Search a number
-
+
4205311232131 = 121330389114083
BaseRepresentation
bin111101001100100000000…
…101010000100010000011
3112220000122100222221012201
4331030200011100202003
51022344434133412011
612535520542134031
7612552350454652
oct75144005204203
915800570887181
104205311232131
11138150a616109
1257b026281317
132467365a78c9
1410777697b199
15745ca862cc1
hex3d320150883

4205311232131 has 8 divisors (see below), whose sum is σ = 4208953490640. Its totient is φ = 4201669264992.

The previous prime is 4205311232123. The next prime is 4205311232137. The reversal of 4205311232131 is 1312321135024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4205311232131 - 23 = 4205311232123 is a prime.

It is a super-2 number, since 2×42053112321312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4205311232131.

It is not an unprimeable number, because it can be changed into a prime (4205311232137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36804816 + ... + 36918898.

It is an arithmetic number, because the mean of its divisors is an integer number (526119186330).

Almost surely, 24205311232131 is an apocalyptic number.

4205311232131 is a deficient number, since it is larger than the sum of its proper divisors (3642258509).

4205311232131 is a wasteful number, since it uses less digits than its factorization.

4205311232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145685.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 4205311232131 its reverse (1312321135024), we get a palindrome (5517632367155).

The spelling of 4205311232131 in words is "four trillion, two hundred five billion, three hundred eleven million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 1213 30389 114083 36861857 138382679 3466868287 4205311232131