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213123120120 = 23325592008667
BaseRepresentation
bin1100011001111100100…
…0001011101111111000
3202101002220202021000100
43012133020023233320
511442434004320440
6241524000035400
721253250426301
oct3063710135770
9671086667010
10213123120120
1182426499619
123537a602b60
131713606b001
14a45ad397a8
1558255e6230
hex319f20bbf8

213123120120 has 48 divisors (see below), whose sum is σ = 692650141560. Its totient is φ = 56832831936.

The previous prime is 213123120113. The next prime is 213123120209. The reversal of 213123120120 is 21021321312.

213123120120 is a `hidden beast` number, since 21 + 312 + 312 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213123120093 and 213123120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296003974 + ... + 296004693.

Almost surely, 2213123120120 is an apocalyptic number.

213123120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213123120120 is an abundant number, since it is smaller than the sum of its proper divisors (479527021440).

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

213123120120 is a wasteful number, since it uses less digits than its factorization.

213123120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592008684 (or 592008677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213123120120 its reverse (21021321312), we get a palindrome (234144441432).

The spelling of 213123120120 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 592008667 1184017334 1776026001 2368034668 2960043335 3552052002 4736069336 5328078003 5920086670 7104104004 8880130005 10656156006 11840173340 14208208008 17760260010 21312312012 23680346680 26640390015 35520520020 42624624024 53280780030 71041040040 106561560060 213123120120