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10004313220 = 22511237127847
BaseRepresentation
bin10010101000100110…
…11011010010000100
3221211012212202202021
421110103123102010
5130442101010340
64332415052524
7502626154636
oct112423332204
927735782667
1010004313220
1142741a0660
121b32511144
13c3586a785
146ac966a56
153d8460e4a
hex2544db484

10004313220 has 96 divisors (see below), whose sum is σ = 24253157376. Its totient is φ = 3430627200.

The previous prime is 10004313167. The next prime is 10004313223. The reversal of 10004313220 is 2231340001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10004313194 and 10004313203.

It is not an unprimeable number, because it can be changed into a prime (10004313223) 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, 345337 + ... + 373183.

It is an arithmetic number, because the mean of its divisors is an integer number (252637056).

Almost surely, 210004313220 is an apocalyptic number.

10004313220 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 10004313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126578688).

10004313220 is an abundant number, since it is smaller than the sum of its proper divisors (14248844156).

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

10004313220 is a wasteful number, since it uses less digits than its factorization.

10004313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27961 (or 27959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10004313220 its reverse (2231340001), we get a palindrome (12235653221).

The spelling of 10004313220 in words is "ten billion, four million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 71 92 110 115 142 220 230 253 284 355 460 506 710 781 1012 1265 1420 1562 1633 2530 3124 3266 3905 5060 6532 7810 8165 15620 16330 17963 27847 32660 35926 55694 71852 89815 111388 139235 179630 278470 306317 359260 556940 612634 640481 1225268 1280962 1531585 1977137 2561924 3063170 3202405 3954274 6126340 6404810 7045291 7908548 9885685 12809620 14090582 19771370 21748507 28181164 35226455 39542740 43497014 45474151 70452910 86994028 90948302 108742535 140905820 181896604 217485070 227370755 434970140 454741510 500215661 909483020 1000431322 2000862644 2501078305 5002156610 10004313220