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211388310042 = 23713539371789
BaseRepresentation
bin1100010011011110111…
…0011010001000011010
3202012122000101202222020
43010313232122020122
511430410401410132
6241035505035310
721162253663050
oct3046756321032
9665560352866
10211388310042
1181716210088
1234b75625b36
1316c1a824280
14a3347921d0
15577316852c
hex3137b9a21a

211388310042 has 64 divisors (see below), whose sum is σ = 520444189440. Its totient is φ = 55739649024.

The previous prime is 211388310031. The next prime is 211388310043. The reversal of 211388310042 is 240013883112.

211388310042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211388309985 and 211388310012.

It is not an unprimeable number, because it can be changed into a prime (211388310043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2908684 + ... + 2980472.

It is an arithmetic number, because the mean of its divisors is an integer number (8131940460).

Almost surely, 2211388310042 is an apocalyptic number.

211388310042 is an abundant number, since it is smaller than the sum of its proper divisors (309055879398).

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

211388310042 is a wasteful number, since it uses less digits than its factorization.

211388310042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77207.

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 211388310042 in words is "two hundred eleven billion, three hundred eighty-eight million, three hundred ten thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 5393 10786 16179 32358 37751 70109 71789 75502 113253 140218 143578 210327 215367 226506 420654 430734 490763 502523 933257 981526 1005046 1472289 1507569 1866514 2799771 2944578 3015138 5599542 6532799 13065598 19598397 39196794 387158077 774316154 1161474231 2322948462 2710106539 5033055001 5420213078 8130319617 10066110002 15099165003 16260639234 30198330006 35231385007 70462770014 105694155021 211388310042