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128316204168102 = 2353311867427241
BaseRepresentation
bin11101001011001111110001…
…110001001011001110100110
3121211022220112220002111100000
4131023033301301023032212
5113304313041231334402
61132523352253402130
736012353105243466
oct3513176161131646
9554286486074300
10128316204168102
1137981662069005
1212484659199346
13567a220cbc182
14239877496bba6
15ec7beb64ec1c
hex74b3f1c4b3a6

128316204168102 has 96 divisors (see below), whose sum is σ = 289342036174464. Its totient is φ = 42619907246400.

The previous prime is 128316204168091. The next prime is 128316204168121. The reversal of 128316204168102 is 201861402613821.

128316204168102 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 1 + 620 + 4 + 1 + 6 + 8 + 10 + 2 = 666.

128316204168102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1283162041681022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 300123202 + ... + 300550442.

It is an arithmetic number, because the mean of its divisors is an integer number (3013979543484).

Almost surely, 2128316204168102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128316204168102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144671018087232).

128316204168102 is an abundant number, since it is smaller than the sum of its proper divisors (161025832006362).

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

128316204168102 is a wasteful number, since it uses less digits than its factorization.

128316204168102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429456 (or 429444 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 128316204168102 in words is "one hundred twenty-eight trillion, three hundred sixteen billion, two hundred four million, one hundred sixty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 331 486 662 993 1867 1986 2979 3734 5601 5958 8937 11202 16803 17874 26811 33606 50409 53622 80433 100818 151227 160866 302454 427241 453681 617977 854482 907362 1235954 1281723 1853931 2563446 3707862 3845169 5561793 7690338 11123586 11535507 16685379 23071014 33370758 34606521 50056137 69213042 100112274 103819563 141416771 150168411 207639126 282833542 300336822 424250313 797658947 848500626 1272750939 1595317894 2392976841 2545501878 3818252817 4785953682 7178930523 7636505634 11454758451 14357861046 21536791569 22909516902 34364275353 43073583138 64610374707 68728550706 129220749414 193831124121 264025111457 387662248242 528050222914 792075334371 1584150668742 2376226003113 4752452006226 7128678009339 14257356018678 21386034028017 42772068056034 64158102084051 128316204168102