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102000000120 = 233537712571259
BaseRepresentation
bin101111011111110101…
…1000111110001111000
3100202021112222212122020
41132333223013301320
53132344000000440
6114505205554440
710240440460434
oct1367753076170
9322245885566
10102000000120
113a292382867
1217927715a20
139806c86b75
144d189199c4
1529beaec3d0
hex17bfac7c78

102000000120 has 256 divisors, whose sum is σ = 320190796800. Its totient is φ = 25969950720.

The previous prime is 102000000061. The next prime is 102000000127. The reversal of 102000000120 is 21000000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 102000000099 and 102000000108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000000127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81016051 + ... + 81017309.

It is an arithmetic number, because the mean of its divisors is an integer number (1250745300).

Almost surely, 2102000000120 is an apocalyptic number.

102000000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160095398400).

102000000120 is an abundant number, since it is smaller than the sum of its proper divisors (218190796680).

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

102000000120 is a wasteful number, since it uses less digits than its factorization.

102000000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102000000120 its reverse (21000000201), we get a palindrome (123000000321).

The spelling of 102000000120 in words is "one hundred two billion, one hundred twenty", and thus it is an aban number.