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10301657080 = 23511135413329
BaseRepresentation
bin10011001100000011…
…01100111111111000
3222120221101101211211
421212001230333320
5132044211011310
64422120132504
7513166432441
oct114601547770
928527341754
1010301657080
114407020490
121bb6007134
13c823485a0
146da2482c8
154045e7c8a
hex26606cff8

10301657080 has 128 divisors (see below), whose sum is σ = 27289483200. Its totient is φ = 3450470400.

The previous prime is 10301657077. The next prime is 10301657081. The reversal of 10301657080 is 8075610301.

It is a super-2 number, since 2×103016570802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301657081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3092856 + ... + 3096184.

Almost surely, 210301657080 is an apocalyptic number.

10301657080 is a gapful number since it is divisible by the number (10) 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 10301657080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644741600).

10301657080 is an abundant number, since it is smaller than the sum of its proper divisors (16987826120).

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

10301657080 is a wasteful number, since it uses less digits than its factorization.

10301657080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 10301657080 in words is "ten billion, three hundred one million, six hundred fifty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 541 572 715 1082 1144 1430 2164 2705 2860 3329 4328 5410 5720 5951 6658 7033 10820 11902 13316 14066 16645 21640 23804 26632 28132 29755 33290 35165 36619 43277 47608 56264 59510 66580 70330 73238 77363 86554 119020 133160 140660 146476 154726 173108 183095 216385 238040 281320 292952 309452 346216 366190 386815 432770 476047 618904 732380 773630 865540 952094 1464760 1547260 1731080 1800989 1904188 2380235 3094520 3601978 3808376 4760470 7203956 9004945 9520940 14407912 18009890 19041880 19810879 23412857 36019780 39621758 46825714 72039560 79243516 93651428 99054395 117064285 158487032 187302856 198108790 234128570 257541427 396217580 468257140 515082854 792435160 936514280 1030165708 1287707135 2060331416 2575414270 5150828540 10301657080