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105143433132 = 22316773970997
BaseRepresentation
bin110000111101100001…
…0010111011110101100
3101001101121220211002010
41201323002113132230
53210313204330012
6120145140401220
710411360302243
oct1417302273654
9331347824063
10105143433132
11406557aa591
12184643a6210
139bb82ab1ba
1451361bb95a
152b05a74c3c
hex187b0977ac

105143433132 has 48 divisors (see below), whose sum is σ = 247141198080. Its totient is φ = 34790311872.

The previous prime is 105143433113. The next prime is 105143433149. The reversal of 105143433132 is 231334341501.

It is a happy number.

It is a super-2 number, since 2×1051434331322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105143433132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445458 + ... + 1516454.

It is an arithmetic number, because the mean of its divisors is an integer number (5148774960).

Almost surely, 2105143433132 is an apocalyptic number.

105143433132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105143433132 is an abundant number, since it is smaller than the sum of its proper divisors (141997764948).

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

105143433132 is a wasteful number, since it uses less digits than its factorization.

105143433132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71910 (or 71908 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 105143433132 its reverse (231334341501), we get a palindrome (336477774633).

The spelling of 105143433132 in words is "one hundred five billion, one hundred forty-three million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 167 334 501 668 739 1002 1478 2004 2217 2956 4434 8868 70997 123413 141994 212991 246826 283988 370239 425982 493652 740478 851964 1480956 11856499 23712998 35569497 47425996 52466783 71138994 104933566 142277988 157400349 209867132 314800698 629601396 8761952761 17523905522 26285858283 35047811044 52571716566 105143433132