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100311112421322 = 231183109691243121
BaseRepresentation
bin10110110011101110000000…
…001110010000111111001010
3111011011122111220020001022220
4112303232000032100333022
5101121444124234440242
6553202142221354510
730062144610115455
oct2663560016207712
9434148456201286
10100311112421322
1129a64781947050
12b300b70708a36
1343c83b327168a
141aab125b2a49c
15b8e4c7827bec
hex5b3b80390fca

100311112421322 has 128 divisors (see below), whose sum is σ = 223853978557440. Its totient is φ = 29712375936000.

The previous prime is 100311112421279. The next prime is 100311112421323. The reversal of 100311112421322 is 223124211113001.

It is a junction number, because it is equal to n+sod(n) for n = 100311112421292 and 100311112421301.

It is not an unprimeable number, because it can be changed into a prime (100311112421323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412475922 + ... + 412719042.

It is an arithmetic number, because the mean of its divisors is an integer number (1748859207480).

Almost surely, 2100311112421322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100311112421322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111926989278720).

100311112421322 is an abundant number, since it is smaller than the sum of its proper divisors (123542866136118).

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

100311112421322 is a wasteful number, since it uses less digits than its factorization.

100311112421322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244020.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100311112421322 its reverse (223124211113001), we get a palindrome (323435323534323).

The spelling of 100311112421322 in words is "one hundred trillion, three hundred eleven billion, one hundred twelve million, four hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 83 109 166 218 249 327 498 654 691 913 1199 1382 1826 2073 2398 2739 3597 4146 5478 7194 7601 9047 15202 18094 22803 27141 45606 54282 57353 75319 99517 114706 150638 172059 199034 225957 243121 298551 344118 451914 486242 597102 630883 729363 828509 1261766 1458726 1657018 1892649 2485527 2674331 3785298 4971054 5348662 6251477 8022993 12502954 16045986 18754431 20179043 26500189 37508862 40358086 53000378 60537129 68766247 79500567 121074258 137532494 159001134 167996611 206298741 221969473 291502079 335993222 412597482 443938946 503989833 583004158 665908419 874506237 1007979666 1331816838 1749012474 1847962721 2199515687 3695925442 4399031374 5543888163 6598547061 11087776326 13197094122 13943718713 18311630599 24194672557 27887437426 36623261198 41831156139 48389345114 54934891797 72584017671 83662312278 109869783594 145168035342 153380905843 201427936589 306761811686 402855873178 460142717529 604283809767 920285435058 1208567619534 1519865339717 3039730679434 4559596019151 9119192038302 16718518736887 33437037473774 50155556210661 100311112421322