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10020311020 = 2251759796323
BaseRepresentation
bin10010101010100000…
…11100111111101100
3221212022222112121101
421111100130333230
5131010144423040
64334150012444
7503212144516
oct112520347754
927768875541
1010020311020
114282227a85
121b37947124
13c38c7c325
146b0b2cbb6
153d9a7109a
hex25541cfec

10020311020 has 96 divisors (see below), whose sum is σ = 22948531200. Its totient is φ = 3660893184.

The previous prime is 10020310987. The next prime is 10020311039. The reversal of 10020311020 is 2011302001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10020310988 and 10020311006.

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, 1581579 + ... + 1587901.

It is an arithmetic number, because the mean of its divisors is an integer number (239047200).

Almost surely, 210020311020 is an apocalyptic number.

10020311020 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 10020311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474265600).

10020311020 is an abundant number, since it is smaller than the sum of its proper divisors (12928220180).

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

10020311020 is a wasteful number, since it uses less digits than its factorization.

10020311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10020311020 its reverse (2011302001), we get a palindrome (12031613021).

The spelling of 10020311020 in words is "ten billion, twenty million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 79 85 118 158 170 236 295 316 340 395 590 790 1003 1180 1343 1580 2006 2686 4012 4661 5015 5372 6323 6715 9322 10030 12646 13430 18644 20060 23305 25292 26860 31615 46610 63230 79237 93220 107491 126460 158474 214982 316948 373057 396185 429964 499517 537455 746114 792370 999034 1074910 1492228 1584740 1865285 1998068 2149820 2497585 3730570 4995170 6341969 7461140 8491789 9990340 12683938 16983578 25367876 29471503 31709845 33967156 42458945 58943006 63419690 84917890 117886012 126839380 147357515 169835780 294715030 501015551 589430060 1002031102 2004062204 2505077755 5010155510 10020311020