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10202201988 = 22311257311967
BaseRepresentation
bin10011000000001100…
…10011111110000100
3222100000020120002220
421200012103332010
5131343230430423
64404204332340
7510551200056
oct114006237604
928300216086
1010202201988
1143659713a0
121b888440b0
13c67865b14
146cad598d6
153ea9ee9e3
hex260193f84

10202201988 has 96 divisors (see below), whose sum is σ = 26181163008. Its totient is φ = 3066470400.

The previous prime is 10202201939. The next prime is 10202202011. The reversal of 10202201988 is 88910220201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10549881 + ... + 10550847.

It is an arithmetic number, because the mean of its divisors is an integer number (272720448).

Almost surely, 210202201988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202201988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090581504).

10202201988 is an abundant number, since it is smaller than the sum of its proper divisors (15978961020).

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

10202201988 is a wasteful number, since it uses less digits than its factorization.

10202201988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10202201988 in words is "ten billion, two hundred two million, two hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 311 514 622 771 933 967 1028 1244 1542 1866 1934 2827 2901 3084 3421 3732 3868 5654 5802 6842 8481 10263 10637 11308 11604 13684 16962 20526 21274 31911 33924 41052 42548 63822 79927 127644 159854 239781 248519 300737 319708 479562 497038 601474 745557 879197 902211 959124 994076 1202948 1491114 1758394 1804422 2637591 2733709 2982228 3308107 3516788 3608844 5275182 5467418 6616214 8201127 9924321 10550364 10934836 13232428 16402254 19848642 32804508 39697284 77289409 154578818 231868227 309157636 463736454 850183499 927472908 1700366998 2550550497 3400733996 5101100994 10202201988