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211033630126312 = 237213726314941331
BaseRepresentation
bin101111111110111100011000…
…100011110011000011101000
31000200012121200112022011101121
4233332330120203303003220
5210130033333303020222
62024455302235225024
762310451041044500
oct5776743043630350
91020177615264347
10211033630126312
1161272950630984
121b8038938a8174
13909a502b75756
143a18121796a00
15195e707dd55c7
hexbfef188f30e8

211033630126312 has 96 divisors (see below), whose sum is σ = 465412929347520. Its totient is φ = 89441431054080.

The previous prime is 211033630126289. The next prime is 211033630126327. The reversal of 211033630126312 is 213621036330112.

It is a super-2 number, since 2×2110336301263122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6653487 + ... + 21594817.

It is an arithmetic number, because the mean of its divisors is an integer number (4848051347370).

Almost surely, 2211033630126312 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 211033630126312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232706464673760).

211033630126312 is an abundant number, since it is smaller than the sum of its proper divisors (254379299221208).

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

211033630126312 is a wasteful number, since it uses less digits than its factorization.

211033630126312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941751 (or 14941740 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 211033630126312 its reverse (213621036330112), we get a palindrome (424654666456424).

The spelling of 211033630126312 in words is "two hundred eleven trillion, thirty-three billion, six hundred thirty million, one hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 263 274 392 526 548 959 1052 1096 1841 1918 2104 3682 3836 6713 7364 7672 12887 13426 14728 25774 26852 36031 51548 53704 72062 103096 144124 252217 288248 504434 1008868 1765519 2017736 3531038 7062076 14124152 14941331 29882662 59765324 104589317 119530648 209178634 418357268 732125219 836714536 1464250438 2046962347 2928500876 3929570053 4093924694 5857001752 7859140106 8187849388 14328736429 15718280212 16375698776 27506990371 28657472858 31436560424 55013980742 57314945716 100301155003 110027961484 114629891432 192548932597 200602310006 220055922968 385097865194 401204620012 538351097261 770195730388 802409240024 1076702194522 1540391460776 2153404389044 3768457680827 4306808778088 7536915361654 15073830723308 26379203765789 30147661446616 52758407531578 105516815063156 211033630126312