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106186252233 = 3375930615297
BaseRepresentation
bin110001011100100110…
…0011001111111001001
3101011002022011111221210
41202321030121333021
53214432140032413
6120440431523333
710446252152205
oct1427114317711
9334068144853
10106186252233
1141040409a56
12186b5689549
13a02335b119
1451d48b3b05
152b673b33c3
hex18b9319fc9

106186252233 has 32 divisors (see below), whose sum is σ = 147948981120. Its totient is φ = 67675253760.

The previous prime is 106186252189. The next prime is 106186252253. The reversal of 106186252233 is 332252681601.

It is a happy number.

It is not a de Polignac number, because 106186252233 - 210 = 106186251209 is a prime.

It is a super-2 number, since 2×1061862522332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106186252191 and 106186252200.

It is not an unprimeable number, because it can be changed into a prime (106186252253) 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, 20043841 + ... + 20049137.

It is an arithmetic number, because the mean of its divisors is an integer number (4623405660).

Almost surely, 2106186252233 is an apocalyptic number.

It is an amenable number.

106186252233 is a deficient number, since it is larger than the sum of its proper divisors (41762728887).

106186252233 is a wasteful number, since it uses less digits than its factorization.

106186252233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 106186252233 in words is "one hundred six billion, one hundred eighty-six million, two hundred fifty-two thousand, two hundred thirty-three".

Divisors: 1 3 37 59 111 177 2183 3061 5297 6549 9183 15891 113257 180599 195989 312523 339771 541797 587967 937569 6682163 11563351 16214117 20046489 34690053 48642351 599922329 956632903 1799766987 2869898709 35395417411 106186252233