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10171021320 = 2332528252837
BaseRepresentation
bin10010111100011110…
…10111100000001000
3222020211120102021100
421132033113200020
5131312240140240
64401132141400
7510022153245
oct113617274010
928224512240
1010171021320
11434a304949
121b7a307860
13c61269615
146c6b605cc
153e7de0e30
hex25e3d7808

10171021320 has 48 divisors (see below), whose sum is σ = 33055820460. Its totient is φ = 2712272256.

The previous prime is 10171021319. The next prime is 10171021321. The reversal of 10171021320 is 2312017101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10171021319) and next prime (10171021321).

It can be written as a sum of positive squares in 2 ways, for example, as 10043647524 + 127373796 = 100218^2 + 11286^2 .

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 = 10171021293 and 10171021302.

It is not an unprimeable number, because it can be changed into a prime (10171021321) 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, 14126059 + ... + 14126778.

Almost surely, 210171021320 is an apocalyptic number.

10171021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10171021320 is an abundant number, since it is smaller than the sum of its proper divisors (22884799140).

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

10171021320 is a wasteful number, since it uses less digits than its factorization.

10171021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28252854 (or 28252847 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10171021320 its reverse (2312017101), we get a palindrome (12483038421).

The spelling of 10171021320 in words is "ten billion, one hundred seventy-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28252837 56505674 84758511 113011348 141264185 169517022 226022696 254275533 282528370 339034044 423792555 508551066 565056740 678068088 847585110 1017102132 1130113480 1271377665 1695170220 2034204264 2542755330 3390340440 5085510660 10171021320