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213113030100 = 223525503129089
BaseRepresentation
bin1100011001111010000…
…1101100010111010100
3202101002012202122002220
43012132201230113110
511442423413430400
6241522555502340
721253065603315
oct3063641542724
9671065678086
10213113030100
1182420827863
12353771579b0
1317133c47499
14a45987060c
1558247a17a0
hex319e86c5d4

213113030100 has 72 divisors (see below), whose sum is σ = 616723860480. Its totient is φ = 56819374080.

The previous prime is 213113030087. The next prime is 213113030129. The reversal of 213113030100 is 1030311312.

213113030100 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 self number, because there is not a number n which added to its sum of digits gives 213113030100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1586356 + ... + 1715444.

Almost surely, 2213113030100 is an apocalyptic number.

213113030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213113030100 is an abundant number, since it is smaller than the sum of its proper divisors (403610830380).

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

213113030100 is a wasteful number, since it uses less digits than its factorization.

213113030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134609 (or 134602 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 213113030100 its reverse (1030311312), we get a palindrome (214143341412).

The spelling of 213113030100 in words is "two hundred thirteen billion, one hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5503 11006 16509 22012 27515 33018 55030 66036 82545 110060 129089 137575 165090 258178 275150 330180 387267 412725 516356 550300 645445 774534 825450 1290890 1549068 1650900 1936335 2581780 3227225 3872670 6454450 7745340 9681675 12908900 19363350 38726700 710376767 1420753534 2131130301 2841507068 3551883835 4262260602 7103767670 8524521204 10655651505 14207535340 17759419175 21311303010 35518838350 42622606020 53278257525 71037676700 106556515050 213113030100