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202332130113132 = 2232431672293417763
BaseRepresentation
bin101110000000010100011110…
…101111011111011001101100
3222112101202121000212210112200
4232000110132233133121230
5203010002200302110012
61554154033011301500
760422004542230365
oct5600243657373154
9875352530783480
10202332130113132
115951863572aa38
121a8393a4baa890
1388b8ab81193c6
1437d6cda908b6c
15185d1ca3693dc
hexb8051ebdf66c

202332130113132 has 144 divisors (see below), whose sum is σ = 528777853443840. Its totient is φ = 65195149912704.

The previous prime is 202332130113097. The next prime is 202332130113137. The reversal of 202332130113132 is 231311031233202.

202332130113132 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 321 + 301 + 1 + 3 + 1 + 32 = 666.

It is a super-2 number, since 2×2023321301131322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202332130113096 and 202332130113105.

It is not an unprimeable number, because it can be changed into a prime (202332130113137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57491283 + ... + 60909045.

Almost surely, 2202332130113132 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 202332130113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264388926721920).

202332130113132 is an abundant number, since it is smaller than the sum of its proper divisors (326445723330708).

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

202332130113132 is a wasteful number, since it uses less digits than its factorization.

202332130113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418212 (or 3418207 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 202332130113132 its reverse (231311031233202), we get a palindrome (433643161346334).

The spelling of 202332130113132 in words is "two hundred two trillion, three hundred thirty-two billion, one hundred thirty million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 167 172 229 258 334 387 458 501 516 668 687 774 916 1002 1374 1503 1548 2004 2061 2748 3006 4122 6012 7181 8244 9847 14362 19694 21543 28724 29541 38243 39388 43086 59082 64629 76486 86172 88623 114729 118164 129258 152972 177246 229458 258516 344187 354492 458916 688374 1376748 1644449 3288898 3417763 4933347 6577796 6835526 9866694 10253289 13671052 14800041 19733388 20506578 29600082 30759867 41013156 59200164 61519734 123039468 146963809 293927618 440891427 570766421 587855236 782667727 881782854 1141532842 1322674281 1565335454 1712299263 1763565708 2283065684 2348003181 2645348562 3130670908 3424598526 4696006362 5136897789 5290697124 6849197052 7044009543 9392012724 10273795578 14088019086 20547591156 24542956103 28176038172 33654712261 49085912206 67309424522 73628868309 98171824412 100964136783 130705510409 134618849044 147257736618 201928273566 220886604927 261411020818 294515473236 302892410349 392116531227 403856547132 441773209854 522822041636 605784820698 784233062454 883546419708 1176349593681 1211569641396 1568466124908 2352699187362 4705398374724 5620336947587 11240673895174 16861010842761 22481347790348 33722021685522 50583032528283 67444043371044 101166065056566 202332130113132