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220102000120 = 23531370947857
BaseRepresentation
bin1100110011111100011…
…0011111110111111000
3210001010021202002121101
43030333012133313320
512101232103000440
6245040301421144
721621222063232
oct3147706376770
9701107662541
10220102000120
1185387928442
12367a786a7b4
13179a8b8aac2
14a91db59252
155ad313c69a
hex333f19fdf8

220102000120 has 64 divisors (see below), whose sum is σ = 511353158400. Its totient is φ = 85176023040.

The previous prime is 220102000073. The next prime is 220102000123. The reversal of 220102000120 is 21000201022.

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 = 220102000097 and 220102000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220102000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4575232 + ... + 4623088.

It is an arithmetic number, because the mean of its divisors is an integer number (7989893100).

Almost surely, 2220102000120 is an apocalyptic number.

220102000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102000120 is an abundant number, since it is smaller than the sum of its proper divisors (291251158280).

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

220102000120 is a wasteful number, since it uses less digits than its factorization.

220102000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51608 (or 51604 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220102000120 its reverse (21000201022), we get a palindrome (241102201142).

The spelling of 220102000120 in words is "two hundred twenty billion, one hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 3709 7418 14836 18545 29672 37090 47857 74180 95714 114979 148360 191428 229958 239285 382856 459916 478570 574895 919832 957140 1149790 1483567 1914280 2299580 2967134 4599160 5934268 7417835 11868536 14835670 29671340 59342680 177501613 355003226 710006452 887508065 1420012904 1775016130 3550032260 5502550003 7100064520 11005100006 22010200012 27512750015 44020400024 55025500030 110051000060 220102000120