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42121101204 = 2232713113113783
BaseRepresentation
bin100111001110100111…
…001111111110010100
311000201111021122100100
4213032213033332110
51142231000214304
631203345214100
73020541311220
oct471647177624
9130644248310
1042121101204
1116955299846
1281b6331330
133c8364ab30
14207818b780
151167d1b439
hex9ce9cff94

42121101204 has 144 divisors (see below), whose sum is σ = 132204264192. Its totient is φ = 11010456576.

The previous prime is 42121101181. The next prime is 42121101241. The reversal of 42121101204 is 40210112124.

It is a super-2 number, since 2×421211012042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313297 + ... + 427079.

It is an arithmetic number, because the mean of its divisors is an integer number (918085168).

Almost surely, 242121101204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121101204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66102132096).

42121101204 is an abundant number, since it is smaller than the sum of its proper divisors (90083162988).

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

42121101204 is a wasteful number, since it uses less digits than its factorization.

42121101204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113926 (or 113921 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42121101204 its reverse (40210112124), we get a palindrome (82331213328).

The spelling of 42121101204 in words is "forty-two billion, one hundred twenty-one million, one hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 113 117 126 156 182 226 234 252 273 339 364 452 468 546 678 791 819 1017 1092 1356 1469 1582 1638 2034 2373 2938 3164 3276 4068 4407 4746 5876 7119 8814 9492 10283 13221 14238 17628 20566 26442 28476 30849 41132 52884 61698 92547 113783 123396 185094 227566 341349 370188 455132 682698 796481 1024047 1365396 1479179 1592962 2048094 2389443 2958358 3185924 4096188 4437537 4778886 5916716 7168329 8875074 9557772 10354253 12857479 13312611 14336658 17750148 20708506 25714958 26625222 28673316 31062759 38572437 41417012 51429916 53250444 62125518 77144874 90002353 93188277 115717311 124251036 154289748 167147227 180004706 186376554 231434622 270007059 334294454 360009412 372753108 462869244 501441681 540014118 668588908 810021177 1002883362 1080028236 1170030589 1504325043 1620042354 2005766724 2340061178 3008650086 3240084708 3510091767 4680122356 6017300172 7020183534 10530275301 14040367068 21060550602 42121101204