Search a number
-
+
153813121 = 7112386851
BaseRepresentation
bin10010010101100…
…00000010000001
3101201102111221021
421022300002001
5303334004441
623132425441
73545250520
oct1112600201
9351374837
10153813121
1179907090
1243618281
1325b356a7
14165dc4b7
15d7843d1
hex92b0081

153813121 has 16 divisors (see below), whose sum is σ = 200107008. Its totient is φ = 114642000.

The previous prime is 153813119. The next prime is 153813133. The reversal of 153813121 is 121318351.

It is not a de Polignac number, because 153813121 - 21 = 153813119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153813421) 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, 41655 + ... + 45196.

It is an arithmetic number, because the mean of its divisors is an integer number (12506688).

Almost surely, 2153813121 is an apocalyptic number.

153813121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153813121 is a deficient number, since it is larger than the sum of its proper divisors (46293887).

153813121 is a wasteful number, since it uses less digits than its factorization.

153813121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86892.

The product of its digits is 720, while the sum is 25.

The square root of 153813121 is about 12402.1417908360. The cubic root of 153813121 is about 535.7939369499.

The spelling of 153813121 in words is "one hundred fifty-three million, eight hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 7 11 23 77 161 253 1771 86851 607957 955361 1997573 6687527 13983011 21973303 153813121