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122112110130010 = 25711313100818281
BaseRepresentation
bin11011110000111101110000…
…111100100111001101011010
3121000100210200220121120110221
4123300331300330213031122
5112001141100143130020
61111413310131030254
734502210632110220
oct3360756074471532
9530323626546427
10122112110130010
11359aa500792000
121184218a73b38a
13531a1793b4880
142222387068b10
15e1b639ae46aa
hex6f0f70f2735a

122112110130010 has 128 divisors (see below), whose sum is σ = 297557497133568. Its totient is φ = 35133154214400.

The previous prime is 122112110129957. The next prime is 122112110130011. The reversal of 122112110130010 is 10031011211221.

It is a happy number.

It is a super-2 number, since 2×1221121101300102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112110130011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49197931 + ... + 51620350.

It is an arithmetic number, because the mean of its divisors is an integer number (2324667946356).

Almost surely, 2122112110130010 is an apocalyptic number.

122112110130010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112110130010 is an abundant number, since it is smaller than the sum of its proper divisors (175445387003558).

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

122112110130010 is a wasteful number, since it uses less digits than its factorization.

122112110130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100818341 (or 100818319 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 122112110130010 its reverse (10031011211221), we get a palindrome (132143121341231).

The spelling of 122112110130010 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred ten million, one hundred thirty thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1331 1430 1573 1694 2002 2662 3146 4235 5005 6655 7865 8470 9317 10010 11011 13310 15730 17303 18634 22022 34606 46585 55055 86515 93170 110110 121121 173030 242242 605605 1211210 100818281 201636562 504091405 705727967 1008182810 1109001091 1310637653 1411455934 2218002182 2621275306 3528639835 5545005455 6553188265 7057279670 7763007637 9174463571 11090010910 12199012001 13106376530 14417014183 15526015274 18348927142 24398024002 28834028366 38815038185 45872317855 60995060005 72085070915 77630076370 85393084007 91744635710 100919099281 121990120010 134189132011 144170141830 158587156013 170786168014 201838198562 268378264022 317174312026 426965420035 504595496405 670945660055 792935780065 853930840070 939323924077 1009190992810 1110110092091 1341891320110 1585871560130 1744458716143 1878647848154 2220220184182 3488917432286 4696619620385 5550550460455 8722293580715 9393239240770 11101100920910 12211211013001 17444587161430 24422422026002 61056055065005 122112110130010