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100151040442668 = 223119691773739313
BaseRepresentation
bin10110110001011000111011…
…001100001000000100101100
3111010121100100012120000011220
4112301120323030020010230
5101111333312323131133
6553000430335343340
730044450100545115
oct2661307314100454
9433540305500156
10100151040442668
1129a028aa4412a6
12b295b38981b50
1343b6283122747
141aa349c83b20c
15b8a2598bd5b3
hex5b163b30812c

100151040442668 has 48 divisors (see below), whose sum is σ = 233724406497120. Its totient is φ = 33378159919104.

The previous prime is 100151040442657. The next prime is 100151040442697. The reversal of 100151040442668 is 866244040151001.

It is a super-3 number, since 3×1001510404426683 (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 15 ways as a sum of consecutive naturals, for example, 2547510180 + ... + 2547549492.

It is an arithmetic number, because the mean of its divisors is an integer number (4869258468690).

Almost surely, 2100151040442668 is an apocalyptic number.

It is an amenable number.

100151040442668 is an abundant number, since it is smaller than the sum of its proper divisors (133573366054452).

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

100151040442668 is a wasteful number, since it uses less digits than its factorization.

100151040442668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69026 (or 69024 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

Adding to 100151040442668 its reverse (866244040151001), we get a palindrome (966395080593669).

The spelling of 100151040442668 in words is "one hundred trillion, one hundred fifty-one billion, forty million, four hundred forty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 11969 17737 23938 35474 35907 39313 47876 53211 70948 71814 78626 106422 117939 143628 157252 212844 235878 471756 212294153 424588306 470537297 636882459 697294681 849176612 941074594 1273764918 1394589362 1411611891 1882149188 2091884043 2547529836 2789178724 2823223782 4183768086 5646447564 8367536172 8345920036889 16691840073778 25037760110667 33383680147556 50075520221334 100151040442668