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212311120020 = 223516692120143
BaseRepresentation
bin1100010110111010111…
…0101001100010010100
3202022000022211101021120
43011232232221202110
511434303121320040
6241311232043540
721224160513126
oct3055656514224
9668008741246
10212311120020
118204a10195a
12351926935b0
1317036a7608c
14a3c1169216
1557c919d7d0
hex316eba9894

212311120020 has 48 divisors (see below), whose sum is σ = 594827600640. Its totient is φ = 56582349696.

The previous prime is 212311120019. The next prime is 212311120033. The reversal of 212311120020 is 20021113212.

212311120020 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 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 15 ways as a sum of consecutive naturals, for example, 959932 + ... + 1160211.

It is an arithmetic number, because the mean of its divisors is an integer number (12392241680).

Almost surely, 2212311120020 is an apocalyptic number.

212311120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212311120020 is an abundant number, since it is smaller than the sum of its proper divisors (382516480620).

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

212311120020 is a wasteful number, since it uses less digits than its factorization.

212311120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121824 (or 2121822 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212311120020 its reverse (20021113212), we get a palindrome (232332233232).

The spelling of 212311120020 in words is "two hundred twelve billion, three hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1669 3338 5007 6676 8345 10014 16690 20028 25035 33380 50070 100140 2120143 4240286 6360429 8480572 10600715 12720858 21201430 25441716 31802145 42402860 63604290 127208580 3538518667 7077037334 10615556001 14154074668 17692593335 21231112002 35385186670 42462224004 53077780005 70770373340 106155560010 212311120020