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1012113432 = 23321119103653
BaseRepresentation
bin111100010100111…
…010000000011000
32121112110200121200
4330110322000120
54033100112212
6244233034200
734036552011
oct7424720030
92545420550
101012113432
1147a347890
12242b55960
131318bb9b5
14985c2008
155dcc56dc
hex3c53a018

1012113432 has 192 divisors, whose sum is σ = 3183148800. Its totient is φ = 287297280.

The previous prime is 1012113409. The next prime is 1012113437. The reversal of 1012113432 is 2343112101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012113437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549618 + ... + 1550270.

It is an arithmetic number, because the mean of its divisors is an integer number (16578900).

Almost surely, 21012113432 is an apocalyptic number.

1012113432 is a gapful number since it is divisible by the number (12) 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 1012113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591574400).

1012113432 is an abundant number, since it is smaller than the sum of its proper divisors (2171035368).

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

1012113432 is a wasteful number, since it uses less digits than its factorization.

1012113432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1012113432 is about 31813.7302434028. The cubic root of 1012113432 is about 1004.0216155936.

Adding to 1012113432 its reverse (2343112101), we get a palindrome (3355225533).

The spelling of 1012113432 in words is "one billion, twelve million, one hundred thirteen thousand, four hundred thirty-two".