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212021032210312 = 231317713559474581
BaseRepresentation
bin110000001101010011111110…
…010011110100111110001000
31000210201000100021112010222011
4300031103332103310332020
5210242223033221212222
62030533041220505304
762442004554220453
oct6015237623647610
91023630307463864
10212021032210312
1161613684340046
121b94311a84b234
13913c661160610
143a4dc30a1c49a
15197a248670c77
hexc0d4fe4f4f88

212021032210312 has 128 divisors (see below), whose sum is σ = 459817564147200. Its totient is φ = 90776751206400.

The previous prime is 212021032210283. The next prime is 212021032210313. The reversal of 212021032210312 is 213012230120212.

It is not an unprimeable number, because it can be changed into a prime (212021032210313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446516862 + ... + 446991442.

It is an arithmetic number, because the mean of its divisors is an integer number (3592324719900).

Almost surely, 2212021032210312 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 212021032210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229908782073600).

212021032210312 is an abundant number, since it is smaller than the sum of its proper divisors (247796531936888).

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

212021032210312 is a wasteful number, since it uses less digits than its factorization.

212021032210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478247 (or 478243 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212021032210312 its reverse (213012230120212), we get a palindrome (425033262330524).

The spelling of 212021032210312 in words is "two hundred twelve trillion, twenty-one billion, thirty-two million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 71 104 136 142 221 284 442 568 884 923 1207 1768 1846 2414 3559 3692 4828 7118 7384 9656 14236 15691 28472 31382 46267 60503 62764 92534 121006 125528 185068 242012 252689 370136 474581 484024 505378 786539 949162 1010756 1573078 1898324 2021512 3146156 3284957 3796648 4295713 6169553 6292312 6569914 8067877 8591426 12339106 13139828 16135754 17182852 24678212 26279656 32271508 33695251 34365704 49356424 55844269 64543016 67390502 104882401 111688538 134781004 209764802 223377076 269562008 419529604 438038263 446754152 572819267 839059208 876076526 1145638534 1689033779 1752153052 2291277068 3378067558 3504306104 4582554136 6756135116 7446650471 13512270232 14893300942 21957439127 28713574243 29786601884 43914878254 57427148486 59573203768 87829756508 114854296972 119921398309 175659513016 229708593944 239842796618 373276465159 479685593236 746552930318 959371186472 1493105860636 1558978178017 2038663771253 2986211721272 3117956356034 4077327542506 6235912712068 8154655085012 12471825424136 16309310170024 26502629026289 53005258052578 106010516105156 212021032210312