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211212121020 = 223523391505003
BaseRepresentation
bin1100010010110100111…
…0010011001110111100
3202012011201212110001220
43010231032103032330
511430030300333040
6241010212433340
721155014256325
oct3045516231674
9665151773056
10211212121020
118163581071a
1234b26618850
1316bc0185c04
14a31920b44c
1557629642d0
hex312d3933bc

211212121020 has 48 divisors (see below), whose sum is σ = 591647172480. Its totient is φ = 56299114816.

The previous prime is 211212120991. The next prime is 211212121067. The reversal of 211212121020 is 20121212112.

211212121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112121210202 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612162 + ... + 892841.

It is an arithmetic number, because the mean of its divisors is an integer number (12325982760).

Almost surely, 2211212121020 is an apocalyptic number.

211212121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212121020 is an abundant number, since it is smaller than the sum of its proper divisors (380435051460).

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

211212121020 is a wasteful number, since it uses less digits than its factorization.

211212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507354 (or 1507352 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211212121020 its reverse (20121212112), we get a palindrome (231333333132).

The spelling of 211212121020 in words is "two hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2339 4678 7017 9356 11695 14034 23390 28068 35085 46780 70170 140340 1505003 3010006 4515009 6020012 7525015 9030018 15050030 18060036 22575045 30100060 45150090 90300180 3520202017 7040404034 10560606051 14080808068 17601010085 21121212102 35202020170 42242424204 52803030255 70404040340 105606060510 211212121020