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212835270317 = 59149191126757
BaseRepresentation
bin1100011000110111111…
…0000111111010101101
3202100100212002222022112
43012031332013322231
511441341312122232
6241435234253405
721243153643115
oct3061576077255
9670325088275
10212835270317
1182298a6381a
12352ba127265
13170bb535697
14a430a0a045
15580a1d74b2
hex318df87ead

212835270317 has 16 divisors (see below), whose sum is σ = 219037824000. Its totient is φ = 206733965760.

The previous prime is 212835270313. The next prime is 212835270421. The reversal of 212835270317 is 713072538212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212835270317 - 22 = 212835270313 is a prime.

It is a super-2 number, since 2×2128352703172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212835270313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615703 + ... + 1742459.

It is an arithmetic number, because the mean of its divisors is an integer number (13689864000).

Almost surely, 2212835270317 is an apocalyptic number.

It is an amenable number.

212835270317 is a deficient number, since it is larger than the sum of its proper divisors (6202553683).

212835270317 is a wasteful number, since it uses less digits than its factorization.

212835270317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127156.

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 212835270317 in words is "two hundred twelve billion, eight hundred thirty-five million, two hundred seventy thousand, three hundred seventeen".

Divisors: 1 59 149 191 8791 11269 28459 126757 1679081 7478663 18886793 24210587 1114320787 1428424633 3607377463 212835270317