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213223311120 = 24354491978687
BaseRepresentation
bin1100011010010100011…
…0011000011100010000
3202101100220021111020010
43012211012120130100
511443140131423440
6241541535314520
721255605145321
oct3064506303420
9671326244203
10213223311120
11824780005a6
12353a807ba40
1317150a4a721
14a46a37a448
15582e2d7580
hex31a5198710

213223311120 has 80 divisors (see below), whose sum is σ = 662464742400. Its totient is φ = 56732884992.

The previous prime is 213223311107. The next prime is 213223311151. The reversal of 213223311120 is 21113322312.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881584 + ... + 1097103.

It is an arithmetic number, because the mean of its divisors is an integer number (8280809280).

Almost surely, 2213223311120 is an apocalyptic number.

213223311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213223311120 is an abundant number, since it is smaller than the sum of its proper divisors (449241431280).

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

213223311120 is a wasteful number, since it uses less digits than its factorization.

213223311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979152 (or 1979146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213223311120 its reverse (21113322312), we get a palindrome (234336633432).

The spelling of 213223311120 in words is "two hundred thirteen billion, two hundred twenty-three million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 449 898 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 10776 13470 17960 21552 26940 35920 53880 107760 1978687 3957374 5936061 7914748 9893435 11872122 15829496 19786870 23744244 29680305 31658992 39573740 47488488 59360610 79147480 94976976 118721220 158294960 237442440 474884880 888430463 1776860926 2665291389 3553721852 4442152315 5330582778 7107443704 8884304630 10661165556 13326456945 14214887408 17768609260 21322331112 26652913890 35537218520 42644662224 53305827780 71074437040 106611655560 213223311120