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1010013420 = 2235133779443
BaseRepresentation
bin111100001100111…
…001010011101100
32121101111222221110
4330030321103230
54032030412140
6244120032020
734012654353
oct7414712354
92541458843
101010013420
11479143039
12242302610
13131334ba0
14981d699a
155da0d380
hex3c3394ec

1010013420 has 192 divisors, whose sum is σ = 3174635520. Its totient is φ = 238298112.

The previous prime is 1010013413. The next prime is 1010013443. The reversal of 1010013420 is 243100101.

It is a happy number.

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 = 1010013396 and 1010013405.

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, 2279719 + ... + 2280161.

It is an arithmetic number, because the mean of its divisors is an integer number (16534560).

Almost surely, 21010013420 is an apocalyptic number.

1010013420 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 1010013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587317760).

1010013420 is an abundant number, since it is smaller than the sum of its proper divisors (2164622100).

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

1010013420 is a wasteful number, since it uses less digits than its factorization.

1010013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

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

The square root of 1010013420 is about 31780.7082992183. The cubic root of 1010013420 is about 1003.3267272798.

Adding to 1010013420 its reverse (243100101), we get a palindrome (1253113521).

The spelling of 1010013420 in words is "one billion, ten million, thirteen thousand, four hundred twenty".