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22101220120 = 2357737913687
BaseRepresentation
bin10100100101010101…
…011101101100011000
32010001021100022101011
4110211111131230120
5330230403020440
614053025503304
71411455162040
oct244525355430
963037308334
1022101220120
119411620881
1243497a1b34
132112b01c55
1410d93ac720
158954749ea
hex52555db18

22101220120 has 128 divisors (see below), whose sum is σ = 58343731200. Its totient is φ = 7378615296.

The previous prime is 22101220111. The next prime is 22101220129. The reversal of 22101220120 is 2102210122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22101220111) and next prime (22101220129).

It is a self number, because there is not a number n which added to its sum of digits gives 22101220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607917 + ... + 1621603.

It is an arithmetic number, because the mean of its divisors is an integer number (455810400).

Almost surely, 222101220120 is an apocalyptic number.

22101220120 is a gapful number since it is divisible by the number (20) 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 22101220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29171865600).

22101220120 is an abundant number, since it is smaller than the sum of its proper divisors (36242511080).

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

22101220120 is a wasteful number, since it uses less digits than its factorization.

22101220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13857 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22101220120 its reverse (2102210122), we get a palindrome (24203430242).

The spelling of 22101220120 in words is "twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 79 140 146 158 280 292 316 365 395 511 553 584 632 730 790 1022 1106 1460 1580 2044 2212 2555 2765 2920 3160 4088 4424 5110 5530 5767 10220 11060 11534 13687 20440 22120 23068 27374 28835 40369 46136 54748 57670 68435 80738 95809 109496 115340 136870 161476 191618 201845 230680 273740 322952 383236 403690 479045 547480 766472 807380 958090 999151 1081273 1614760 1916180 1998302 2162546 3832360 3996604 4325092 4995755 5406365 6994057 7568911 7993208 8650184 9991510 10812730 13988114 15137822 19983020 21625460 27976228 30275644 34970285 37844555 39966040 43250920 55952456 60551288 69940570 75689110 78932929 139881140 151378220 157865858 279762280 302756440 315731716 394664645 552530503 631463432 789329290 1105061006 1578658580 2210122012 2762652515 3157317160 4420244024 5525305030 11050610060 22101220120