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210110022012072 = 233713123777772209
BaseRepresentation
bin101111110001100000001101…
…001110011100110010101000
31000112221022200200200121122210
4233301200031032130302220
5210014420311113341242
62022511113412045120
762153643133441530
oct5761401516346250
91015838620617583
10210110022012072
1160a47183961476
121b6948913037a0
1390313a03504a0
1439c5544c264c0
15194569cec6d9c
hexbf180d39cca8

210110022012072 has 128 divisors (see below), whose sum is σ = 647015012985600. Its totient is φ = 55368834674688.

The previous prime is 210110022012071. The next prime is 210110022012083. The reversal of 210110022012072 is 270210220011012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (210110022012071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36184497 + ... + 41587712.

It is an arithmetic number, because the mean of its divisors is an integer number (5054804788950).

Almost surely, 2210110022012072 is an apocalyptic number.

It is an amenable number.

210110022012072 is an abundant number, since it is smaller than the sum of its proper divisors (436904990973528).

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

210110022012072 is a wasteful number, since it uses less digits than its factorization.

210110022012072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77773475 (or 77773471 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 210110022012072 its reverse (270210220011012), we get a palindrome (480320242023084).

The spelling of 210110022012072 in words is "two hundred ten trillion, one hundred ten billion, twenty-two million, twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1237 2184 2474 3711 4948 7422 8659 9896 14844 16081 17318 25977 29688 32162 34636 48243 51954 64324 69272 96486 103908 112567 128648 192972 207816 225134 337701 385944 450268 675402 900536 1350804 2701608 77772209 155544418 233316627 311088836 466633254 544405463 622177672 933266508 1011038717 1088810926 1633216389 1866533016 2022077434 2177621852 3033116151 3266432778 4044154868 4355243704 6066232302 6532865556 7077271019 8088309736 12132464604 13065731112 14154542038 21231813057 24264929208 28309084076 42463626114 56618168152 84927252228 96204222533 169854504456 192408445066 288612667599 384816890132 577225335198 673429557731 769633780264 1154450670396 1250654892929 1346859115462 2020288673193 2308901340792 2501309785858 2693718230924 3751964678787 4040577346386 5002619571716 5387436461848 7503929357574 8081154692772 8754584250503 10005239143432 15007858715148 16162309385544 17509168501006 26263752751509 30015717430296 35018337002012 52527505503018 70036674004024 105055011006036 210110022012072