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213201302100 = 22352863823489
BaseRepresentation
bin1100011010001111001…
…0011011001001010100
3202101022100212022112020
43012203302123021110
511443114013131400
6241535431453140
721255220111143
oct3064362331124
9671270768466
10213201302100
1182466638926
12353a08271b0
1317149312a37
14a46748b75a
15582c3db2a0
hex31a3c9b254

213201302100 has 72 divisors (see below), whose sum is σ = 617577972480. Its totient is φ = 56787732480.

The previous prime is 213201302057. The next prime is 213201302101. The reversal of 213201302100 is 1203102312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213201302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213201302101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152845 + ... + 670644.

It is an arithmetic number, because the mean of its divisors is an integer number (8577471840).

Almost surely, 2213201302100 is an apocalyptic number.

213201302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213201302100 is an abundant number, since it is smaller than the sum of its proper divisors (404376670380).

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

213201302100 is a wasteful number, since it uses less digits than its factorization.

213201302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824369 (or 824362 counting only the distinct ones).

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

Adding to 213201302100 its reverse (1203102312), we get a palindrome (214404404412).

The spelling of 213201302100 in words is "two hundred thirteen billion, two hundred one million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 863 1726 2589 3452 4315 5178 8630 10356 12945 17260 21575 25890 43150 51780 64725 86300 129450 258900 823489 1646978 2470467 3293956 4117445 4940934 8234890 9881868 12352335 16469780 20587225 24704670 41174450 49409340 61761675 82348900 123523350 247046700 710671007 1421342014 2132013021 2842684028 3553355035 4264026042 7106710070 8528052084 10660065105 14213420140 17766775175 21320130210 35533550350 42640260420 53300325525 71067100700 106600651050 213201302100