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120133300332314 = 229233347130319661
BaseRepresentation
bin11011010100001010110110…
…101100010010011100011010
3120202100122001020212112101102
4123110022312230102130122
5111221230444341113224
61103300250513351402
734206226113256463
oct3324126654223432
9522318036775342
10120133300332314
1135307279194905
121158277b268562
1352056a1c9bb59
1421946a899dd6a
15dd4e220d54ae
hex6d42b6b1271a

120133300332314 has 64 divisors (see below), whose sum is σ = 187906971882240. Its totient is φ = 57532945989120.

The previous prime is 120133300332271. The next prime is 120133300332317. The reversal of 120133300332314 is 413233003331021.

120133300332314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (120133300332317) 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 31 ways as a sum of consecutive naturals, for example, 6110223644 + ... + 6110243304.

It is an arithmetic number, because the mean of its divisors is an integer number (2936046435660).

Almost surely, 2120133300332314 is an apocalyptic number.

120133300332314 is a deficient number, since it is larger than the sum of its proper divisors (67773671549926).

120133300332314 is a wasteful number, since it uses less digits than its factorization.

120133300332314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21575.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 120133300332314 its reverse (413233003331021), we get a palindrome (533366303663335).

The spelling of 120133300332314 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred million, three hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 29 58 233 347 466 694 1303 2606 6757 10063 13514 19661 20126 37787 39322 75574 80851 161702 303599 452141 570169 607198 904282 1140338 2344679 4581013 4689358 6822367 8804371 9162026 13112089 13644734 17608742 25618283 26224178 51236566 105348853 132849377 197848643 210697706 265698754 395697286 742930207 1485860414 1589611511 3055116737 3179223022 5969059939 6110233474 8889544201 11938119878 17779088402 46098733819 92197467638 173102738231 257796781829 346205476462 515593563658 2071263798833 4142527597666 60066650166157 120133300332314