Search a number
-
+
103431220020 = 22325574617889
BaseRepresentation
bin110000001010011111…
…0110010101100110100
3100212222022002101020200
41200110332302230310
53143311343020040
6115303214000500
710321056602262
oct1402476625464
9325868071220
10103431220020
113a957255527
1218066aa6130
1399a464694b
145012a37432
152a555ac630
hex1814fb2b34

103431220020 has 36 divisors (see below), whose sum is σ = 313741367940. Its totient is φ = 27581658624.

The previous prime is 103431220019. The next prime is 103431220049. The reversal of 103431220020 is 20022134301.

103431220020 is a `hidden beast` number, since 10 + 3 + 431 + 2 + 200 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25714046736 + 77717173284 = 160356^2 + 278778^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103431219975 and 103431220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287308765 + ... + 287309124.

Almost surely, 2103431220020 is an apocalyptic number.

103431220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103431220020 is an abundant number, since it is smaller than the sum of its proper divisors (210310147920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103431220020 is a wasteful number, since it uses less digits than its factorization.

103431220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574617904 (or 574617899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103431220020 its reverse (20022134301), we get a palindrome (123453354321).

The spelling of 103431220020 in words is "one hundred three billion, four hundred thirty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 574617889 1149235778 1723853667 2298471556 2873089445 3447707334 5171561001 5746178890 6895414668 8619268335 10343122002 11492357780 17238536670 20686244004 25857805005 34477073340 51715610010 103431220020