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10301322132 = 2232286147837
BaseRepresentation
bin10011001100000000…
…11011001110010100
3222120220202101101100
421212000123032110
5132044114302012
64422105030100
7513163536063
oct114600331624
928526671340
1010301322132
114406911872
121bb5a85330
13c8225bcaa
146da19c1da
1540457d8dc
hex26601b394

10301322132 has 18 divisors (see below), whose sum is σ = 26039453258. Its totient is φ = 3433774032.

The previous prime is 10301322127. The next prime is 10301322137. The reversal of 10301322132 is 23122310301.

10301322132 is a `hidden beast` number, since 10 + 301 + 322 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (10301322127) and next prime (10301322137).

It can be written as a sum of positive squares in only one way, i.e., 5411956356 + 4889365776 = 73566^2 + 69924^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×103013221322 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301322137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143073883 + ... + 143073954.

Almost surely, 210301322132 is an apocalyptic number.

10301322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10301322132 is an abundant number, since it is smaller than the sum of its proper divisors (15738131126).

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

10301322132 is a wasteful number, since it uses less digits than its factorization.

10301322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286147847 (or 286147842 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10301322132 its reverse (23122310301), we get a palindrome (33423632433).

The spelling of 10301322132 in words is "ten billion, three hundred one million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 286147837 572295674 858443511 1144591348 1716887022 2575330533 3433774044 5150661066 10301322132