10103350131 in words is "ten billion, one hundred three million, three hundred fifty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 107 147 149 189 321 441 447 479 749 963 1043 1323 1341 1437 2247 2889 3129 3353 4023 4311 5243 6741 7301 9387 10059 12933 15729 15943 20223 21903 23471 28161 30177 47187 47829 51253 65709 70413 71371 90531 111601 141561 143487 153759 197127 211239 214113 334803 358771 430461 461277 499597 633717 642339 781207 1004409 1076313 1383831 1498791 1927017 2343621 2511397 3013227 3228939 3497179 4496373 7030863 7534191 7636697 9686817 10491537 13489119 21092589 22602573 22910091 31474611 53456879 67807719 68730273 94423833 160370637 206190819 374198153 481111911 1122594459 1443335733 3367783377 10103350131