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10323313020 = 2232537101103149
BaseRepresentation
bin10011001110101000…
…10100000101111100
3222122110010122012200
421213110110011330
5132120232004040
64424212231500
7513551466336
oct114724240574
928573118180
1010323313020
114418271959
12200130b590
13c8698b657
146dd084456
15406474630
hex26751417c

10323313020 has 288 divisors, whose sum is σ = 33014217600. Its totient is φ = 2608588800.

The previous prime is 10323313003. The next prime is 10323313097. The reversal of 10323313020 is 2031332301.

10323313020 is a `hidden beast` number, since 1 + 0 + 32 + 331 + 302 + 0 = 666.

It is a super-3 number, since 3×103233130203 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10323312984 and 10323313002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69283906 + ... + 69284054.

It is an arithmetic number, because the mean of its divisors is an integer number (114632700).

Almost surely, 210323313020 is an apocalyptic number.

10323313020 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 10323313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507108800).

10323313020 is an abundant number, since it is smaller than the sum of its proper divisors (22690904580).

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

10323313020 is a wasteful number, since it uses less digits than its factorization.

10323313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10323313020 its reverse (2031332301), we get a palindrome (12354645321).

The spelling of 10323313020 in words is "ten billion, three hundred twenty-three million, three hundred thirteen thousand, twenty".