Search a number
-
+
100241222140 = 22537359377329
BaseRepresentation
bin101110101011011010…
…1111010100111111100
3100120201222112200211001
41131112311322213330
53120243223102030
6114014501140044
710146033221023
oct1352665724774
9316658480731
10100241222140
113956a613944
12175166ba624
1395b679a937
144bcd0d38ba
15291a4d7cca
hex1756d7a9fc

100241222140 has 48 divisors (see below), whose sum is σ = 216798724800. Its totient is φ = 38904026112.

The previous prime is 100241222131. The next prime is 100241222183. The reversal of 100241222140 is 41222142001.

100241222140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002412221402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76996 + ... + 454324.

It is an arithmetic number, because the mean of its divisors is an integer number (4516640100).

Almost surely, 2100241222140 is an apocalyptic number.

100241222140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100241222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108399362400).

100241222140 is an abundant number, since it is smaller than the sum of its proper divisors (116557502660).

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

100241222140 is a wasteful number, since it uses less digits than its factorization.

100241222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377734 (or 377732 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 100241222140 its reverse (41222142001), we get a palindrome (141463364141).

The spelling of 100241222140 in words is "one hundred billion, two hundred forty-one million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 359 370 718 740 1436 1795 3590 7180 13283 26566 53132 66415 132830 265660 377329 754658 1509316 1886645 3773290 7546580 13961173 27922346 55844692 69805865 135461111 139611730 270922222 279223460 541844444 677305555 1354611110 2709222220 5012061107 10024122214 20048244428 25060305535 50120611070 100241222140