Search a number
-
+
100357623722405 = 5723467993111897
BaseRepresentation
bin10110110100011001010100…
…100000110011000110100101
3111011100002120100102221201202
4112310121110200303012211
5101123224403133104110
6553235353400132245
730065412320500400
oct2664312440630645
9434302510387652
10100357623722405
1129a8247a300a55
12b309b91167085
1343cc8b63008ca
141aad498da0d37
15b907eac940a5
hex5b46548331a5

100357623722405 has 48 divisors (see below), whose sum is σ = 140157347668416. Its totient is φ = 68784097616640.

The previous prime is 100357623722353. The next prime is 100357623722407. The reversal of 100357623722405 is 504227326753001.

It is not a de Polignac number, because 100357623722405 - 26 = 100357623722341 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100357623722405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100357623722407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8435534417 + ... + 8435546313.

It is an arithmetic number, because the mean of its divisors is an integer number (2919944743092).

Almost surely, 2100357623722405 is an apocalyptic number.

It is an amenable number.

100357623722405 is a deficient number, since it is larger than the sum of its proper divisors (39799723946011).

100357623722405 is a wasteful number, since it uses less digits than its factorization.

100357623722405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25314 (or 25307 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 47.

The spelling of 100357623722405 in words is "one hundred trillion, three hundred fifty-seven billion, six hundred twenty-three million, seven hundred twenty-two thousand, four hundred five".

Divisors: 1 5 7 35 49 245 3467 9931 11897 17335 24269 49655 59485 69517 83279 121345 169883 347585 416395 486619 582953 849415 2433095 2914765 34430777 41246899 118149107 172153885 206234495 241015439 288728293 590745535 827043749 1205077195 1443641465 1687108073 2021098051 4135218745 5789306243 8435540365 10105490255 28946531215 409622953969 2048114769845 2867360677783 14336803388915 20071524744481 100357623722405