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10201520520 = 2332550955673
BaseRepresentation
bin10011000000000111…
…01101100110001000
3222022221221221022100
421200003231212020
5131343042124040
64404141553400
7510542331222
oct114003554610
928287857270
1010201520520
1143655463a4
121b88575860
13c67687899
146cac1d412
153ea917b30
hex2600ed988

10201520520 has 96 divisors (see below), whose sum is σ = 33220675800. Its totient is φ = 2715012096.

The previous prime is 10201520519. The next prime is 10201520543. The reversal of 10201520520 is 2502510201.

It can be written as a sum of positive squares in 4 ways, for example, as 10128007044 + 73513476 = 100638^2 + 8574^2 .

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 = 10201520493 and 10201520502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155404 + ... + 211076.

Almost surely, 210201520520 is an apocalyptic number.

10201520520 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 10201520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16610337900).

10201520520 is an abundant number, since it is smaller than the sum of its proper divisors (23019155280).

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

10201520520 is a wasteful number, since it uses less digits than its factorization.

10201520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56199 (or 56192 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 10201520520 in words is "ten billion, two hundred one million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 509 1018 1527 2036 2545 3054 4072 4581 5090 6108 7635 9162 10180 12216 15270 18324 20360 22905 30540 36648 45810 55673 61080 91620 111346 167019 183240 222692 278365 334038 445384 501057 556730 668076 835095 1002114 1113460 1336152 1670190 2004228 2226920 2505285 3340380 4008456 5010570 6680760 10021140 20042280 28337557 56675114 85012671 113350228 141687785 170025342 226700456 255038013 283375570 340050684 425063355 510076026 566751140 680101368 850126710 1020152052 1133502280 1275190065 1700253420 2040304104 2550380130 3400506840 5100760260 10201520520