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10033031320 = 23513193672767
BaseRepresentation
bin10010101100000001…
…11110100010011000
3221220012220210120121
421112000332202120
5131021424000240
64335322403024
7503425234114
oct112600764230
927805823517
1010033031320
114289425a24
121b40060474
13c3b7b4130
146b26c0744
153dac3504a
hex25603e898

10033031320 has 128 divisors (see below), whose sum is σ = 25669324800. Its totient is φ = 3498702336.

The previous prime is 10033031317. The next prime is 10033031329. The reversal of 10033031320 is 2313033001.

It is a junction number, because it is equal to n+sod(n) for n = 10033031294 and 10033031303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033031329) 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, 3624577 + ... + 3627343.

It is an arithmetic number, because the mean of its divisors is an integer number (200541600).

Almost surely, 210033031320 is an apocalyptic number.

10033031320 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 10033031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834662400).

10033031320 is an abundant number, since it is smaller than the sum of its proper divisors (15636293480).

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

10033031320 is a wasteful number, since it uses less digits than its factorization.

10033031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10033031320 its reverse (2313033001), we get a palindrome (12346064321).

The spelling of 10033031320 in words is "ten billion, thirty-three million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 367 380 494 520 734 760 988 1235 1468 1835 1976 2470 2767 2936 3670 4771 4940 5534 6973 7340 9542 9880 11068 13835 13946 14680 19084 22136 23855 27670 27892 34865 35971 38168 47710 52573 55340 55784 69730 71942 90649 95420 105146 110680 139460 143884 179855 181298 190840 210292 262865 278920 287768 359710 362596 420584 453245 525730 683449 719420 725192 906490 1015489 1051460 1366898 1438840 1812980 2030978 2102920 2733796 3417245 3625960 4061956 5077445 5467592 6834490 8123912 10154890 13201357 13668980 19294291 20309780 26402714 27337960 38588582 40619560 52805428 66006785 77177164 96471455 105610856 132013570 154354328 192942910 250825783 264027140 385885820 501651566 528054280 771771640 1003303132 1254128915 2006606264 2508257830 5016515660 10033031320