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212436316130640 = 24357630120068273
BaseRepresentation
bin110000010011010110101111…
…001010010000110101010000
31000212011201021010111010010020
4300103112233022100311100
5210321024033412140030
62031451521340303440
762514005644260120
oct6023265712206520
91025151233433106
10212436316130640
1161763810285a58
121b9ab6b8541b80
13916c8740a58a4
143a65d889d0c80
151985e51c63510
hexc135af290d50

212436316130640 has 160 divisors (see below), whose sum is σ = 752751003876096. Its totient is φ = 48549163622400.

The previous prime is 212436316130611. The next prime is 212436316130681. The reversal of 212436316130640 is 46031613634212.

It is a super-2 number, since 2×2124363161306402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 212436316130592 and 212436316130601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551544 + ... + 20619816.

Almost surely, 2212436316130640 is an apocalyptic number.

212436316130640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212436316130640 is an abundant number, since it is smaller than the sum of its proper divisors (540314687745456).

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

212436316130640 is a wasteful number, since it uses less digits than its factorization.

212436316130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20074597 (or 20074591 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 212436316130640 its reverse (46031613634212), we get a palindrome (258467929764852).

The spelling of 212436316130640 in words is "two hundred twelve trillion, four hundred thirty-six billion, three hundred sixteen million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6301 12602 18903 25204 31505 37806 44107 50408 63010 75612 88214 94515 100816 126020 132321 151224 176428 189030 220535 252040 264642 302448 352856 378060 441070 504080 529284 661605 705712 756120 882140 1058568 1323210 1512240 1764280 2117136 2646420 3528560 5292840 10585680 20068273 40136546 60204819 80273092 100341365 120409638 140477911 160546184 200682730 240819276 280955822 301024095 321092368 401365460 421433733 481638552 561911644 602048190 702389555 802730920 842867466 963277104 1123823288 1204096380 1404779110 1605461840 1685734932 2107168665 2247646576 2408192760 2809558220 3371469864 4214337330 4816385520 5619116440 6742939728 8428674660 11238232880 16857349320 33714698640 126450188173 252900376346 379350564519 505800752692 632250940865 758701129038 885151317211 1011601505384 1264501881730 1517402258076 1770302634422 1896752822595 2023203010768 2529003763460 2655453951633 3034804516152 3540605268844 3793505645190 4425756586055 5058007526920 5310907903266 6069609032304 7081210537688 7587011290380 8851513172110 10116015053840 10621815806532 13277269758165 14162421075376 15174022580760 17703026344220 21243631613064 26554539516330 30348045161520 35406052688440 42487263226128 53109079032660 70812105376880 106218158065320 212436316130640