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14311134110100 = 22352209832273449
BaseRepresentation
bin1101000001000001001000…
…0100001010000110010100
31212200010112112122101012210
43100100102010022012110
53333433200313010400
650234235542513420
73004642146555342
oct320202204120624
955603475571183
1014311134110100
114618355129673
121731715a35870
137ca6c3704689
1437693c1d0992
1519c3eacdc950
hexd041210a194

14311134110100 has 72 divisors (see below), whose sum is σ = 41408872926400. Its totient is φ = 3816118874880.

The previous prime is 14311134110093. The next prime is 14311134110107. The reversal of 14311134110100 is 101143111341.

It is an interprime number because it is at equal distance from previous prime (14311134110093) and next prime (14311134110107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311134110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5158176 + ... + 7431624.

Almost surely, 214311134110100 is an apocalyptic number.

14311134110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14311134110100 is an abundant number, since it is smaller than the sum of its proper divisors (27097738816300).

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

14311134110100 is a wasteful number, since it uses less digits than its factorization.

14311134110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294449 (or 2294442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 14311134110100 its reverse (101143111341), we get a palindrome (14412277221441).

The spelling of 14311134110100 in words is "fourteen trillion, three hundred eleven billion, one hundred thirty-four million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 20983 41966 62949 83932 104915 125898 209830 251796 314745 419660 524575 629490 1049150 1258980 1573725 2098300 2273449 3147450 4546898 6294900 6820347 9093796 11367245 13640694 22734490 27281388 34101735 45468980 56836225 68203470 113672450 136406940 170508675 227344900 341017350 682034700 47703780367 95407560734 143111341101 190815121468 238518901835 286222682202 477037803670 572445364404 715556705505 954075607340 1192594509175 1431113411010 2385189018350 2862226822020 3577783527525 4770378036700 7155567055050 14311134110100