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22012040100 = 223521512232179
BaseRepresentation
bin10100100000000001…
…010001001110100100
32002211001112111101110
4110200001101032210
5330040040240400
614040122225020
71406323153011
oct244001211644
962731474343
1022012040100
11937624a586
124323955170
1320ca4a92cb
1410cb5d6708
1588c70ae50
hex5200513a4

22012040100 has 144 divisors (see below), whose sum is σ = 64426987520. Its totient is φ = 5802192000.

The previous prime is 22012040093. The next prime is 22012040117. The reversal of 22012040100 is 104021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10100811 + ... + 10102989.

Almost surely, 222012040100 is an apocalyptic number.

22012040100 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 22012040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32213493760).

22012040100 is an abundant number, since it is smaller than the sum of its proper divisors (42414947420).

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

22012040100 is a wasteful number, since it uses less digits than its factorization.

22012040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2563 counting only the distinct ones).

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

Adding to 22012040100 its reverse (104021022), we get a palindrome (22116061122).

The spelling of 22012040100 in words is "twenty-two billion, twelve million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 223 300 302 446 453 604 669 755 892 906 1115 1338 1510 1812 2179 2230 2265 2676 3020 3345 3775 4358 4460 4530 5575 6537 6690 7550 8716 9060 10895 11150 11325 13074 13380 15100 16725 21790 22300 22650 26148 32685 33450 33673 43580 45300 54475 65370 66900 67346 101019 108950 130740 134692 163425 168365 202038 217900 326850 329029 336730 404076 485917 505095 653700 658058 673460 841825 971834 987087 1010190 1316116 1457751 1645145 1683650 1943668 1974174 2020380 2429585 2525475 2915502 3290290 3367300 3948348 4859170 4935435 5050950 5831004 6580580 7288755 8225725 9718340 9870870 10101900 12147925 14577510 16451450 19741740 24295850 24677175 29155020 32902900 36443775 48591700 49354350 72887550 73373467 98708700 145775100 146746934 220120401 293493868 366867335 440240802 733734670 880481604 1100602005 1467469340 1834336675 2201204010 3668673350 4402408020 5503010025 7337346700 11006020050 22012040100