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10320231402 = 23213214922769
BaseRepresentation
bin10011001110010001…
…00011101111101010
3222122020100002000200
421213020203233222
5132113434401102
64424022213030
7513513343125
oct114710435752
928566302020
1010320231402
114416557668
122000284176
13c8614cb00
146dc8c13bc
1540606651c
hex267223bea

10320231402 has 72 divisors (see below), whose sum is σ = 24376423500. Its totient is φ = 3154005504.

The previous prime is 10320231379. The next prime is 10320231407. The reversal of 10320231402 is 20413202301.

10320231402 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 231 + 402 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 245893761 + 10074337641 = 15681^2 + 100371^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10320231407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441874 + ... + 464642.

Almost surely, 210320231402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320231402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188211750).

10320231402 is an abundant number, since it is smaller than the sum of its proper divisors (14056192098).

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

10320231402 is a wasteful number, since it uses less digits than its factorization.

10320231402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22952 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10320231402 its reverse (20413202301), we get a palindrome (30733433703).

The spelling of 10320231402 in words is "ten billion, three hundred twenty million, two hundred thirty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 169 234 298 338 447 507 894 1014 1341 1521 1937 2682 3042 3874 5811 11622 17433 22769 25181 34866 45538 50362 68307 75543 136614 151086 204921 226629 295997 409842 453258 591994 887991 1775982 2663973 3392581 3847961 5327946 6785162 7695922 10177743 11543883 20355486 23087766 30533229 34631649 44103553 61066458 69263298 88207106 132310659 264621318 396931977 573346189 793863954 1146692378 1720038567 3440077134 5160115701 10320231402