Search a number
-
+
1022130120 = 23351123131257
BaseRepresentation
bin111100111011000…
…111011111001000
32122020022120221010
4330323013133020
54043131130440
6245231443520
734220651124
oct7473073710
92566276833
101022130120
11484a69540
122463865a0
131339b802b
1499a6c584
155eb03580
hex3cec77c8

1022130120 has 256 divisors, whose sum is σ = 3530926080. Its totient is φ = 234291200.

The previous prime is 1022130119. The next prime is 1022130149. The reversal of 1022130120 is 210312201.

It is a super-2 number, since 2×10221301202 = 2089499964422428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022130096 and 1022130105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3977032 + ... + 3977288.

It is an arithmetic number, because the mean of its divisors is an integer number (13792680).

Almost surely, 21022130120 is an apocalyptic number.

1022130120 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 1022130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765463040).

1022130120 is an abundant number, since it is smaller than the sum of its proper divisors (2508795960).

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

1022130120 is a wasteful number, since it uses less digits than its factorization.

1022130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1022130120 is about 31970.7697749053. The cubic root of 1022130120 is about 1007.3229501683.

Adding to 1022130120 its reverse (210312201), we get a palindrome (1232442321).

The spelling of 1022130120 in words is "one billion, twenty-two million, one hundred thirty thousand, one hundred twenty".