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106983111534 = 231331431028941
BaseRepresentation
bin110001110100010110…
…0001011101101101110
3101020010211121011102020
41203220230023231232
53223100134032114
6121051455211010
710505066305155
oct1435054135556
9336124534366
10106983111534
114140a1a5162
1218898516a66
13a11c4815c0
14526c66259c
152bb2319aa9
hex18e8b0bb6e

106983111534 has 64 divisors (see below), whose sum is σ = 243390056448. Its totient is φ = 31115145600.

The previous prime is 106983111523. The next prime is 106983111569. The reversal of 106983111534 is 435111389601.

It is a super-2 number, since 2×1069831115342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410497 + ... + 618444.

It is an arithmetic number, because the mean of its divisors is an integer number (3802969632).

Almost surely, 2106983111534 is an apocalyptic number.

106983111534 is an abundant number, since it is smaller than the sum of its proper divisors (136406944914).

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

106983111534 is a wasteful number, since it uses less digits than its factorization.

106983111534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029033.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 106983111534 in words is "one hundred six billion, nine hundred eighty-three million, one hundred eleven thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 43 62 78 86 93 129 186 258 403 559 806 1118 1209 1333 1677 2418 2666 3354 3999 7998 17329 34658 51987 103974 1028941 2057882 3086823 6173646 13376233 26752466 31897171 40128699 44244463 63794342 80257398 88488926 95691513 132733389 191383026 265466778 414663223 575178019 829326446 1150356038 1243989669 1371578353 1725534057 2487979338 2743156706 3451068114 4114735059 8229470118 17830518589 35661037178 53491555767 106983111534