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10202011020 = 2233579239147
BaseRepresentation
bin10011000000001011…
…00101010110001100
3222022222212212011000
421200011211112030
5131343203323040
64404200300300
7510546443235
oct114005452614
928288785130
1010202011020
114365850973
121b88771690
13c677c9c16
146cad0a08c
153ea9b3130
hex26016558c

10202011020 has 96 divisors (see below), whose sum is σ = 32141491200. Its totient is φ = 2686087872.

The previous prime is 10202010991. The next prime is 10202011021. The reversal of 10202011020 is 2011020201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10202010993 and 10202011011.

It is not an unprimeable number, because it can be changed into a prime (10202011021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76914 + ... + 162233.

It is an arithmetic number, because the mean of its divisors is an integer number (334807200).

Almost surely, 210202011020 is an apocalyptic number.

10202011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202011020 is an abundant number, since it is smaller than the sum of its proper divisors (21939480180).

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

10202011020 is a wasteful number, since it uses less digits than its factorization.

10202011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239244 (or 239236 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202011020 its reverse (2011020201), we get a palindrome (12213031221).

The spelling of 10202011020 in words is "ten billion, two hundred two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 239147 478294 717441 956588 1195735 1434882 2152323 2391470 2869764 3587205 4304646 4782940 6456969 7174410 8609292 10761615 12913938 14348820 18892613 21523230 25827876 32284845 37785226 43046460 56677839 64569690 75570452 94463065 113355678 129139380 170033517 188926130 226711356 283389195 340067034 377852260 510100551 566778390 680134068 850167585 1020201102 1133556780 1700335170 2040402204 2550502755 3400670340 5101005510 10202011020