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10020222120 = 23351013072693
BaseRepresentation
bin10010101010100000…
…00111010010101000
3221212022211000122210
421111100013102220
5131010134101440
64334144045120
7503211324366
oct112520072250
927768730583
1010020222120
114282177207
121b379037a0
13c38c4aa1c
146b0b08636
153d9a54a80
hex2554074a8

10020222120 has 128 divisors (see below), whose sum is σ = 30468493440. Its totient is φ = 2636006400.

The previous prime is 10020222073. The next prime is 10020222133. The reversal of 10020222120 is 2122202001.

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 = 10020222096 and 10020222105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3719494 + ... + 3722186.

It is an arithmetic number, because the mean of its divisors is an integer number (238035105).

Almost surely, 210020222120 is an apocalyptic number.

10020222120 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 10020222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234246720).

10020222120 is an abundant number, since it is smaller than the sum of its proper divisors (20448271320).

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

10020222120 is a wasteful number, since it uses less digits than its factorization.

10020222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020222120 its reverse (2122202001), we get a palindrome (12142424121).

The spelling of 10020222120 in words is "ten billion, twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 307 404 505 606 614 808 921 1010 1212 1228 1515 1535 1842 2020 2424 2456 2693 3030 3070 3684 4040 4605 5386 6060 6140 7368 8079 9210 10772 12120 12280 13465 16158 18420 21544 26930 31007 32316 36840 40395 53860 62014 64632 80790 93021 107720 124028 155035 161580 186042 248056 271993 310070 323160 372084 465105 543986 620140 744168 815979 826751 930210 1087972 1240280 1359965 1631958 1653502 1860420 2175944 2480253 2719930 3263916 3307004 3720840 4079895 4133755 4960506 5439860 6527832 6614008 8159790 8267510 9921012 10879720 12401265 16319580 16535020 19842024 24802530 32639160 33070040 49605060 83501851 99210120 167003702 250505553 334007404 417509255 501011106 668014808 835018510 1002022212 1252527765 1670037020 2004044424 2505055530 3340074040 5010111060 10020222120