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223231130132120 = 235114791059172187
BaseRepresentation
bin110010110000011100001100…
…001101101101111010011000
31002021101200120021111002100222
4302300130030031231322120
5213224404323303211440
62110434544312015212
765006626335321305
oct6260341415557230
91067350507432328
10223231130132120
1165145877377280
1221053831991508
1397737b39578a6
143d1a6314080ac
151ac1b49a512b5
hexcb070c36de98

223231130132120 has 64 divisors (see below), whose sum is σ = 549074862259200. Its totient is φ = 81005488785280.

The previous prime is 223231130132081. The next prime is 223231130132161. The reversal of 223231130132120 is 21231031132322.

It is a super-3 number, since 3×2232311301321203 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223231130132120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529375334 + ... + 529796853.

It is an arithmetic number, because the mean of its divisors is an integer number (8579294722800).

Almost surely, 2223231130132120 is an apocalyptic number.

223231130132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223231130132120 is an abundant number, since it is smaller than the sum of its proper divisors (325843732127080).

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

223231130132120 is a wasteful number, since it uses less digits than its factorization.

223231130132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059172688 (or 1059172684 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 223231130132120 its reverse (21231031132322), we get a palindrome (244462161264442).

The spelling of 223231130132120 in words is "two hundred twenty-three trillion, two hundred thirty-one billion, one hundred thirty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 479 958 1916 2395 3832 4790 5269 9580 10538 19160 21076 26345 42152 52690 105380 210760 1059172187 2118344374 4236688748 5295860935 8473377496 10591721870 11650894057 21183443740 23301788114 42366887480 46603576228 58254470285 93207152456 116508940570 233017881140 466035762280 507343477573 1014686955146 2029373910292 2536717387865 4058747820584 5073434775730 5580778253303 10146869551460 11161556506606 20293739102920 22323113013212 27903891266515 44646226026424 55807782533030 111615565066060 223231130132120