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42031121022 = 23311974191741
BaseRepresentation
bin100111001001010000…
…000000001001111110
311000111012222011202000
4213021100000021332
51142034431333042
631150412443130
73015366430302
oct471120001176
9130435864660
1042031121022
1116909521360
1281901794a6
133c6ab04c17
14206a247d02
15115ee9574c
hex9c940027e

42031121022 has 128 divisors (see below), whose sum is σ = 103249036800. Its totient is φ = 12568089600.

The previous prime is 42031120969. The next prime is 42031121039. The reversal of 42031121022 is 22012113024.

It is a happy number.

42031121022 is a `hidden beast` number, since 420 + 3 + 11 + 210 + 22 = 666.

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 = 42031120986 and 42031121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24141072 + ... + 24142812.

It is an arithmetic number, because the mean of its divisors is an integer number (806633100).

Almost surely, 242031121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42031121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51624518400).

42031121022 is an abundant number, since it is smaller than the sum of its proper divisors (61217915778).

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

42031121022 is a wasteful number, since it uses less digits than its factorization.

42031121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2273 counting only the distinct ones).

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

Adding to 42031121022 its reverse (22012113024), we get a palindrome (64043234046).

The spelling of 42031121022 in words is "forty-two billion, thirty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 419 582 594 838 873 1067 1257 1741 1746 2134 2514 2619 3201 3482 3771 4609 5223 5238 6402 7542 9218 9603 10446 11313 13827 15669 19151 19206 22626 27654 28809 31338 38302 40643 41481 47007 57453 57618 81286 82962 94014 114906 121929 124443 168877 172359 243858 248886 337754 344718 365787 447073 506631 517077 729479 731574 894146 1013262 1034154 1097361 1341219 1458958 1519893 1857647 2188437 2194722 2682438 3039786 3715294 4023657 4376874 4559679 5572941 6565311 8024269 8047314 9119358 11145882 12070971 13130622 16048538 16718823 19695933 24072807 24141942 33437646 39391866 48145614 50156469 70759463 72218421 100312938 141518926 144436842 212278389 216655263 424556778 433310526 636835167 778354093 1273670334 1556708186 1910505501 2335062279 3821011002 4670124558 7005186837 14010373674 21015560511 42031121022