Search a number
-
+
111949798921 = 5325921072
BaseRepresentation
bin110100001000010111…
…0100101111000001001
3101200221222022000122221
41220100232211320021
53313233122031141
6123232400414041
711042135406262
oct1502056457011
9350858260587
10111949798921
1143528819984
1219843917321
13a73144848c
1455c0131969
152da3390bd1
hex1a10ba5e09

111949798921 has 27 divisors (see below), whose sum is σ = 117163513831. Its totient is φ = 106966764944.

The previous prime is 111949798871. The next prime is 111949798931. The reversal of 111949798921 is 129897949111.

The square root of 111949798921 is 334589.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80704287225 + 31245511696 = 284085^2 + 176764^2 .

It is not a de Polignac number, because 111949798921 - 233 = 103359864329 is a prime.

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 111949798921.

It is not an unprimeable number, because it can be changed into a prime (111949798931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1046259750 + ... + 1046259856.

Almost surely, 2111949798921 is an apocalyptic number.

111949798921 is the 334589-th square number.

111949798921 is the 167295-th centered octagonal number.

It is an amenable number.

111949798921 is a deficient number, since it is larger than the sum of its proper divisors (5213714910).

111949798921 is an frugal number, since it uses more digits than its factorization.

111949798921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 61.

The spelling of 111949798921 in words is "one hundred eleven billion, nine hundred forty-nine million, seven hundred ninety-eight thousand, nine hundred twenty-one".

Divisors: 1 53 59 107 2809 3127 3481 5671 6313 11449 165731 184493 300563 334589 372467 606797 675491 9778129 17733217 19740751 32160241 35801023 39853969 1046259803 1897454219 2112260357 111949798921