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102122313012 = 22325874832591
BaseRepresentation
bin101111100011011110…
…1101101010100110100
3100202121002011000101100
41133012331231110310
53133121303004022
6114525255330100
710243454223666
oct1370675552464
9322532130340
10102122313012
113a3454242a5
1217960680930
139826410765
144d2ac78536
1529ca70d1ac
hex17c6f6d534

102122313012 has 36 divisors (see below), whose sum is σ = 258582332736. Its totient is φ = 33982772880.

The previous prime is 102122312987. The next prime is 102122313017. The reversal of 102122313012 is 210313221201.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122313017) 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, 2395164 + ... + 2437427.

It is an arithmetic number, because the mean of its divisors is an integer number (7182842576).

Almost surely, 2102122313012 is an apocalyptic number.

102122313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122313012 is an abundant number, since it is smaller than the sum of its proper divisors (156460019724).

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

102122313012 is a wasteful number, since it uses less digits than its factorization.

102122313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833188 (or 4833183 counting only the distinct ones).

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

Adding to 102122313012 its reverse (210313221201), we get a palindrome (312435534213).

The spelling of 102122313012 in words is "one hundred two billion, one hundred twenty-two million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 587 1174 1761 2348 3522 5283 7044 10566 21132 4832591 9665182 14497773 19330364 28995546 43493319 57991092 86986638 173973276 2836730917 5673461834 8510192751 11346923668 17020385502 25530578253 34040771004 51061156506 102122313012