Search a number
-
+
101012222220 = 2235713371074673
BaseRepresentation
bin101111000010011001…
…1000011000100001100
3100122201201022120002120
41132010303003010030
53123333112102340
6114223202252540
710204114502460
oct1360463030414
9318651276076
10101012222220
1139925847698
12176b0957150
1396aa438ac0
144c636704a0
1529630324d0
hex1784cc310c

101012222220 has 384 divisors, whose sum is σ = 360930318336. Its totient is φ = 20538261504.

The previous prime is 101012222219. The next prime is 101012222249. The reversal of 101012222220 is 22222210101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101012222220.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21613804 + ... + 21618476.

It is an arithmetic number, because the mean of its divisors is an integer number (939922704).

Almost surely, 2101012222220 is an apocalyptic number.

101012222220 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 101012222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180465159168).

101012222220 is an abundant number, since it is smaller than the sum of its proper divisors (259918096116).

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

101012222220 is a wasteful number, since it uses less digits than its factorization.

101012222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101012222220 its reverse (22222210101), we get a palindrome (123234432321).

The spelling of 101012222220 in words is "one hundred one billion, twelve million, two hundred twenty-two thousand, two hundred twenty".