Search a number
-
+
101231220040 = 2353768399473
BaseRepresentation
bin101111001000111011…
…0011101010101001000
3100200021222101210121221
41132101312131111020
53124310143020130
6114301024211424
710212414113206
oct1362166352510
9320258353557
10101231220040
1139a28425a25
1217752169b74
139713915302
144c8479a076
15297739087a
hex1791d9d548

101231220040 has 32 divisors (see below), whose sum is σ = 233926201080. Its totient is φ = 39398095872.

The previous prime is 101231220023. The next prime is 101231220047. The reversal of 101231220040 is 40022132101.

It can be written as a sum of positive squares in 4 ways, for example, as 67530337956 + 33700882084 = 259866^2 + 183578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101231219996 and 101231220023.

It is not an unprimeable number, because it can be changed into a prime (101231220047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34198257 + ... + 34201216.

Almost surely, 2101231220040 is an apocalyptic number.

101231220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101231220040 is an abundant number, since it is smaller than the sum of its proper divisors (132694981040).

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

101231220040 is a wasteful number, since it uses less digits than its factorization.

101231220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68399521 (or 68399517 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101231220040 its reverse (40022132101), we get a palindrome (141253352141).

The spelling of 101231220040 in words is "one hundred one billion, two hundred thirty-one million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 68399473 136798946 273597892 341997365 547195784 683994730 1367989460 2530780501 2735978920 5061561002 10123122004 12653902505 20246244008 25307805010 50615610020 101231220040