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106853349843 = 3231382986917
BaseRepresentation
bin110001110000011110…
…1001011100111010011
3101012210210102120211200
41203200331023213103
53222313424143333
6121030542042243
710501632326202
oct1434075134723
9335723376750
10106853349843
1141352a26299
1218860b79383
13a0cb61a436
145259325239
152ba5c36c13
hex18e0f4b9d3

106853349843 has 12 divisors (see below), whose sum is σ = 159322557888. Its totient is φ = 68937644880.

The previous prime is 106853349797. The next prime is 106853349853. The reversal of 106853349843 is 348943358601.

106853349843 is a `hidden beast` number, since 1 + 0 + 6 + 85 + 33 + 498 + 43 = 666.

It is a de Polignac number, because none of the positive numbers 2k-106853349843 is a prime.

It is a super-2 number, since 2×1068533498432 (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 106853349843.

It is not an unprimeable number, because it can be changed into a prime (106853349853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191493180 + ... + 191493737.

It is an arithmetic number, because the mean of its divisors is an integer number (13276879824).

Almost surely, 2106853349843 is an apocalyptic number.

106853349843 is a deficient number, since it is larger than the sum of its proper divisors (52469208045).

106853349843 is a wasteful number, since it uses less digits than its factorization.

106853349843 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382986954 (or 382986951 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

It can be divided in two parts, 10685 and 3349843, that added together give a triangular number (3360528 = T2592).

The spelling of 106853349843 in words is "one hundred six billion, eight hundred fifty-three million, three hundred forty-nine thousand, eight hundred forty-three".

Divisors: 1 3 9 31 93 279 382986917 1148960751 3446882253 11872594427 35617783281 106853349843