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102120111 = 3237449683
BaseRepresentation
bin1100001011000…
…11101010101111
321010011020110100
412011203222233
5202120320421
614044442143
72350002162
oct605435257
9233136410
10102120111
115270a395
122a249353
1318206802
14d7c3ad9
158e72c26
hex6163aaf

102120111 has 24 divisors (see below), whose sum is σ = 152053200. Its totient is φ = 65995776.

The previous prime is 102120101. The next prime is 102120131. The reversal of 102120111 is 111021201.

It is a happy number.

It is not a de Polignac number, because 102120111 - 29 = 102119599 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 = 102120093 and 102120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120101) 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, 149176 + ... + 149858.

It is an arithmetic number, because the mean of its divisors is an integer number (6335550).

Almost surely, 2102120111 is an apocalyptic number.

102120111 is a deficient number, since it is larger than the sum of its proper divisors (49933089).

102120111 is a wasteful number, since it uses less digits than its factorization.

102120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1172 counting only the distinct ones).

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

The square root of 102120111 is about 10105.4495694155. The cubic root of 102120111 is about 467.4161989593.

The spelling of 102120111 in words is "one hundred two million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 3 9 37 111 333 449 683 1347 2049 4041 6147 16613 25271 49839 75813 149517 227439 306667 920001 2760003 11346679 34040037 102120111