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212022111100 = 22522459862229
BaseRepresentation
bin1100010101110110000…
…0001010101101111100
3202021021012000012120111
43011131200022231330
511433210130023400
6241222425355404
721214051131412
oct3053540125574
9667235005514
10212022111100
1181a10a55208
1235111938b64
1316cbbc25c97
14a394a172b2
1557adb113ba
hex315d80ab7c

212022111100 has 36 divisors (see below), whose sum is σ = 460275618600. Its totient is φ = 84774256960.

The previous prime is 212022111071. The next prime is 212022111121. The reversal of 212022111100 is 1111220212.

212022111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2120221111004 (a number of 46 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 185215 + ... + 677014.

It is an arithmetic number, because the mean of its divisors is an integer number (12785433850).

Almost surely, 2212022111100 is an apocalyptic number.

212022111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022111100 is an abundant number, since it is smaller than the sum of its proper divisors (248253507500).

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

212022111100 is a wasteful number, since it uses less digits than its factorization.

212022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864702 (or 864695 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212022111100 its reverse (1111220212), we get a palindrome (213133331312).

The spelling of 212022111100 in words is "two hundred twelve billion, twenty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2459 4918 9836 12295 24590 49180 61475 122950 245900 862229 1724458 3448916 4311145 8622290 17244580 21555725 43111450 86222900 2120221111 4240442222 8480884444 10601105555 21202211110 42404422220 53005527775 106011055550 212022111100