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22031112002100 = 22352263330184589
BaseRepresentation
bin1010000001001100001001…
…00110101101101000110100
32220000011011002000211002220
411000212010212231220310
510341424204133031400
6114504541513202340
74432460331130305
oct500460446555064
986004132024086
1022031112002100
117024384414553
12257993aa003b0
13c3a6a9403ab6
14562450ada7ac
1528312e3e47a0
hex1409849ada34

22031112002100 has 144 divisors (see below), whose sum is σ = 64005861279360. Its totient is φ = 5850782784000.

The previous prime is 22031112002099. The next prime is 22031112002111. The reversal of 22031112002100 is 120021113022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22031112002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260406606 + ... + 260491194.

Almost surely, 222031112002100 is an apocalyptic number.

22031112002100 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 22031112002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32002930639680).

22031112002100 is an abundant number, since it is smaller than the sum of its proper divisors (41974749277260).

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

22031112002100 is a wasteful number, since it uses less digits than its factorization.

22031112002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88170 (or 88163 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22031112002100 its reverse (120021113022), we get a palindrome (22151133115122).

The spelling of 22031112002100 in words is "twenty-two trillion, thirty-one billion, one hundred twelve million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 2630 3156 3301 3945 5260 6575 6602 7890 9903 13150 13204 15780 16505 19725 19806 26300 33010 39450 39612 49515 66020 78900 82525 84589 99030 165050 169178 198060 247575 253767 330100 338356 422945 495150 507534 845890 868163 990300 1015068 1268835 1691780 1736326 2114725 2537670 2604489 3472652 4229450 4340815 5075340 5208978 6344175 8458900 8681630 10417956 12688350 13022445 17363260 21704075 22246907 25376700 26044890 43408150 44493814 52089780 65112225 66740721 86816300 88987628 111234535 130224450 133481442 222469070 260448900 266962884 279228289 333703605 444938140 556172675 558456578 667407210 837684867 1112345350 1116913156 1334814420 1396141445 1668518025 1675369734 2224690700 2792282890 3337036050 3350739468 4188424335 5584565780 6674072100 6980707225 8376848670 13961414450 16753697340 20942121675 27922828900 41884243350 73437040007 83768486700 146874080014 220311120021 293748160028 367185200035 440622240042 734370400070 881244480084 1101555600105 1468740800140 1835926000175 2203111200210 3671852000350 4406222400420 5507778000525 7343704000700 11015556001050 22031112002100