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220122000020 = 2251323277132887
BaseRepresentation
bin1100110100000001001…
…0110010101010010100
3210001011200101012022102
43031000102302222110
512101302213000040
6245042254221232
721621554062046
oct3150022625224
9701150335272
10220122000020
118539814868a
12367b24b4818
13179b0071170
14a922683a96
155ad4c8d515
hex33404b2a94

220122000020 has 96 divisors (see below), whose sum is σ = 521337696768. Its totient is φ = 77460844032.

The previous prime is 220121999983. The next prime is 220122000053. The reversal of 220122000020 is 20000221022.

It is a junction number, because it is equal to n+sod(n) for n = 220121999965 and 220122000010.

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, 1590017 + ... + 1722903.

It is an arithmetic number, because the mean of its divisors is an integer number (5430601008).

Almost surely, 2220122000020 is an apocalyptic number.

220122000020 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 220122000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260668848384).

220122000020 is an abundant number, since it is smaller than the sum of its proper divisors (301215696748).

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

220122000020 is a wasteful number, since it uses less digits than its factorization.

220122000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133209 (or 133207 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220122000020 its reverse (20000221022), we get a palindrome (240122221042).

The spelling of 220122000020 in words is "two hundred twenty billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 277 299 460 554 598 1108 1196 1385 1495 2770 2990 3601 5540 5980 6371 7202 12742 14404 18005 25484 31855 36010 63710 72020 82823 127420 132887 165646 265774 331292 414115 531548 664435 828230 1328870 1656460 1727531 2657740 3056401 3455062 6112802 6910124 8637655 12225604 15282005 17275310 30564010 34550620 36809699 39733213 61128020 73619398 79466426 147238796 158932852 184048495 198666065 368096990 397332130 478526087 736193980 794664260 846623077 957052174 1693246154 1914104348 2392630435 3386492308 4233115385 4785260870 8466230770 9570521740 11006100001 16932461540 22012200002 44024400004 55030500005 110061000010 220122000020