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42310201122 = 235731739233
BaseRepresentation
bin100111011001111000…
…100110111100100010
311001012200002220200000
4213121320212330202
51143122402413442
631234222240430
73025325530020
oct473170467442
9131180086600
1042310201122
1116a42007372
128249726116
133cb3889987
142095333710
151179720d4c
hex9d9e26f22

42310201122 has 96 divisors (see below), whose sum is σ = 108993935232. Its totient is φ = 12050187264.

The previous prime is 42310201067. The next prime is 42310201159. The reversal of 42310201122 is 22110201324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42310201095 and 42310201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058818 + ... + 1098050.

It is an arithmetic number, because the mean of its divisors is an integer number (1135353492).

Almost surely, 242310201122 is an apocalyptic number.

42310201122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42310201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54496967616).

42310201122 is an abundant number, since it is smaller than the sum of its proper divisors (66683734110).

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

42310201122 is a wasteful number, since it uses less digits than its factorization.

42310201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39574 (or 39562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42310201122 its reverse (22110201324), we get a palindrome (64420402446).

The spelling of 42310201122 in words is "forty-two billion, three hundred ten million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 317 378 486 567 634 951 1134 1701 1902 2219 2853 3402 4438 5706 6657 8559 13314 17118 19971 25677 39233 39942 51354 59913 77031 78466 117699 119826 154062 179739 235398 274631 353097 359478 539217 549262 706194 823893 1059291 1078434 1647786 2118582 2471679 3177873 4943358 6355746 7415037 9533619 12436861 14830074 19067238 22245111 24873722 37310583 44490222 66735333 74621166 87058027 111931749 133470666 174116054 223863498 261174081 335795247 522348162 671590494 783522243 1007385741 1567044486 2014771482 2350566729 3022157223 4701133458 6044314446 7051700187 14103400374 21155100561 42310201122