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2132132131233 = 3213241246713859
BaseRepresentation
bin11111000001101100111…
…110100111000110100001
321112211101221202120210100
4133001230332213012201
5234413101311144413
64311253223053013
7310020136042326
oct37015476470641
97484357676710
102132132131233
11752261004745
122a527a8a1169
131260a0096b00
14752a51aab4d
153a6dd103a73
hex1f06cfa71a1

2132132131233 has 72 divisors (see below), whose sum is σ = 3417843068640. Its totient is φ = 1279468120320.

The previous prime is 2132132131219. The next prime is 2132132131249. The reversal of 2132132131233 is 3321312312312.

2132132131233 is a `hidden beast` number, since 2 + 1 + 3 + 21 + 321 + 312 + 3 + 3 = 666.

It is not a de Polignac number, because 2132132131233 - 26 = 2132132131169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2132132131197 and 2132132131206.

It is not an unprimeable number, because it can be changed into a prime (2132132131033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153837658 + ... + 153851516.

It is an arithmetic number, because the mean of its divisors is an integer number (47470042620).

Almost surely, 22132132131233 is an apocalyptic number.

It is an amenable number.

2132132131233 is a deficient number, since it is larger than the sum of its proper divisors (1285710937407).

2132132131233 is a wasteful number, since it uses less digits than its factorization.

2132132131233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16399 (or 16383 counting only the distinct ones).

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

Adding to 2132132131233 its reverse (3321312312312), we get a palindrome (5453444443545).

The spelling of 2132132131233 in words is "two trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 41 117 123 169 369 507 533 1521 1599 2467 4797 6929 7401 13859 20787 22203 32071 41577 62361 96213 101147 124731 180167 288639 303441 416923 540501 568219 910323 1250769 1314911 1621503 1704657 2342171 3752307 3944733 5113971 7026513 7386847 11834199 17093843 21079539 22160541 34190153 51281529 66481623 96029011 102570459 153844587 288087033 307711377 444471989 864261099 1333415967 1401796273 4000247901 4205388819 5778135857 12616166457 17334407571 18223351549 52003222713 54670054647 164010163941 236903570137 710710710411 2132132131233