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100130303332311 = 371132571627100913
BaseRepresentation
bin10110110001000101100111…
…001010010100111111010111
3111010112100211000000122121120
4112301011213022110333113
5101111013330123113221
6552543120515215023
730043114155165330
oct2661054712247727
9433470730018546
10100130303332311
11299a502892636a
12b291b0bba7473
1343b4329b14245
141aa24926bb287
15b8994409e5c6
hex5b1167294fd7

100130303332311 has 64 divisors (see below), whose sum is σ = 154625229462528. Its totient is φ = 56455023034368.

The previous prime is 100130303332253. The next prime is 100130303332327. The reversal of 100130303332311 is 113233303031001.

It is not a de Polignac number, because 100130303332311 - 219 = 100130302808023 is a prime.

It is a super-2 number, since 2×1001303033323112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130303332331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992193391 + ... + 992294303.

It is an arithmetic number, because the mean of its divisors is an integer number (2416019210352).

Almost surely, 2100130303332311 is an apocalyptic number.

100130303332311 is a deficient number, since it is larger than the sum of its proper divisors (54494926130217).

100130303332311 is a wasteful number, since it uses less digits than its factorization.

100130303332311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102920.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 100130303332311 its reverse (113233303031001), we get a palindrome (213363606363312).

The spelling of 100130303332311 in words is "one hundred trillion, one hundred thirty billion, three hundred three million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 7 21 113 257 339 771 791 1627 1799 2373 4881 5397 11389 29041 34167 87123 100913 183851 203287 302739 418139 551553 609861 706391 1254417 1286957 2119173 2926973 3860871 8780919 11403169 25934641 34209507 47249707 77803923 79822183 141749121 164185451 181542487 239466549 330747949 492556353 544627461 992243847 1149298157 2930614433 3447894471 8791843299 18552955963 20514301031 42195660907 55658867889 61542903093 126586982721 129870691741 295369626349 389612075223 886108879047 4768109682491 14304329047473 33376767777437 100130303332311