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106232729931 = 3337891194821
BaseRepresentation
bin110001011101111110…
…1101101000101001011
3101011012112121211101000
41202323331231011023
53220031034324211
6120445212030043
710450355206536
oct1427375550513
9334175554330
10106232729931
1141064674379
1218709162323
13a02cb82213
1451dab31a1d
152b6b4e4656
hex18bbf6d14b

106232729931 has 32 divisors (see below), whose sum is σ = 163451649600. Its totient is φ = 68133415680.

The previous prime is 106232729899. The next prime is 106232729983. The reversal of 106232729931 is 139927232601.

106232729931 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 327 + 299 + 31 = 666.

It is not a de Polignac number, because 106232729931 - 25 = 106232729899 is a prime.

It is a super-2 number, since 2×1062327299312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106232729431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508500 + ... + 686321.

It is an arithmetic number, because the mean of its divisors is an integer number (5107864050).

Almost surely, 2106232729931 is an apocalyptic number.

106232729931 is a deficient number, since it is larger than the sum of its proper divisors (57218919669).

106232729931 is a wasteful number, since it uses less digits than its factorization.

106232729931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194956 (or 1194950 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 106232729931 in words is "one hundred six billion, two hundred thirty-two million, seven hundred twenty-nine thousand, nine hundred thirty-one".

Divisors: 1 3 9 27 37 89 111 267 333 801 999 2403 3293 9879 29637 88911 1194821 3584463 10753389 32260167 44208377 106339069 132625131 319017207 397875393 957051621 1193626179 2871154863 3934545553 11803636659 35410909977 106232729931