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135200023214316 = 223372635791199933
BaseRepresentation
bin11110101111011010110101…
…010110110111100011101100
3122201200222220002002111201220
4132233122311112313203230
5120210104121420324231
61155314011102103340
740322610416555064
oct3657326526674354
9581628802074656
10135200023214316
113a09600a4a1175
12131b680627ab50
135a593cc705aa8
142555a04b4a3a4
151096ce22c7896
hex7af6b55b78ec

135200023214316 has 96 divisors (see below), whose sum is σ = 325282547724288. Its totient is φ = 43674169731840.

The previous prime is 135200023214257. The next prime is 135200023214371. The reversal of 135200023214316 is 613412320002531.

It is a super-3 number, since 3×1352000232143163 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676126686 + ... + 676326618.

It is an arithmetic number, because the mean of its divisors is an integer number (3388359872128).

Almost surely, 2135200023214316 is an apocalyptic number.

It is an amenable number.

135200023214316 is an abundant number, since it is smaller than the sum of its proper divisors (190082524509972).

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

135200023214316 is a wasteful number, since it uses less digits than its factorization.

135200023214316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206031 (or 206029 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 135200023214316 its reverse (613412320002531), we get a palindrome (748612343216847).

The spelling of 135200023214316 in words is "one hundred thirty-five trillion, two hundred billion, twenty-three million, two hundred fourteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 263 444 526 789 1052 1578 3156 5791 9731 11582 17373 19462 23164 29193 34746 38924 58386 69492 116772 199933 214267 399866 428534 599799 642801 799732 857068 1199598 1285602 1523033 2399196 2571204 3046066 4569099 6092132 7397521 9138198 14795042 18276396 22192563 29590084 44385126 52582379 56352221 88770252 105164758 112704442 157747137 169056663 210329516 225408884 315494274 338113326 630988548 676226652 1157812003 1945548023 2315624006 3473436009 3891096046 4631248012 5836644069 6946872018 7782192092 11673288138 13893744036 23346576276 42839044111 85678088222 128517132333 171356176444 257034264666 304504556789 514068529332 609009113578 913513670367 1218018227156 1827027340734 3654054681468 11266668601193 22533337202386 33800005803579 45066674404772 67600011607158 135200023214316