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102112074 = 23229199983
BaseRepresentation
bin1100001011000…
…01101101001010
321010010211102200
412011201231022
5202120041244
614044341030
72346636561
oct605415512
9233124380
10102112074
1152704349
122a244776
1318202c5c
14d7c0bd8
158e70669
hex6161b4a

102112074 has 48 divisors (see below), whose sum is σ = 230256000. Its totient is φ = 32665248.

The previous prime is 102112063. The next prime is 102112121. The reversal of 102112074 is 470211201.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103387 + ... + 104369.

It is an arithmetic number, because the mean of its divisors is an integer number (4797000).

Almost surely, 2102112074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115128000).

102112074 is an abundant number, since it is smaller than the sum of its proper divisors (128143926).

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

102112074 is a wasteful number, since it uses less digits than its factorization.

102112074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102112074 is about 10105.0519048642. The cubic root of 102112074 is about 467.4039365279.

Adding to 102112074 its reverse (470211201), we get a palindrome (572323275).

The spelling of 102112074 in words is "one hundred two million, one hundred twelve thousand, seventy-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 199 261 398 522 597 983 1194 1791 1966 2949 3582 5771 5898 8847 11542 17313 17694 28507 34626 51939 57014 85521 103878 171042 195617 256563 391234 513126 586851 1173702 1760553 3521106 5672893 11345786 17018679 34037358 51056037 102112074