Search a number
-
+
120368131 = 13233761
BaseRepresentation
bin1110010110010…
…10110000000011
322101111100000221
413023022300003
5221303240011
615535523511
72661053332
oct713126003
9271440027
10120368131
1161a433a4
1234389597
131bc25660
1411db3d19
15a879971
hex72cac03

120368131 has 16 divisors (see below), whose sum is σ = 135696960. Its totient is φ = 106138560.

The previous prime is 120368123. The next prime is 120368147. The reversal of 120368131 is 131863021.

It is not a de Polignac number, because 120368131 - 23 = 120368123 is a prime.

It is a super-2 number, since 2×1203681312 = 28976973920866322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120368096 and 120368105.

It is not an unprimeable number, because it can be changed into a prime (120368231) 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, 157791 + ... + 158551.

It is an arithmetic number, because the mean of its divisors is an integer number (8481060).

Almost surely, 2120368131 is an apocalyptic number.

120368131 is a deficient number, since it is larger than the sum of its proper divisors (15328829).

120368131 is an frugal number, since it uses more digits than its factorization.

120368131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 120368131 is about 10971.2410874978. The cubic root of 120368131 is about 493.7462828113.

The spelling of 120368131 in words is "one hundred twenty million, three hundred sixty-eight thousand, one hundred thirty-one".

Divisors: 1 13 23 299 529 761 6877 9893 12167 17503 158171 227539 402569 5233397 9259087 120368131