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102121001016 = 2335972119351
BaseRepresentation
bin101111100011011100…
…0101101000000111000
3100202120222200100122220
41133012320231000320
53133120434013031
6114525211244040
710243440120636
oct1370670550070
9322528610586
10102121001016
113a344708601
1217960149620
139826071528
144d2aa16356
1529ca54e596
hex17c6e2d038

102121001016 has 32 divisors (see below), whose sum is σ = 259629667200. Its totient is φ = 33463378400.

The previous prime is 102121001011. The next prime is 102121001083. The reversal of 102121001016 is 610100121201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102121000986 and 102121001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121001011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36058260 + ... + 36061091.

It is an arithmetic number, because the mean of its divisors is an integer number (8113427100).

Almost surely, 2102121001016 is an apocalyptic number.

It is an amenable number.

102121001016 is an abundant number, since it is smaller than the sum of its proper divisors (157508666184).

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

102121001016 is a wasteful number, since it uses less digits than its factorization.

102121001016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72119419 (or 72119415 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102121001016 its reverse (610100121201), we get a palindrome (712221122217).

The spelling of 102121001016 in words is "one hundred two billion, one hundred twenty-one million, one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 72119351 144238702 216358053 288477404 432716106 576954808 865432212 1730864424 4255041709 8510083418 12765125127 17020166836 25530250254 34040333672 51060500508 102121001016