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212102100091 = 7175991133161
BaseRepresentation
bin1100010110001001000…
…1010011010001111011
3202021110202112001211201
43011202101103101323
511433341114200331
6241234404035031
721216042050440
oct3054221232173
9667422461751
10212102100091
1181a52119112
1235134692a77
131700268134b
14a3a14b99c7
1557b5b61a61
hex316245347b

212102100091 has 32 divisors (see below), whose sum is σ = 261305948160. Its totient is φ = 168017740800.

The previous prime is 212102100061. The next prime is 212102100139. The reversal of 212102100091 is 190001201212.

It is a happy number.

It is not a de Polignac number, because 212102100091 - 213 = 212102091899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212102100061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6379551 + ... + 6412711.

It is an arithmetic number, because the mean of its divisors is an integer number (8165810880).

Almost surely, 2212102100091 is an apocalyptic number.

212102100091 is a deficient number, since it is larger than the sum of its proper divisors (49203848069).

212102100091 is a wasteful number, since it uses less digits than its factorization.

212102100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34155.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 212102100091 in words is "two hundred twelve billion, one hundred two million, one hundred thousand, ninety-one".

Divisors: 1 7 17 59 119 413 911 1003 6377 7021 15487 33161 53749 108409 232127 376243 563737 913733 1956499 3946159 6396131 13695493 30209671 33260483 211467697 232823381 513564407 1782370589 3594950849 12476594123 30300300013 212102100091