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101121132 = 22373138833
BaseRepresentation
bin1100000011011…
…11110001101100
321001021111010010
412001233301230
5201341334012
614011213220
72335341540
oct601576154
9231244103
10101121132
1152097892
1229a47210
1317c46bb8
14d603a20
158d26c3c
hex606fc6c

101121132 has 48 divisors (see below), whose sum is σ = 278362112. Its totient is φ = 27959040.

The previous prime is 101121131. The next prime is 101121149. The reversal of 101121132 is 231121101.

It is a super-2 number, since 2×1011211322 = 20450966673922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101121131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16813 + ... + 22020.

Almost surely, 2101121132 is an apocalyptic number.

101121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121132 is an abundant number, since it is smaller than the sum of its proper divisors (177240980).

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

101121132 is a wasteful number, since it uses less digits than its factorization.

101121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38878 (or 38876 counting only the distinct ones).

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

The square root of 101121132 is about 10055.9003575016. The cubic root of 101121132 is about 465.8870522679.

Adding to 101121132 its reverse (231121101), we get a palindrome (332242233).

The spelling of 101121132 in words is "one hundred one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 38833 77666 116499 155332 232998 271831 465996 543662 815493 1087324 1203823 1630986 2407646 3261972 3611469 4815292 7222938 8426761 14445876 16853522 25280283 33707044 50560566 101121132