Search a number
-
+
31403133130413 = 31137117121963443
BaseRepresentation
bin1110010001111100111001…
…00110000101011010101101
311010012002222100020001220010
413020332130212011122231
513104002104040133123
6150442222235443433
76420541625251242
oct710763446053255
9133162870201803
1031403133130413
11a007aa2a79620
1236321798b6579
13146a3c21a0c35
147a7cc3b355c9
15396d03028993
hex1c8f9c9856ad

31403133130413 has 32 divisors (see below), whose sum is σ = 46951869215232. Its totient is φ = 18502003540800.

The previous prime is 31403133130387. The next prime is 31403133130417.

31403133130413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31403133130413 - 25 = 31403133130381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31403133130417) 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, 9551931 + ... + 12411512.

It is an arithmetic number, because the mean of its divisors is an integer number (1467245912976).

Almost surely, 231403133130413 is an apocalyptic number.

31403133130413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31403133130413 is a deficient number, since it is larger than the sum of its proper divisors (15548736084819).

31403133130413 is a wasteful number, since it uses less digits than its factorization.

31403133130413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21964665.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3140313 and 3130413, that added together give a palindrome (6270726).

The spelling of 31403133130413 in words is "thirty-one trillion, four hundred three billion, one hundred thirty-three million, one hundred thirty thousand, four hundred thirteen".

Divisors: 1 3 11 33 37 111 407 1171 1221 3513 12881 38643 43327 129981 476597 1429791 21963443 65890329 241597873 724793619 812647391 2437942173 8939121301 25719191753 26817363903 77157575259 282911109283 848733327849 951610094861 2854830284583 10467711043471 31403133130413