Search a number
-
+
132000373000231 = 1747234043705883
BaseRepresentation
bin11110000000110110111011…
…010101111100100000100111
3122022101010000221201111212021
4132000312323111330200213
5114300143230442001411
61144424044553404011
736542466203520001
oct3600667325744047
9568333027644767
10132000373000231
113907205335266a
121297a681a09607
135886774196648
142484bd03c5371
15103d9751a4a71
hex780dbb57c827

132000373000231 has 16 divisors (see below), whose sum is σ = 142739638470144. Its totient is φ = 121591641792384.

The previous prime is 132000373000211. The next prime is 132000373000273.

132000373000231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132000373000231 is a prime.

It is a super-2 number, since 2×1320003730002312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132000373000196 and 132000373000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000373000211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186647416 + ... + 187353298.

It is an arithmetic number, because the mean of its divisors is an integer number (8921227404384).

Almost surely, 2132000373000231 is an apocalyptic number.

132000373000231 is a deficient number, since it is larger than the sum of its proper divisors (10739265469913).

132000373000231 is a wasteful number, since it uses less digits than its factorization.

132000373000231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939990.

The product of its (nonzero) digits is 2268, while the sum is 25.

The spelling of 132000373000231 in words is "one hundred thirty-two trillion, three hundred seventy-three million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 17 47 799 234043 705883 3978731 11000021 12000011 33176501 187000357 564000517 165206974969 2808518574473 7764727823543 132000373000231