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101311002 = 232131922787
BaseRepresentation
bin1100000100111…
…10001000011010
321001122010120100
412002132020122
5201413423002
614015240230
72340062232
oct602361032
9231563510
10101311002
1152207501
1229b19076
1317cb2450
14d652cc2
158d6311c
hex609e21a

101311002 has 48 divisors (see below), whose sum is σ = 248844960. Its totient is φ = 29530656.

The previous prime is 101310997. The next prime is 101311003. The reversal of 101311002 is 200113101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101311003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6948 + ... + 15839.

It is an arithmetic number, because the mean of its divisors is an integer number (5184270).

Almost surely, 2101311002 is an apocalyptic number.

101311002 is an abundant number, since it is smaller than the sum of its proper divisors (147533958).

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

101311002 is a wasteful number, since it uses less digits than its factorization.

101311002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22827 (or 22824 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101311002 is about 10065.3366560687. The cubic root of 101311002 is about 466.1784607540.

Adding to 101311002 its reverse (200113101), we get a palindrome (301424103).

The spelling of 101311002 in words is "one hundred one million, three hundred eleven thousand, two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 22787 45574 68361 136722 205083 296231 410166 432953 592462 865906 888693 1298859 1777386 2597718 2666079 3896577 5332158 5628389 7793154 11256778 16885167 33770334 50655501 101311002