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210002010112122 = 23471512100932369
BaseRepresentation
bin101111101111111011100111…
…001101110000000001111010
31000112112222220011020120211220
4233233323213031300001322
5210011133104042041442
62022345331442132510
762143100402441244
oct5757734715600172
91015488804216756
10210002010112122
1160a05396a70358
121b677968351136
1390241489c2357
1439c0219ac1094
15194297a6e0eec
hexbefee737007a

210002010112122 has 96 divisors (see below), whose sum is σ = 432241053753600. Its totient is φ = 67988025907200.

The previous prime is 210002010112121. The next prime is 210002010112123. The reversal of 210002010112122 is 221211010200012.

It is an interprime number because it is at equal distance from previous prime (210002010112121) and next prime (210002010112123).

It is a super-2 number, since 2×2100020101121222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210002010112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6487734754 + ... + 6487767122.

It is an arithmetic number, because the mean of its divisors is an integer number (4502510976600).

Almost surely, 2210002010112122 is an apocalyptic number.

210002010112122 is an abundant number, since it is smaller than the sum of its proper divisors (222239043641478).

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

210002010112122 is a wasteful number, since it uses less digits than its factorization.

210002010112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33732 (or 33581 counting only the distinct ones).

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

Adding to 210002010112122 its reverse (221211010200012), we get a palindrome (431213020312134).

The spelling of 210002010112122 in words is "two hundred ten trillion, two billion, ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 47 94 141 151 282 302 453 906 1009 2018 3027 6054 7097 14194 21291 22801 32369 42582 45602 47423 64738 68403 94846 97107 136806 142269 152359 194214 284538 304718 457077 914154 1071647 1521343 2143294 3042686 3214941 4564029 4887719 6429882 7160873 9128058 9775438 14321746 14663157 21482619 23006209 29326314 32660321 42965238 46012418 65320642 69018627 97980963 138037254 195961926 229722793 459445586 689168379 738045569 1081291823 1378336758 1476091138 1535035087 2162583646 2214136707 3070070174 3243875469 4428273414 4605105261 4931708471 6487750938 9210210522 9863416942 14795125413 29590250826 34688141743 69376283486 104064425229 208128850458 231790298137 463580596274 695370894411 744687979121 1390741788822 1489375958242 2234063937363 4468127874726 35000335018687 70000670037374 105001005056061 210002010112122