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104321756070 = 232572199118873
BaseRepresentation
bin110000100101000001…
…1111010101110100110
3100222021100210022001100
41201022003322232212
53202122332143240
6115531425140530
710352122203300
oct1411203725646
9328240708040
10104321756070
1140273a03434
121827518a746
139ab6ca875c
14509900c970
152aa8869e30
hex184a0faba6

104321756070 has 144 divisors (see below), whose sum is σ = 317108282400. Its totient is φ = 23724949248.

The previous prime is 104321756051. The next prime is 104321756089. The reversal of 104321756070 is 70657123401.

It is a happy number.

104321756070 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 21 + 7 + 560 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (104321756051) and next prime (104321756089).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 818154 + ... + 937026.

It is an arithmetic number, because the mean of its divisors is an integer number (2202140850).

Almost surely, 2104321756070 is an apocalyptic number.

104321756070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104321756070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158554141200).

104321756070 is an abundant number, since it is smaller than the sum of its proper divisors (212786526330).

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

104321756070 is a wasteful number, since it uses less digits than its factorization.

104321756070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119099 (or 119089 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 104321756070 its reverse (70657123401), we get a palindrome (174978879471).

The spelling of 104321756070 in words is "one hundred four billion, three hundred twenty-one million, seven hundred fifty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 199 210 245 294 315 398 441 490 597 630 735 882 995 1194 1393 1470 1791 1990 2205 2786 2985 3582 4179 4410 5970 6965 8358 8955 9751 12537 13930 17910 19502 20895 25074 29253 41790 48755 58506 62685 87759 97510 118873 125370 146265 175518 237746 292530 356619 438795 594365 713238 832111 877590 1069857 1188730 1664222 1783095 2139714 2496333 3566190 4160555 4992666 5349285 5824777 7488999 8321110 10698570 11649554 12481665 14977998 17474331 23655727 24963330 29123885 34948662 37444995 47311454 52422993 58247770 70967181 74889990 87371655 104845986 118278635 141934362 165590089 174743310 212901543 236557270 262114965 331180178 354835905 425803086 496770267 524229930 709671810 827950445 993540534 1064507715 1159130623 1490310801 1655900890 2129015430 2318261246 2483851335 2980621602 3477391869 4967702670 5795653115 6954783738 7451554005 10432175607 11591306230 14903108010 17386959345 20864351214 34773918690 52160878035 104321756070