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213123100020 = 223523154437029
BaseRepresentation
bin1100011001111100100…
…0000110110101110100
3202101002220201020102220
43012133020012311310
511442434003200040
6241523555402340
721253250313555
oct3063710066564
9671086636386
10213123100020
1182426485506
123537a5b33b0
1317136061b0c
14a45ad3232c
1558255e02d0
hex319f206d74

213123100020 has 48 divisors (see below), whose sum is σ = 622690104960. Its totient is φ = 54361833856.

The previous prime is 213123100007. The next prime is 213123100027. The reversal of 213123100020 is 20001321312.

213123100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123100027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77217135 + ... + 77219894.

It is an arithmetic number, because the mean of its divisors is an integer number (12972710520).

Almost surely, 2213123100020 is an apocalyptic number.

213123100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213123100020 is an abundant number, since it is smaller than the sum of its proper divisors (409567004940).

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

213123100020 is a wasteful number, since it uses less digits than its factorization.

213123100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154437064 (or 154437062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213123100020 its reverse (20001321312), we get a palindrome (233124421332).

The spelling of 213123100020 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 154437029 308874058 463311087 617748116 772185145 926622174 1544370290 1853244348 2316555435 3088740580 3552051667 4633110870 7104103334 9266221740 10656155001 14208206668 17760258335 21312310002 35520516670 42624620004 53280775005 71041033340 106561550010 213123100020