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102112011 = 32131257337
BaseRepresentation
bin1100001011000…
…01101100001011
321010010211100100
412011201230023
5202120041021
614044340443
72346636441
oct605415413
9233124310
10102112011
11527042a1
122a244723
1318202c11
14d7c0b91
158e70626
hex6161b0b

102112011 has 24 divisors (see below), whose sum is σ = 149642064. Its totient is φ = 67092480.

The previous prime is 102112009. The next prime is 102112063. The reversal of 102112011 is 110211201.

It is a happy number.

It is not a de Polignac number, because 102112011 - 21 = 102112009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 102111984 and 102112002.

It is not an unprimeable number, because it can be changed into a prime (102112211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302835 + ... + 303171.

It is an arithmetic number, because the mean of its divisors is an integer number (6235086).

Almost surely, 2102112011 is an apocalyptic number.

102112011 is a deficient number, since it is larger than the sum of its proper divisors (47530053).

102112011 is a wasteful number, since it uses less digits than its factorization.

102112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 102112011 is about 10105.0487876111. The cubic root of 102112011 is about 467.4038404033.

Adding to 102112011 its reverse (110211201), we get a palindrome (212323212).

The spelling of 102112011 in words is "one hundred two million, one hundred twelve thousand, eleven".

Divisors: 1 3 9 131 257 337 393 771 1011 1179 2313 3033 33667 44147 86609 101001 132441 259827 303003 397323 779481 11345779 34037337 102112011