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213122031220 = 225721123930187
BaseRepresentation
bin1100011001111100010…
…0000001111001110100
3202101002211200221022201
43012133010001321310
511442433214444340
6241523520434244
721253235242540
oct3063704017164
9671084627281
10213122031220
11824259154aa
123537a178984
1317135a794a7
14a45ab34a20
15582547d79a
hex319f101e74

213122031220 has 96 divisors (see below), whose sum is σ = 516084387840. Its totient is φ = 72417421440.

The previous prime is 213122031217. The next prime is 213122031259. The reversal of 213122031220 is 22130221312.

It is a congruent number.

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, 7044967 + ... + 7075153.

It is an arithmetic number, because the mean of its divisors is an integer number (5375879040).

Almost surely, 2213122031220 is an apocalyptic number.

213122031220 is a gapful number since it is divisible by the number (20) 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 213122031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258042193920).

213122031220 is an abundant number, since it is smaller than the sum of its proper divisors (302962356620).

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

213122031220 is a wasteful number, since it uses less digits than its factorization.

213122031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30653 (or 30651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213122031220 its reverse (22130221312), we get a palindrome (235252252532).

The spelling of 213122031220 in words is "two hundred thirteen billion, one hundred twenty-two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 239 422 478 844 956 1055 1195 1477 1673 2110 2390 2954 3346 4220 4780 5908 6692 7385 8365 14770 16730 29540 30187 33460 50429 60374 100858 120748 150935 201716 211309 252145 301870 353003 422618 504290 603740 706006 845236 1008580 1056545 1412012 1765015 2113090 3530030 4226180 6369457 7060060 7214693 12738914 14429386 25477828 28858772 31847285 36073465 44586199 50502851 63694570 72146930 89172398 101005702 127389140 144293860 178344796 202011404 222930995 252514255 445861990 505028510 891723980 1010057020 1522300223 3044600446 6089200892 7611501115 10656101561 15223002230 21312203122 30446004460 42624406244 53280507805 106561015610 213122031220