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211221100038 = 231319142524359
BaseRepresentation
bin1100010010110111000…
…0100011011000000110
3202012012100202121222010
43010231300203120012
511430040100200123
6241011133115050
721155153504244
oct3045560433006
9665170677863
10211221100038
118163a8937a3
1234b29628a86
1316bc1caab40
14a31a4a7794
155763639993
hex312dc23606

211221100038 has 32 divisors (see below), whose sum is σ = 478881849600. Its totient is φ = 61570522656.

The previous prime is 211221100031. The next prime is 211221100067. The reversal of 211221100038 is 830001122112.

It is a super-2 number, since 2×2112211000382 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221099987 and 211221100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221100031) 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, 71260698 + ... + 71263661.

It is an arithmetic number, because the mean of its divisors is an integer number (14965057800).

Almost surely, 2211221100038 is an apocalyptic number.

211221100038 is an abundant number, since it is smaller than the sum of its proper divisors (267660749562).

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

211221100038 is a wasteful number, since it uses less digits than its factorization.

211221100038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142524396.

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 211221100038 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred thousand, thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 142524359 285048718 427573077 855146154 1852816667 2707962821 3705633334 5415925642 5558450001 8123888463 11116900002 16247776926 35203516673 70407033346 105610550019 211221100038