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106111171650 = 2352111035631109
BaseRepresentation
bin110001011010010110…
…1111111110001000010
3101010220001220000202110
41202310231333301002
53214303424443100
6120425150400150
710444351035321
oct1426455776102
9333801800673
10106111171650
1141001a98890
1218694500056
13a010930c43
1451c892c0b8
152b609d2250
hex18b4b7fc42

106111171650 has 192 divisors, whose sum is σ = 290642826240. Its totient is φ = 25405996800.

The previous prime is 106111171643. The next prime is 106111171703. The reversal of 106111171650 is 56171111601.

It is a super-2 number, since 2×1061111716502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95681296 + ... + 95682404.

It is an arithmetic number, because the mean of its divisors is an integer number (1513764720).

Almost surely, 2106111171650 is an apocalyptic number.

106111171650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106111171650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145321413120).

106111171650 is an abundant number, since it is smaller than the sum of its proper divisors (184531654590).

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

106111171650 is a wasteful number, since it uses less digits than its factorization.

106111171650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 30.

The spelling of 106111171650 in words is "one hundred six billion, one hundred eleven million, one hundred seventy-one thousand, six hundred fifty".