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102123213012 = 223219149302943
BaseRepresentation
bin101111100011100000…
…1001001000011010100
3100202121010211201221200
41133013001021003110
53133122020304022
6114525330512500
710243464662622
oct1370701110324
9322533751850
10102123213012
113a3459894a7
1217960a35730
1398266672c2
144d2b030512
1529ca839bac
hex17c70490d4

102123213012 has 36 divisors (see below), whose sum is σ = 271731358080. Its totient is φ = 32249435472.

The previous prime is 102123213007. The next prime is 102123213041. The reversal of 102123213012 is 210312321201.

102123213012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1021232130122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74650788 + ... + 74652155.

It is an arithmetic number, because the mean of its divisors is an integer number (7548093280).

Almost surely, 2102123213012 is an apocalyptic number.

102123213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102123213012 is an abundant number, since it is smaller than the sum of its proper divisors (169608145068).

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

102123213012 is a wasteful number, since it uses less digits than its factorization.

102123213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149302972 (or 149302967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102123213012 its reverse (210312321201), we get a palindrome (312435534213).

The spelling of 102123213012 in words is "one hundred two billion, one hundred twenty-three million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 149302943 298605886 447908829 597211772 895817658 1343726487 1791635316 2687452974 2836755917 5374905948 5673511834 8510267751 11347023668 17020535502 25530803253 34041071004 51061606506 102123213012