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132200255235114 = 232112997432363069
BaseRepresentation
bin11110000011110001000101…
…010000001010010000101010
3122100002012222002102002222200
4132003301011100022100222
5114311432110320010424
61145055543035401030
736563103364501323
oct3603610520122052
9570065862362880
10132200255235114
11391398a4699120
12129b1365bb3176
13589c579c91c01
1424907529ad44a
151043c731158c9
hex783c4540a42a

132200255235114 has 96 divisors (see below), whose sum is σ = 323281587283200. Its totient is φ = 38675294206080.

The previous prime is 132200255235101. The next prime is 132200255235121. The reversal of 132200255235114 is 411532552002231.

132200255235114 is a `hidden beast` number, since 1 + 3 + 220 + 0 + 25 + 52 + 351 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54762772 + ... + 57125840.

It is an arithmetic number, because the mean of its divisors is an integer number (3367516534200).

Almost surely, 2132200255235114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132200255235114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161640793641600).

132200255235114 is an abundant number, since it is smaller than the sum of its proper divisors (191081332048086).

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

132200255235114 is a wasteful number, since it uses less digits than its factorization.

132200255235114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372860 (or 2372857 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 132200255235114 in words is "one hundred thirty-two trillion, two hundred billion, two hundred fifty-five million, two hundred thirty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 9743 19486 29229 58458 87687 107173 175374 214346 282547 321519 565094 643038 847641 964557 1695282 1929114 2363069 2542923 3108017 4726138 5085846 6216034 7089207 9324051 14178414 18648102 21267621 25993759 27972153 42535242 51987518 55944306 68529001 77981277 137058002 155962554 205587003 233943831 411174006 467887662 616761009 753819011 1233522018 1507638022 2261457033 4522914066 6784371099 13568742198 23023381267 46046762534 69070143801 138140287602 207210431403 253257193937 414420862806 506514387874 667678056743 759771581811 1335356113486 1519543163622 2003034170229 2279314745433 4006068340458 4558629490866 6009102510687 7344458624173 12018205021374 14688917248346 22033375872519 44066751745038 66100127617557 132200255235114