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10152352120 = 23513715112269
BaseRepresentation
bin10010111010010000…
…01001100101111000
3222012112102220221111
421131020021211320
5131243000231440
64355224050104
7506404366141
oct113510114570
928175386844
1010152352120
11433a813459
121b74003934
13c5a430b61
146c44a0ac8
153e64544ea
hex25d209978

10152352120 has 64 divisors (see below), whose sum is σ = 23163796800. Its totient is φ = 4004275200.

The previous prime is 10152352097. The next prime is 10152352151. The reversal of 10152352120 is 2125325101.

It is a junction number, because it is equal to n+sod(n) for n = 10152352091 and 10152352100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821346 + ... + 833614.

It is an arithmetic number, because the mean of its divisors is an integer number (361934325).

Almost surely, 210152352120 is an apocalyptic number.

10152352120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152352120 is an abundant number, since it is smaller than the sum of its proper divisors (13011444680).

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

10152352120 is a wasteful number, since it uses less digits than its factorization.

10152352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 10152352120 its reverse (2125325101), we get a palindrome (12277677221).

The spelling of 10152352120 in words is "ten billion, one hundred fifty-two million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 151 274 302 548 604 685 755 1096 1208 1370 1510 2740 3020 5480 6040 12269 20687 24538 41374 49076 61345 82748 98152 103435 122690 165496 206870 245380 413740 490760 827480 1680853 1852619 3361706 3705238 6723412 7410476 8404265 9263095 13446824 14820952 16808530 18526190 33617060 37052380 67234120 74104760 253808803 507617606 1015235212 1269044015 2030470424 2538088030 5076176060 10152352120