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102910120020 = 22325571722889
BaseRepresentation
bin101111111010111101…
…0111101000001010100
3100211121222112202102200
41133311322331001110
53141224442320040
6115135401004500
710302131405301
oct1376572750124
9324558482380
10102910120020
113a70a097374
1217b40483730
1399206b4856
144da374c0a8
152a24977630
hex17f5ebd054

102910120020 has 36 divisors (see below), whose sum is σ = 312160697940. Its totient is φ = 27442698624.

The previous prime is 102910120009. The next prime is 102910120031. The reversal of 102910120020 is 20021019201.

It is an interprime number because it is at equal distance from previous prime (102910120009) and next prime (102910120031).

It can be written as a sum of positive squares in 2 ways, for example, as 21387307536 + 81522812484 = 146244^2 + 285522^2 .

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 junction number, because it is equal to n+sod(n) for n = 102910119975 and 102910120002.

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, 285861265 + ... + 285861624.

Almost surely, 2102910120020 is an apocalyptic number.

102910120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102910120020 is an abundant number, since it is smaller than the sum of its proper divisors (209250577920).

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

102910120020 is a wasteful number, since it uses less digits than its factorization.

102910120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571722904 (or 571722899 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102910120020 its reverse (20021019201), we get a palindrome (122931139221).

The spelling of 102910120020 in words is "one hundred two billion, nine hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 571722889 1143445778 1715168667 2286891556 2858614445 3430337334 5145506001 5717228890 6860674668 8575843335 10291012002 11434457780 17151686670 20582024004 25727530005 34303373340 51455060010 102910120020