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102001131 = 3226343093
BaseRepresentation
bin1100001010001…
…10100111101011
321002221012020200
412011012213223
5202103014011
614042123243
72345665251
oct605064753
9232835220
10102001131
1152638a61
122a1b0523
13181945cb
14d7925d1
158e4c856
hex61469eb

102001131 has 12 divisors (see below), whose sum is σ = 147898608. Its totient is φ = 67740624.

The previous prime is 102001127. The next prime is 102001157. The reversal of 102001131 is 131100201.

It is not a de Polignac number, because 102001131 - 22 = 102001127 is a prime.

It is a super-2 number, since 2×1020011312 = 20808461450558322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102001121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19180 + ... + 23913.

It is an arithmetic number, because the mean of its divisors is an integer number (12324884).

Almost surely, 2102001131 is an apocalyptic number.

102001131 is a deficient number, since it is larger than the sum of its proper divisors (45897477).

102001131 is a wasteful number, since it uses less digits than its factorization.

102001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43362 (or 43359 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102001131 is about 10099.5609310504. The cubic root of 102001131 is about 467.2345997585.

Adding to 102001131 its reverse (131100201), we get a palindrome (233101332).

The spelling of 102001131 in words is "one hundred two million, one thousand, one hundred thirty-one".

Divisors: 1 3 9 263 789 2367 43093 129279 387837 11333459 34000377 102001131