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122213133130 = 251129149257123
BaseRepresentation
bin111000111010001111…
…0000110101101001010
3102200110020120102102011
41301310132012231022
54000243030230010
6132051031330134
711554361330404
oct1616436065512
9380406512364
10122213133130
1147915144870
121b828b2094a
13b6a88666ba
145cb5241b74
1532a4418a8a
hex1c74786b4a

122213133130 has 64 divisors (see below), whose sum is σ = 249924528000. Its totient is φ = 42620542720.

The previous prime is 122213133103. The next prime is 122213133167. The reversal of 122213133130 is 31331312221.

It is a super-2 number, since 2×1222131331302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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, 346749 + ... + 603871.

It is an arithmetic number, because the mean of its divisors is an integer number (3905070750).

Almost surely, 2122213133130 is an apocalyptic number.

122213133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122213133130 is an abundant number, since it is smaller than the sum of its proper divisors (127711394870).

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

122213133130 is a wasteful number, since it uses less digits than its factorization.

122213133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257319.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122213133130 its reverse (31331312221), we get a palindrome (153544445351).

The spelling of 122213133130 in words is "one hundred twenty-two billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 149 290 298 319 638 745 1490 1595 1639 3190 3278 4321 8195 8642 16390 21605 43210 47531 95062 237655 257123 475310 514246 1285615 2571230 2828353 5656706 7456567 14141765 14913134 28283530 37282835 38311327 74565670 76622654 82022237 164044474 191556635 383113270 410111185 421424597 820222370 842849194 1111028483 2107122985 2222056966 4214245970 5555142415 11110284830 12221313313 24442626626 61106566565 122213133130