Search a number
-
+
1302331002132 = 2231499233331033
BaseRepresentation
bin10010111100111000111…
…110100000110100010100
311121111112200112122000110
4102330320332200310110
5132314133214032012
62434141013043020
7163042655604066
oct22747076406424
94544480478013
101302331002132
11462351998636
12190498026470
1395a6a005744
1447066da7736
1523d238bc73c
hex12f38fa0d14

1302331002132 has 48 divisors (see below), whose sum is σ = 3042200952000. Its totient is φ = 433620811008.

The previous prime is 1302331002131. The next prime is 1302331002169. The reversal of 1302331002132 is 2312001332031.

It is a super-2 number, since 2×13023310021322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1302331002099 and 1302331002108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302331002131) 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, 41950488 + ... + 41981520.

It is an arithmetic number, because the mean of its divisors is an integer number (63379186500).

Almost surely, 21302331002132 is an apocalyptic number.

1302331002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1302331002132 is an abundant number, since it is smaller than the sum of its proper divisors (1739869949868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1302331002132 is a wasteful number, since it uses less digits than its factorization.

1302331002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34872 (or 34870 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1302331002132 its reverse (2312001332031), we get a palindrome (3614332334163).

The spelling of 1302331002132 in words is "one trillion, three hundred two billion, three hundred thirty-one million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1499 2333 2998 4497 4666 5996 6999 8994 9332 13998 17988 27996 31033 62066 93099 124132 186198 372396 3497167 6994334 10491501 13988668 20983002 41966004 46518467 72399989 93036934 139555401 144799978 186073868 217199967 279110802 289599956 434399934 558221604 868799868 108527583511 217055167022 325582750533 434110334044 651165501066 1302331002132