Search a number
-
+
103021331232 = 2531956480993
BaseRepresentation
bin101111111110010001…
…1001100001100100000
3100211220201210212112110
41133330203030030200
53141441430044412
6115154412355320
710304651603241
oct1377443141440
9324821725473
10103021331232
113a766945a66
1217b71775b40
13993a7522c1
144db441acc8
152a2e5e3d3c
hex17fc8cc320

103021331232 has 48 divisors (see below), whose sum is σ = 284664209760. Its totient is φ = 32533051392.

The previous prime is 103021331209. The next prime is 103021331269. The reversal of 103021331232 is 232133120301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1030213312322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103021331199 and 103021331208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28238673 + ... + 28242320.

It is an arithmetic number, because the mean of its divisors is an integer number (5930504370).

Almost surely, 2103021331232 is an apocalyptic number.

103021331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103021331232 is an abundant number, since it is smaller than the sum of its proper divisors (181642878528).

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

103021331232 is a wasteful number, since it uses less digits than its factorization.

103021331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56481025 (or 56481017 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103021331232 its reverse (232133120301), we get a palindrome (335154451533).

The spelling of 103021331232 in words is "one hundred three billion, twenty-one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 56480993 112961986 169442979 225923972 338885958 451847944 677771916 903695888 1073138867 1355543832 1807391776 2146277734 2711087664 3219416601 4292555468 5422175328 6438833202 8585110936 12877666404 17170221872 25755332808 34340443744 51510665616 103021331232