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21131312837492 = 221113219929160997
BaseRepresentation
bin1001100111000000001000…
…11001010011001101110100
32202211010121112011020020102
410303200010121103031310
510232203412041244432
6112535331402253232
74310454426333554
oct463400431231564
982733545136212
1021131312837492
116807815228320
122453481ab7218
13ba389c435300
14530a92273164
15269a19839962
hex133804653374

21131312837492 has 144 divisors (see below), whose sum is σ = 46032419361600. Its totient is φ = 8390544814080.

The previous prime is 21131312837471. The next prime is 21131312837507. The reversal of 21131312837492 is 29473821313112.

It is a congruent number.

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, 131172338 + ... + 131333334.

It is an arithmetic number, because the mean of its divisors is an integer number (319669578900).

Almost surely, 221131312837492 is an apocalyptic number.

21131312837492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21131312837492 is an abundant number, since it is smaller than the sum of its proper divisors (24901106524108).

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

21131312837492 is a wasteful number, since it uses less digits than its factorization.

21131312837492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161986 (or 161971 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The spelling of 21131312837492 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred twelve million, eight hundred thirty-seven thousand, four hundred ninety-two".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 143 169 209 247 286 338 418 494 572 676 836 929 988 1858 1859 2717 3211 3716 3718 5434 6422 7436 10219 10868 12077 12844 17651 20438 24154 35302 35321 40876 48308 70604 70642 132847 141284 157001 160997 194161 229463 265694 314002 321994 388322 458926 531388 628004 643988 776644 917852 1727011 1770967 2092961 2524093 2983019 3058943 3454022 3541934 4185922 5048186 5966038 6117886 6908044 7083868 8371844 10096372 11932076 12235772 23022571 27208493 32813209 33648373 39766259 46045142 54416986 65626418 67296746 79532518 92090284 108833972 131252836 134593492 149566213 159065036 299132426 299293423 437428849 516961367 598264852 598586846 874857698 1033922734 1197173692 1645228343 1749715396 1944360769 2067845468 2841758047 3290456686 3888721538 5683516094 5686575037 6580913372 7777443076 11367032188 11373150074 21387968459 22746300148 25276689997 31259338517 36942854611 42775936918 50553379994 62518677034 73885709222 85551873836 101106759988 125037354068 147771418444 278043589967 406371400721 480257109943 556087179934 812742801442 960514219886 1112174359868 1625485602884 1921028439772 5282828209373 10565656418746 21131312837492