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101230002 = 23217378941
BaseRepresentation
bin1100000100010…
…10010110110010
321001111000110100
412002022112302
5201403330002
614013413230
72336304126
oct602122662
9231430410
10101230002
1152161665
1229a9a216
1317c84613
14d631586
158d4911c
hex608a5b2

101230002 has 48 divisors (see below), whose sum is σ = 238536792. Its totient is φ = 30896640.

The previous prime is 101230001. The next prime is 101230021. The reversal of 101230002 is 200032101.

101230002 = T223 + T224 + ... + T851.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100821681 + 408321 = 10041^2 + 639^2 .

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 (101230001) 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, 6852 + ... + 15792.

Almost surely, 2101230002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101230002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119268396).

101230002 is an abundant number, since it is smaller than the sum of its proper divisors (137306790).

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

101230002 is a wasteful number, since it uses less digits than its factorization.

101230002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101230002 is about 10061.3121410679. The cubic root of 101230002 is about 466.0541882254.

Adding to 101230002 its reverse (200032101), we get a palindrome (301262103).

The spelling of 101230002 in words is "one hundred one million, two hundred thirty thousand, two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 8941 11322 17882 26823 53646 80469 151997 160938 303994 330817 455991 661634 911982 992451 1367973 1984902 2735946 2977353 5623889 5954706 11247778 16871667 33743334 50615001 101230002