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34200560212126 = 2731154120274133
BaseRepresentation
bin1111100011010111100000…
…01111100001100010011110
311111002112121211210212110221
413301223300033201202132
513440320221403242001
6200423304230351554
710126623523153000
oct761536017414236
9144075554725427
1034200560212126
11a9964156a6550
123a0436a4bb5ba
1316111396315c9
1486345cd58370
153e497d4b71a1
hex1f1af03e189e

34200560212126 has 128 divisors (see below), whose sum is σ = 65433507609600. Its totient is φ = 13290485443200.

The previous prime is 34200560212099. The next prime is 34200560212139. The reversal of 34200560212126 is 62121206500243.

It is a super-2 number, since 2×342005602121262 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34200560212091 and 34200560212100.

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, 8274994356 + ... + 8274998488.

It is an arithmetic number, because the mean of its divisors is an integer number (511199278200).

Almost surely, 234200560212126 is an apocalyptic number.

34200560212126 is a deficient number, since it is larger than the sum of its proper divisors (31232947397474).

34200560212126 is a wasteful number, since it uses less digits than its factorization.

34200560212126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 34200560212126 its reverse (62121206500243), we get a palindrome (96321766712369).

The spelling of 34200560212126 in words is "thirty-four trillion, two hundred billion, five hundred sixty million, two hundred twelve thousand, one hundred twenty-six".

Divisors: 1 2 7 11 14 22 49 77 98 154 343 539 541 686 1078 1082 2027 3773 3787 4054 4133 5951 7546 7574 8266 11902 14189 22297 26509 28378 28931 41657 44594 45463 53018 57862 83314 90926 99323 156079 185563 198646 202517 291599 312158 318241 371126 405034 583198 636482 695261 1092553 1096607 1390522 1417619 2041193 2185106 2193214 2227687 2235953 2835238 4082386 4455374 4471906 7647871 7676249 8377591 12062677 15295742 15352498 15593809 15651671 16755182 24125354 24595483 31187618 31303342 49190966 53733743 58643137 84438739 92153501 107467486 109561697 117286274 168877478 172168381 184307002 219123394 344336762 376136201 410501959 591071173 645074507 752272402 766931879 821003918 1182142346 1205178667 1290149014 1533863758 2410357334 2873513713 4137498211 4515521549 4532276731 5747027426 8274996422 8436250669 9031043098 9064553462 16872501338 31608650843 31725937117 49855044041 63217301686 63451874234 99710088082 222081559819 348985308287 444163119638 697970616574 1554570918733 2442897158009 3109141837466 4885794316018 17100280106063 34200560212126