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10001121132 = 2231993418177
BaseRepresentation
bin10010101000001110…
…01111111101101100
3221210222212121000210
421110013033331230
5130440241334012
64332222422420
7502560061362
oct112407177554
927728777023
1010001121132
114272410372
121b31431a10
13c34cc0872
146ac375632
153d803023c
hex2541cff6c

10001121132 has 24 divisors (see below), whose sum is σ = 23347714096. Its totient is φ = 3332026368.

The previous prime is 10001121113. The next prime is 10001121133. The reversal of 10001121132 is 23112110001.

It is a super-2 number, since 2×100011211322 (a number of 21 digits) 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 (10001121133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185173 + ... + 233004.

Almost surely, 210001121132 is an apocalyptic number.

10001121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001121132 is an abundant number, since it is smaller than the sum of its proper divisors (13346592964).

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

10001121132 is a wasteful number, since it uses less digits than its factorization.

10001121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420177 (or 420175 counting only the distinct ones).

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

Adding to 10001121132 its reverse (23112110001), we get a palindrome (33113231133).

The spelling of 10001121132 in words is "ten billion, one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1993 3986 5979 7972 11958 23916 418177 836354 1254531 1672708 2509062 5018124 833426761 1666853522 2500280283 3333707044 5000560566 10001121132