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10021320120 = 23357112910567
BaseRepresentation
bin10010101010101000…
…10011010110111000
3221212101212210211110
421111110103112320
5131010424220440
64334223400320
7503223546510
oct112524232670
927771783743
1010021320120
114282857149
121b381530a0
13c39243726
146b0d12840
153d9bc0080
hex2555135b8

10021320120 has 128 divisors (see below), whose sum is σ = 34392499200. Its totient is φ = 2288342016.

The previous prime is 10021320109. The next prime is 10021320131. The reversal of 10021320120 is 2102312001.

It is an interprime number because it is at equal distance from previous prime (10021320109) and next prime (10021320131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10021320096 and 10021320105.

It is a congruent number.

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, 943077 + ... + 953643.

It is an arithmetic number, because the mean of its divisors is an integer number (268691400).

Almost surely, 210021320120 is an apocalyptic number.

10021320120 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 10021320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196249600).

10021320120 is an abundant number, since it is smaller than the sum of its proper divisors (24371179080).

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

10021320120 is a wasteful number, since it uses less digits than its factorization.

10021320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11713 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10021320120 its reverse (2102312001), we get a palindrome (12123632121).

The spelling of 10021320120 in words is "ten billion, twenty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1129 2258 3387 4516 5645 6774 7903 9032 10567 11290 13548 15806 16935 21134 22580 23709 27096 31612 31701 33870 39515 42268 45160 47418 52835 63224 63402 67740 73969 79030 84536 94836 105670 118545 126804 135480 147938 158060 158505 189672 211340 221907 237090 253608 295876 316120 317010 369845 422680 443814 474180 591752 634020 739690 887628 948360 1109535 1268040 1479380 1775256 2219070 2958760 4438140 8876280 11930143 23860286 35790429 47720572 59650715 71580858 83511001 95441144 119301430 143161716 167022002 178952145 238602860 250533003 286323432 334044004 357904290 417555005 477205720 501066006 668088008 715808580 835110010 1002132012 1252665015 1431617160 1670220020 2004264024 2505330030 3340440040 5010660060 10021320120