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22012000120 = 23511312815743
BaseRepresentation
bin10100100000000001…
…000111011101111000
32002211001110110112201
4110200001013131320
5330040033000440
614040121315544
71406322625315
oct244001073570
962731413481
1022012000120
119376222540
124323935bb4
1320ca494056
1410cb5c5d0c
1588c6ee19a
hex520047778

22012000120 has 128 divisors (see below), whose sum is σ = 55980564480. Its totient is φ = 7717248000.

The previous prime is 22012000111. The next prime is 22012000133. The reversal of 22012000120 is 2100021022.

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 = 22012000097 and 22012000106.

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, 3829969 + ... + 3835711.

It is an arithmetic number, because the mean of its divisors is an integer number (437348160).

Almost surely, 222012000120 is an apocalyptic number.

22012000120 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 22012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27990282240).

22012000120 is an abundant number, since it is smaller than the sum of its proper divisors (33968564360).

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

22012000120 is a wasteful number, since it uses less digits than its factorization.

22012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077 (or 6073 counting only the distinct ones).

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

Adding to 22012000120 its reverse (2100021022), we get a palindrome (24112021142).

The spelling of 22012000120 in words is "twenty-two billion, twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 281 310 341 440 562 620 682 1124 1240 1364 1405 1705 2248 2728 2810 3091 3410 5620 5743 6182 6820 8711 11240 11486 12364 13640 15455 17422 22972 24728 28715 30910 34844 43555 45944 57430 61820 63173 69688 87110 95821 114860 123640 126346 174220 178033 191642 229720 252692 315865 348440 356066 383284 479105 505384 631730 712132 766568 890165 958210 1263460 1424264 1613783 1780330 1916420 1958363 2526920 3227566 3560660 3832840 3916726 6455132 7121320 7833452 8068915 9791815 12910264 15666904 16137830 17751613 19583630 32275660 35503226 39167260 50027273 64551320 71006452 78334520 88758065 100054546 142012904 177516130 200109092 250136365 355032260 400218184 500272730 550300003 710064520 1000545460 1100600006 2001090920 2201200012 2751500015 4402400024 5503000030 11006000060 22012000120