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10121132232 = 2332140571281
BaseRepresentation
bin10010110110100010…
…00011100011001000
3222010100200210022100
421123101003203020
5131212002212412
64352150553400
7505545130101
oct113321034310
928110623270
1010121132232
11432412a4a2
121b65668860
13c53b1c853
146c02953a8
153e3838edc
hex25b4438c8

10121132232 has 24 divisors (see below), whose sum is σ = 27411399990. Its totient is φ = 3373710720.

The previous prime is 10121132213. The next prime is 10121132251. The reversal of 10121132232 is 23223112101.

10121132232 is a `hidden beast` number, since 101 + 211 + 322 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (10121132213) and next prime (10121132251).

It can be written as a sum of positive squares in only one way, i.e., 9228676356 + 892455876 = 96066^2 + 29874^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 70285569 + ... + 70285712.

Almost surely, 210121132232 is an apocalyptic number.

10121132232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121132232 is an abundant number, since it is smaller than the sum of its proper divisors (17290267758).

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

10121132232 is a wasteful number, since it uses less digits than its factorization.

10121132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140571293 (or 140571286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121132232 its reverse (23223112101), we get a palindrome (33344244333).

The spelling of 10121132232 in words is "ten billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140571281 281142562 421713843 562285124 843427686 1124570248 1265141529 1686855372 2530283058 3373710744 5060566116 10121132232