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201286431108 = 22347100987959
BaseRepresentation
bin1011101101110110011…
…0110011000110000100
3201020112222221011020000
42323131212303012010
511244213311243413
6232245242441300
720354031302010
oct2733546630604
9636488834200
10201286431108
1178401a40a04
1233016503230
1315c9a9b6009
149a56cad540
155381384073
hex2edd9b3184

201286431108 has 120 divisors (see below), whose sum is σ = 601977129600. Its totient is φ = 57452758272.

The previous prime is 201286431079. The next prime is 201286431127. The reversal of 201286431108 is 801134682102.

201286431108 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 8 + 643 + 1 + 1 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2244433 + ... + 2332391.

It is an arithmetic number, because the mean of its divisors is an integer number (5016476080).

Almost surely, 2201286431108 is an apocalyptic number.

201286431108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201286431108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300988564800).

201286431108 is an abundant number, since it is smaller than the sum of its proper divisors (400690698492).

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

201286431108 is a wasteful number, since it uses less digits than its factorization.

201286431108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88991 (or 88980 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 201286431108 in words is "two hundred one billion, two hundred eighty-six million, four hundred thirty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1009 1134 2018 2268 3027 4036 6054 7063 9081 12108 14126 18162 21189 27243 28252 36324 42378 54486 63567 81729 84756 87959 108972 127134 163458 175918 190701 254268 263877 326916 351836 381402 527754 572103 615713 762804 791631 1055508 1144206 1231426 1583262 1847139 2288412 2374893 2462852 3166524 3694278 4749786 5541417 7124679 7388556 9499572 11082834 14249358 16624251 22165668 28498716 33248502 49872753 66497004 88750631 99745506 177501262 199491012 266251893 355002524 532503786 621254417 798755679 1065007572 1242508834 1597511358 1863763251 2396267037 2485017668 3195022716 3727526502 4792534074 5591289753 7188801111 7455053004 9585068148 11182579506 14377602222 16773869259 22365159012 28755204444 33547738518 50321607777 67095477036 100643215554 201286431108