Search a number
-
+
211232100131024 = 24731349237173523
BaseRepresentation
bin110000000001110101001110…
…010010110010000011010000
31000200220120222020122000220212
4300001311032102302003100
5210141311320113143044
62025130404232223252
762331005233205030
oct6001651622620320
91020816866560825
10211232100131024
116133a037794a65
121b836242b3ab28
1390b31421cc86b
143a2398c5a78c0
151964971d87a9e
hexc01d4e4b20d0

211232100131024 has 160 divisors (see below), whose sum is σ = 484410462412800. Its totient is φ = 87318726796800.

The previous prime is 211232100130999. The next prime is 211232100131033. The reversal of 211232100131024 is 420131001232112.

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, 2872970327 + ... + 2873043849.

It is an arithmetic number, because the mean of its divisors is an integer number (3027565390080).

Almost surely, 2211232100131024 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 211232100131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242205231206400).

211232100131024 is an abundant number, since it is smaller than the sum of its proper divisors (273178362281776).

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

211232100131024 is a wasteful number, since it uses less digits than its factorization.

211232100131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76289 (or 76283 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211232100131024 its reverse (420131001232112), we get a palindrome (631363101363136).

The spelling of 211232100131024 in words is "two hundred eleven trillion, two hundred thirty-two billion, one hundred million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 349 434 496 698 868 1396 1736 2371 2443 2792 3472 4742 4886 5584 9484 9772 10819 16597 18968 19544 21638 33194 37936 39088 43276 66388 73501 73523 75733 86552 132776 147002 147046 151466 173104 265552 294004 294092 302932 514507 514661 588008 588184 605864 827479 1029014 1029322 1176016 1176368 1211728 1654958 2058028 2058644 2279213 3309916 4116056 4117288 4558426 5792353 6619832 8232112 8234576 9116852 11584706 13239664 15954491 18233704 23169412 25651849 25659527 31908982 36467408 46338824 51303698 51319054 63817964 92677648 102607396 102638108 127635928 174323033 179562943 179616689 205214792 205276216 255271856 348646066 359125886 359233378 410429584 410552432 697292132 718251772 718466756 795445337 1220261231 1394584264 1436503544 1436933512 1590890674 2440522462 2789168528 2873007088 2873867024 3181781348 4881044924 5404014023 5568117359 6363562696 9762089848 10808028046 11136234718 12727125392 19524179696 21616056092 22272469436 37828098161 43232112184 44544938872 60838738517 75656196322 86464224368 89089877744 121677477034 151312392644 243354954068 302624785288 425871169619 486709908136 605249570576 851742339238 973419816272 1703484678476 1886000894027 3406969356952 3772001788054 6813938713904 7544003576108 13202006258189 15088007152216 26404012516378 30176014304432 52808025032756 105616050065512 211232100131024