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100331320223013 = 31124123831282881
BaseRepresentation
bin10110110100000000110100…
…101100111010010100100101
3111011020120200012202201220120
4112310000310230322110211
5101122312020434114023
6553215323332552153
730063461434442265
oct2664006454722445
9434216605681816
10100331320223013
1129a723016a7600
12b304a70182659
1343ca283a05699
141aac0c18657a5
15b8ecab93e8e3
hex5b4034b3a525

100331320223013 has 48 divisors (see below), whose sum is σ = 150635289603456. Its totient is φ = 59321067520000.

The previous prime is 100331320222999. The next prime is 100331320223087. The reversal of 100331320223013 is 310322023133001.

It is not a de Polignac number, because 100331320223013 - 26 = 100331320222949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331320223713) 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, 354535333 + ... + 354818213.

It is an arithmetic number, because the mean of its divisors is an integer number (3138235200072).

Almost surely, 2100331320223013 is an apocalyptic number.

It is an amenable number.

100331320223013 is a deficient number, since it is larger than the sum of its proper divisors (50303969380443).

100331320223013 is a wasteful number, since it uses less digits than its factorization.

100331320223013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306778 (or 306767 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 100331320223013 its reverse (310322023133001), we get a palindrome (410653343356014).

The spelling of 100331320223013 in words is "one hundred trillion, three hundred thirty-one billion, three hundred twenty million, two hundred twenty-three thousand, thirteen".

Divisors: 1 3 11 33 41 121 123 363 451 1353 4961 14883 23831 71493 262141 282881 786423 848643 977071 2883551 2931213 3111691 8650653 9335073 10747781 11598121 32243343 34228601 34794363 102685803 118225591 127579331 354676773 382737993 1403372641 4210117923 6741337111 20224011333 74154708221 222464124663 276394821551 815701790431 829184464653 2447105371293 3040343037061 9121029111183 33443773407671 100331320223013