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211212132020 = 22517976404249
BaseRepresentation
bin1100010010110100111…
…0010101111010110100
3202012011201220000011022
43010231032111322310
511430030301211040
6241010213000312
721155014333361
oct3045516257264
9665151800138
10211212132020
1181635818a0a
1234b26623098
1316bc018ac16
14a319211468
1557629676b5
hex312d395eb4

211212132020 has 48 divisors (see below), whose sum is σ = 474478074000. Its totient is φ = 78695399424.

The previous prime is 211212132007. The next prime is 211212132029. The reversal of 211212132020 is 20231212112.

It can be written as a sum of positive squares in 8 ways, for example, as 270339364 + 210941792656 = 16442^2 + 459284^2 .

It is a super-2 number, since 2×2112121320202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 211212132020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212132029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3169145 + ... + 3235104.

It is an arithmetic number, because the mean of its divisors is an integer number (9884959875).

Almost surely, 2211212132020 is an apocalyptic number.

211212132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212132020 is an abundant number, since it is smaller than the sum of its proper divisors (263265941980).

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

211212132020 is a wasteful number, since it uses less digits than its factorization.

211212132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404372 (or 6404370 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 211212132020 its reverse (20231212112), we get a palindrome (231443344132).

The spelling of 211212132020 in words is "two hundred eleven billion, two hundred twelve million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 6404249 12808498 25616996 32021245 64042490 108872233 128084980 217744466 435488932 544361165 621212153 1088722330 1242424306 2177444660 2484848612 3106060765 6212121530 10560606601 12424243060 21121213202 42242426404 52803033005 105606066010 211212132020