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211213220300031 = 31979827260921739
BaseRepresentation
bin110000000001100011101000…
…111101111100010011111111
31000200211210020110220020200010
4300001203220331330103333
5210141004133344100111
62025114003000034303
762326436332246005
oct6001435075742377
91020753213806603
10211213220300031
11613320295a6554
121b832654162993
1390b1423917c31
143a22abad90a75
151964219638aa6
hexc018e8f7c4ff

211213220300031 has 64 divisors (see below), whose sum is σ = 300684026880000. Its totient is φ = 131493511199232.

The previous prime is 211213220300003. The next prime is 211213220300057. The reversal of 211213220300031 is 130003022312112.

It is not a de Polignac number, because 211213220300031 - 221 = 211213218202879 is a prime.

It is a super-2 number, since 2×2112132203000312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211213220299980 and 211213220300007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213220300231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9715855560 + ... + 9715877298.

It is an arithmetic number, because the mean of its divisors is an integer number (4698187920000).

Almost surely, 2211213220300031 is an apocalyptic number.

211213220300031 is a deficient number, since it is larger than the sum of its proper divisors (89470806579969).

211213220300031 is a wasteful number, since it uses less digits than its factorization.

211213220300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25276.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211213220300031 its reverse (130003022312112), we get a palindrome (341216242612143).

The spelling of 211213220300031 in words is "two hundred eleven trillion, two hundred thirteen billion, two hundred twenty million, three hundred thousand, thirty-one".

Divisors: 1 3 19 57 79 237 827 1501 2481 2609 4503 7827 15713 21739 47139 49571 65217 65333 148713 195999 206111 413041 618333 1239123 1241327 1717381 2157643 3723981 3916109 5152143 6472929 11748327 17978153 32630239 40995217 53934459 56717051 97890717 122985651 170151153 170453797 341584907 511361391 1024754721 1077623969 1420274087 3232871907 3238622143 4260822261 4480647029 9715866429 13441941087 26985207653 46905001177 80955622959 85132293551 140715003531 255396880653 891195022363 2673585067089 3705495092983 11116485278949 70404406766677 211213220300031