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10313323020 = 2232572111321737
BaseRepresentation
bin10011001101011100…
…01101001000001100
3222121202100002111200
421212232031020030
5132110202314040
64423214145500
7513400541100
oct114656151014
928552302450
1010313323020
114412669260
121bb9ab2290
13c848a1500
146dba03900
1540564e630
hex266b8d20c

10313323020 has 1296 divisors, whose sum is σ = 46747235808. Its totient is φ = 1811496960.

The previous prime is 10313323019. The next prime is 10313323043. The reversal of 10313323020 is 2032331301.

Added to its reverse (2032331301) it gives a square (12345654321 = 1111112).

10313323020 is a `hidden beast` number, since 1 + 0 + 31 + 332 + 302 + 0 = 666.

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 = 10313322984 and 10313323002.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 278738442 + ... + 278738478.

It is an arithmetic number, because the mean of its divisors is an integer number (36070398).

Almost surely, 210313323020 is an apocalyptic number.

10313323020 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 10313323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373617904).

10313323020 is an abundant number, since it is smaller than the sum of its proper divisors (36433912788).

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

10313323020 is a wasteful number, since it uses less digits than its factorization.

10313323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

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

Adding to 10313323020 its reverse (2032331301), we get a palindrome (12345654321).

It can be divided in two parts, 10313 and 323020, that added together give a palindrome (333333).

The spelling of 10313323020 in words is "ten billion, three hundred thirteen million, three hundred twenty-three thousand, twenty".