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10300608913368 = 23359179130131237
BaseRepresentation
bin1001010111100100110000…
…1000101001111111011000
31100110201200010221021200110
42111321030020221333120
52322231121340211433
633524011233204320
72112123456061404
oct225711410517730
940421603837613
1010300608913368
113311511216a04
1211a43b11006a0
13599460183aa7
142787a3098104
1512ce20cd0963
hex95e4c229fd8

10300608913368 has 128 divisors (see below), whose sum is σ = 26355375648000. Its totient is φ = 3353796825600.

The previous prime is 10300608913337. The next prime is 10300608913391. The reversal of 10300608913368 is 86331980600301.

It is a happy number.

10300608913368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103006089133682 (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 329741046 + ... + 329772282.

It is an arithmetic number, because the mean of its divisors is an integer number (205901372250).

Almost surely, 210300608913368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300608913368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177687824000).

10300608913368 is an abundant number, since it is smaller than the sum of its proper divisors (16054766734632).

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

10300608913368 is a wasteful number, since it uses less digits than its factorization.

10300608913368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32785 (or 32781 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 10300608913368 in words is "ten trillion, three hundred billion, six hundred eight million, nine hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 179 236 354 358 472 537 708 716 1074 1301 1416 1432 2148 2602 3903 4296 5204 7806 10408 10561 15612 21122 31224 31237 31683 42244 62474 63366 76759 84488 93711 124948 126732 153518 187422 230277 232879 249896 253464 307036 374844 460554 465758 614072 698637 749688 921108 931516 1397274 1842216 1842983 1863032 2794548 3685966 5528949 5589096 5591423 7371932 11057898 11182846 13739861 14743864 16774269 22115796 22365692 27479722 33548538 40639337 41219583 44231592 44731384 54959444 67097076 81278674 82439166 109918888 121918011 134194152 162557348 164878332 243836022 325114696 329756664 329893957 487672044 659787914 975344088 989681871 1319575828 1979363742 2397720883 2639151656 3958727484 4795441766 7193162649 7274441323 7917454968 9590883532 14386325298 14548882646 19181767064 21823323969 28772650596 29097765292 43646647938 57545301192 58195530584 87293295876 174586591752 429192038057 858384076114 1287576114171 1716768152228 2575152228342 3433536304456 5150304456684 10300608913368