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10301323032 = 233271113373863
BaseRepresentation
bin10011001100000000…
…11011011100011000
3222120220202102121200
421212000123130120
5132044114314112
64422105034200
7513163541520
oct114600333430
928526672550
1010301323032
114406912510
121bb5a85960
13c8225c520
146da19c680
1540457dcdc
hex26601b718

10301323032 has 384 divisors, whose sum is σ = 38481730560. Its totient is φ = 2402472960.

The previous prime is 10301323013. The next prime is 10301323051. The reversal of 10301323032 is 23032310301.

10301323032 is a `hidden beast` number, since 10 + 301 + 323 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (10301323013) and next prime (10301323051).

It is a super-2 number, since 2×103013230322 (a number of 21 digits) contains 22 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 = 10301322996 and 10301323014.

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, 2664733 + ... + 2668595.

It is an arithmetic number, because the mean of its divisors is an integer number (100212840).

Almost surely, 210301323032 is an apocalyptic number.

10301323032 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 10301323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240865280).

10301323032 is an abundant number, since it is smaller than the sum of its proper divisors (28180407528).

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

10301323032 is a wasteful number, since it uses less digits than its factorization.

10301323032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3936 counting only the distinct ones).

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

Adding to 10301323032 its reverse (23032310301), we get a palindrome (33333633333).

It can be divided in two parts, 10301 and 323032, that added together give a palindrome (333333).

The spelling of 10301323032 in words is "ten billion, three hundred one million, three hundred twenty-three thousand, thirty-two".