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210032120133231 = 31147239853664243
BaseRepresentation
bin101111110000010111101001…
…111010010111011001101111
31000112122212121120120010210220
4233300113221322113121233
5210012131240223230411
62022411231324302423
762145214506420324
oct5760275172273157
91015585546503726
10210032120133231
1160a1713831a920
121b6817700a1a13
139026c36ac92a6
1439c18749a8b4b
15194363dcedb06
hexbf05e9e9766f

210032120133231 has 64 divisors (see below), whose sum is σ = 313674509352960. Its totient is φ = 123916948928640.

The previous prime is 210032120133217. The next prime is 210032120133259. The reversal of 210032120133231 is 132331021230012.

It is not a de Polignac number, because 210032120133231 - 221 = 210032118036079 is a prime.

It is a super-2 number, since 2×2100321201332312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210032120133211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315865596 + ... + 316529838.

It is an arithmetic number, because the mean of its divisors is an integer number (4901164208640).

Almost surely, 2210032120133231 is an apocalyptic number.

210032120133231 is a deficient number, since it is larger than the sum of its proper divisors (103642389219729).

210032120133231 is a wasteful number, since it uses less digits than its factorization.

210032120133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665396.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 210032120133231 its reverse (132331021230012), we get a palindrome (342363141363243).

The spelling of 210032120133231 in words is "two hundred ten trillion, thirty-two billion, one hundred twenty million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 33 47 141 239 517 717 853 1551 2559 2629 7887 9383 11233 28149 33699 40091 120273 123563 203867 370689 441001 611601 664243 1323003 1992729 2242537 6727611 7306673 9581749 21920019 28745247 31219421 93658263 105399239 158754077 316197717 343413631 476262231 566599279 1030240893 1699797837 1746294847 5238884541 6232592069 7461441619 18697776207 22384324857 26630166113 79890498339 82075857809 135417227681 246227573427 292931827243 406251683043 878795481729 1489589504491 4468768513473 6364609701007 19093829103021 70010706711077 210032120133231