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10102210211220 = 2235463754176703
BaseRepresentation
bin1001001100000001101010…
…1001101010110110010100
31022202202120101202221212220
42103000122221222312110
52311003311303224340
633252520304342340
72061601120661301
oct223003251526624
938682511687786
1010102210211220
113245361333566
121171a619149b0
1358383283334a
1426cd419280a8
15127bad214ed0
hex9301aa6ad94

10102210211220 has 96 divisors (see below), whose sum is σ = 28301733186048. Its totient is φ = 2692442821632.

The previous prime is 10102210211209. The next prime is 10102210211227. The reversal of 10102210211220 is 2211201220101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102210211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102210211227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507114389 + ... + 1507121091.

It is an arithmetic number, because the mean of its divisors is an integer number (294809720688).

Almost surely, 210102210211220 is an apocalyptic number.

10102210211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102210211220 is an abundant number, since it is smaller than the sum of its proper divisors (18199522974828).

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

10102210211220 is a wasteful number, since it uses less digits than its factorization.

10102210211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16769 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102210211220 its reverse (2211201220101), we get a palindrome (12313411431321).

The spelling of 10102210211220 in words is "ten trillion, one hundred two billion, two hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4637 5417 6703 9274 10834 13406 13911 16251 18548 20109 21668 23185 26812 27085 27822 32502 33515 40218 46370 54170 55644 65004 67030 69555 80436 81255 92740 100545 108340 134060 139110 162510 201090 278220 325020 402180 25118629 31081811 36310151 50237258 62163622 72620302 75355887 93245433 100474516 108930453 124327244 125593145 145240604 150711774 155409055 181550755 186490866 217860906 251186290 301423548 310818110 363101510 372981732 376779435 435721812 466227165 502372580 544652265 621636220 726203020 753558870 932454330 1089304530 1507117740 1864908660 2178609060 168370170187 336740340374 505110510561 673480680748 841850850935 1010221021122 1683701701870 2020442042244 2525552552805 3367403403740 5051105105610 10102210211220