Search a number
-
+
131403020232339 = 32193149150485429
BaseRepresentation
bin11101111000001010100110…
…010101111110011010010011
3122020021000011102002210010200
4131320022212111332122103
5114210401341134413324
61143245414130430243
736451361224001562
oct3570124625763223
9566230142083120
10131403020232339
11389617872847a9
12128a2951732383
135842336b0868b
142463d23959bd9
15102d162946ec9
hex7782a657e693

131403020232339 has 48 divisors (see below), whose sum is σ = 206659078579200. Its totient is φ = 80150665492800.

The previous prime is 131403020232331. The next prime is 131403020232389. The reversal of 131403020232339 is 933232020304131.

131403020232339 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 30 + 20 + 232 + 339 = 666.

It is not a de Polignac number, because 131403020232339 - 23 = 131403020232331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131403020232331) 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, 22639924 + ... + 27845505.

It is an arithmetic number, because the mean of its divisors is an integer number (4305397470400).

Almost surely, 2131403020232339 is an apocalyptic number.

131403020232339 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

131403020232339 is a deficient number, since it is larger than the sum of its proper divisors (75256058346861).

131403020232339 is a wasteful number, since it uses less digits than its factorization.

131403020232339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50485976 (or 50485973 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 131403020232339 in words is "one hundred thirty-one trillion, four hundred three billion, twenty million, two hundred thirty-two thousand, three hundred thirty-nine".

Divisors: 1 3 9 19 31 57 93 171 279 491 589 1473 1767 4419 5301 9329 15221 27987 45663 83961 136989 289199 867597 2602791 50485429 151456287 454368861 959223151 1565048299 2877669453 4695144897 8633008359 14085434691 24788345639 29735917681 74365036917 89207753043 223095110751 267623259129 470978567141 768438714809 1412935701423 2305316144427 4238807104269 6915948433281 14600335581371 43801006744113 131403020232339