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334131202111220 = 225109291689525461
BaseRepresentation
bin100101111111000111111101…
…1100111000011011011110100
31121211001122000222020212110222
41023332033323213003123310
5322243401200220024340
63142345431042033512
7130244116446550253
oct11376177347033364
91554048028225428
10334131202111220
119751227989a218
1231584a47648898
131145958b597717
145c7207210a79a
1528967bcc5c8b5
hex12fe3fb9c36f4

334131202111220 has 48 divisors (see below), whose sum is σ = 708116689803600. Its totient is φ = 132425605278720.

The previous prime is 334131202111207. The next prime is 334131202111237. The reversal of 334131202111220 is 22111202131433.

It can be written as a sum of positive squares in 8 ways, for example, as 192345399184 + 333938856712036 = 438572^2 + 18273994^2 .

It is a super-2 number, since 2×3341312021112202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334131202111220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635619290 + ... + 636144750.

It is an arithmetic number, because the mean of its divisors is an integer number (14752431037575).

Almost surely, 2334131202111220 is an apocalyptic number.

It is an amenable number.

334131202111220 is an abundant number, since it is smaller than the sum of its proper divisors (373985487692380).

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

334131202111220 is a wasteful number, since it uses less digits than its factorization.

334131202111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817268 (or 817266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 334131202111220 its reverse (22111202131433), we get a palindrome (356242404242653).

The spelling of 334131202111220 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 291689 525461 583378 1050922 1166756 1458445 2101844 2627305 2916890 5254610 5833780 10509220 31794101 57275249 63588202 114550498 127176404 158970505 229100996 286376245 317941010 572752490 635882020 1145504980 153271193629 306542387258 613084774516 766355968145 1532711936290 3065423872580 16706560105561 33413120211122 66826240422244 83532800527805 167065601055610 334131202111220