Search a number
-
+
101413632 = 283132049
BaseRepresentation
bin1100000101101…
…11001100000000
321001211100100110
412002313030000
5201430214012
614021351320
72341000365
oct602671400
9231740313
10101413632
1152277621
1229b68540
131801a088
14d67c46c
158d8373c
hex60b7300

101413632 has 36 divisors (see below), whose sum is σ = 269910200. Its totient is φ = 33804288.

The previous prime is 101413603. The next prime is 101413657. The reversal of 101413632 is 236314101.

It is a junction number, because it is equal to n+sod(n) for n = 101413599 and 101413608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65257 + ... + 66792.

Almost surely, 2101413632 is an apocalyptic number.

101413632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101413632 is an abundant number, since it is smaller than the sum of its proper divisors (168496568).

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

101413632 is an equidigital number, since it uses as much as digits as its factorization.

101413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132068 (or 132054 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 101413632 is about 10070.4335557115. The cubic root of 101413632 is about 466.3358235542.

Adding to 101413632 its reverse (236314101), we get a palindrome (337727733).

The spelling of 101413632 in words is "one hundred one million, four hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 132049 264098 396147 528196 792294 1056392 1584588 2112784 3169176 4225568 6338352 8451136 12676704 16902272 25353408 33804544 50706816 101413632