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101022132 = 2238418511
BaseRepresentation
bin1100000010101…
…11100110110100
321001002110022110
412001113212310
5201330202012
614005131020
72334450111
oct601274664
9231073273
10101022132
115202a472
12299b9a70
1317c10b13
14d5b9908
158d0773c
hex60579b4

101022132 has 12 divisors (see below), whose sum is σ = 235718336. Its totient is φ = 33674040.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022132 is 231220101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8418511 = 101022132 / (1 + 0 + 1 + 0 + 2 + 2 + 1 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4209244 + ... + 4209267.

Almost surely, 2101022132 is an apocalyptic number.

101022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022132 is an abundant number, since it is smaller than the sum of its proper divisors (134696204).

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

101022132 is a wasteful number, since it uses less digits than its factorization.

101022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418518 (or 8418516 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101022132 is about 10050.9766689611. The cubic root of 101022132 is about 465.7349644460.

Adding to 101022132 its reverse (231220101), we get a palindrome (332242233).

The spelling of 101022132 in words is "one hundred one million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8418511 16837022 25255533 33674044 50511066 101022132