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101022116 = 22132149441
BaseRepresentation
bin1100000010101…
…11100110100100
321001002110021212
412001113212210
5201330201431
614005130552
72334450056
oct601274644
9231073255
10101022116
115202a458
12299b9a58
1317c10b00
14d5b98d6
158d0772b
hex60579a4

101022116 has 18 divisors (see below), whose sum is σ = 191435202. Its totient is φ = 46625280.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022116 is 611220101.

It can be written as a sum of positive squares in 3 ways, for example, as 4393216 + 96628900 = 2096^2 + 9830^2 .

It is a super-2 number, since 2×1010221162 = 20410935842234912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101022116.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74045 + ... + 75396.

It is an arithmetic number, because the mean of its divisors is an integer number (10635289).

Almost surely, 2101022116 is an apocalyptic number.

It is an amenable number.

101022116 is a deficient number, since it is larger than the sum of its proper divisors (90413086).

101022116 is a wasteful number, since it uses less digits than its factorization.

101022116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149471 (or 149456 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101022116 is about 10050.9758730185. The cubic root of 101022116 is about 465.7349398581.

Adding to 101022116 its reverse (611220101), we get a palindrome (712242217).

The spelling of 101022116 in words is "one hundred one million, twenty-two thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 52 169 338 676 149441 298882 597764 1942733 3885466 7770932 25255529 50511058 101022116