Search a number
-
+
101102222130 = 235713376714939
BaseRepresentation
bin101111000101000101…
…0010111101100110010
3100122221222200000202120
41132022022113230302
53124024132102010
6114240135255110
710206256465050
oct1361212275462
9318858600676
10101102222130
1139971628988
1217716b1a496
1396c2c8a9a0
144c715bb1d0
15296adade70
hex178a297b32

101102222130 has 256 divisors, whose sum is σ = 311310397440. Its totient is φ = 20443788288.

The previous prime is 101102222119. The next prime is 101102222149. The reversal of 101102222130 is 31222201101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6760201 + ... + 6775139.

It is an arithmetic number, because the mean of its divisors is an integer number (1216056240).

Almost surely, 2101102222130 is an apocalyptic number.

101102222130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155655198720).

101102222130 is an abundant number, since it is smaller than the sum of its proper divisors (210208175310).

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

101102222130 is a wasteful number, since it uses less digits than its factorization.

101102222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101102222130 its reverse (31222201101), we get a palindrome (132324423231).

The spelling of 101102222130 in words is "one hundred one billion, one hundred two million, two hundred twenty-two thousand, one hundred thirty".