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132101120431 = 7171971822901
BaseRepresentation
bin111101100000111010…
…1110010000110101111
3110121222100120020000001
41323001311302012233
54131020341323211
6140404133245131
712354405665620
oct1730165620657
9417870506001
10132101120431
1151029702aa5
12217284937a7
13c5c3295667
146572567a47
15368254cac1
hex1ec1d721af

132101120431 has 32 divisors (see below), whose sum is σ = 170636958720. Its totient is φ = 99537984000.

The previous prime is 132101120429. The next prime is 132101120453. The reversal of 132101120431 is 134021101231.

It is not a de Polignac number, because 132101120431 - 21 = 132101120429 is a prime.

It is a super-2 number, since 2×1321011204312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 132101120399 and 132101120408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101120531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250920 + ... + 571981.

It is an arithmetic number, because the mean of its divisors is an integer number (5332404960).

Almost surely, 2132101120431 is an apocalyptic number.

132101120431 is a deficient number, since it is larger than the sum of its proper divisors (38535838289).

132101120431 is a wasteful number, since it uses less digits than its factorization.

132101120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823015.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 132101120431 its reverse (134021101231), we get a palindrome (266122221662).

The spelling of 132101120431 in words is "one hundred thirty-two billion, one hundred one million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 17 19 71 119 133 323 497 1207 1349 2261 8449 9443 22933 160531 822901 5760307 13989317 15635119 58425971 97925219 109445833 265797023 408981797 993241507 1110093449 1860579161 6952690549 7770654143 18871588633 132101120431