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210022010211120 = 24356306891387517
BaseRepresentation
bin101111110000001110001111…
…010100000100101100110000
31000112121220111222221212220020
4233300032033110010230300
5210012000034103223440
62022402440213443440
762144406125456622
oct5760161724045460
91015556458855806
10210022010211120
1160a1291a557798
121b67b80a340580
139025cb5403063
1439c1195dd0c12
15194324b47b3d0
hexbf038f504b30

210022010211120 has 80 divisors (see below), whose sum is σ = 651069733200480. Its totient is φ = 56005740224512.

The previous prime is 210022010211119. The next prime is 210022010211197. The reversal of 210022010211120 is 21112010220012.

It is a tau number, because it is divible by the number of its divisors (80).

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 210022010211120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150671602 + ... + 152059118.

It is an arithmetic number, because the mean of its divisors is an integer number (8138371665006).

Almost surely, 2210022010211120 is an apocalyptic number.

210022010211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022010211120 is an abundant number, since it is smaller than the sum of its proper divisors (441047722989360).

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

210022010211120 is a wasteful number, since it uses less digits than its factorization.

210022010211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018222 (or 2018216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210022010211120 its reverse (21112010220012), we get a palindrome (231134020431132).

The spelling of 210022010211120 in words is "two hundred ten trillion, twenty-two billion, ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 630689 1261378 1387517 1892067 2522756 2775034 3153445 3784134 4162551 5045512 5550068 6306890 6937585 7568268 8325102 9460335 10091024 11100136 12613780 13875170 15136536 16650204 18920670 20812755 22200272 25227560 27750340 30273072 33300408 37841340 41625510 50455120 55500680 66600816 75682680 83251020 111001360 151365360 166502040 333004080 875091709213 1750183418426 2625275127639 3500366836852 4375458546065 5250550255278 7000733673704 8750917092130 10501100510556 13126375638195 14001467347408 17501834184260 21002201021112 26252751276390 35003668368520 42004402042224 52505502552780 70007336737040 105011005105560 210022010211120