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132022123431 = 31141591653853
BaseRepresentation
bin111101011110100100…
…0011011101110100111
3110121202211220202111020
41322331020123232213
54130340130422211
6140352232142223
712352426350642
oct1727510335647
9417684822436
10132022123431
1150a99057420
1221705b37973
13c5acac6983
146565c82a59
15367a646306
hex1ebd21bba7

132022123431 has 32 divisors (see below), whose sum is σ = 200050179840. Its totient is φ = 76738732800.

The previous prime is 132022123423. The next prime is 132022123459. The reversal of 132022123431 is 134321220231.

It is not a de Polignac number, because 132022123431 - 23 = 132022123423 is a prime.

It is a super-2 number, since 2×1320221234312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022123421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747100 + ... + 906753.

It is an arithmetic number, because the mean of its divisors is an integer number (6251568120).

Almost surely, 2132022123431 is an apocalyptic number.

132022123431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132022123431 is a deficient number, since it is larger than the sum of its proper divisors (68028056409).

132022123431 is a wasteful number, since it uses less digits than its factorization.

132022123431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653967.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132022123431 its reverse (134321220231), we get a palindrome (266343343662).

The spelling of 132022123431 in words is "one hundred thirty-two billion, twenty-two million, one hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 33 41 59 123 177 451 649 1353 1947 2419 7257 26609 79827 1653853 4961559 18192383 54577149 67807973 97577327 203423919 292731981 745887703 1073350597 2237663109 3220051791 4000670407 12002011221 44007374477 132022123431