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132233012131 = 11223297612153
BaseRepresentation
bin111101100100110110…
…0111010001110100011
3110122022112202000101211
41323021230322032203
54131303122342011
6140425204210551
712360600025543
oct1731154721643
9418275660354
10132233012131
11510970a7200
1221764699a57
13c6146c419c
146585c9b323
15368de01b21
hex1ec9b3a3a3

132233012131 has 48 divisors (see below), whose sum is σ = 157175484480. Its totient is φ = 110822835200.

The previous prime is 132233012077. The next prime is 132233012167. The reversal of 132233012131 is 131210332231.

It is not a de Polignac number, because 132233012131 - 27 = 132233012003 is a prime.

It is a super-2 number, since 2×1322330121312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132233012831) 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, 61416951 + ... + 61419103.

It is an arithmetic number, because the mean of its divisors is an integer number (3274489260).

Almost surely, 2132233012131 is an apocalyptic number.

132233012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132233012131 is a deficient number, since it is larger than the sum of its proper divisors (24942472349).

132233012131 is a wasteful number, since it uses less digits than its factorization.

132233012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132233012131 its reverse (131210332231), we get a palindrome (263443344362).

The spelling of 132233012131 in words is "one hundred thirty-two billion, two hundred thirty-three million, twelve thousand, one hundred thirty-one".

Divisors: 1 11 23 29 121 253 319 667 761 2153 2783 3509 7337 8371 17503 22069 23683 49519 62437 80707 92081 192533 242759 260513 507587 544709 686807 1436051 1638433 2117863 2670349 5583457 5991799 7554877 15796561 18022763 37683959 47514557 61418027 173762171 198250393 414523549 522660127 1092834811 4559759039 5749261397 12021182921 132233012131