Search a number
-
+
102106632630 = 23523193766739
BaseRepresentation
bin101111100011000000…
…1111001000110110110
3100202112222122100221110
41133012001321012312
53133103244221010
6114523535255450
710243204025412
oct1370601710666
9322488570843
10102106632630
113a337594402
121795737a586
1398230b0522
144d28b55d42
1529c9162120
hex17c60791b6

102106632630 has 64 divisors (see below), whose sum is σ = 257035783680. Its totient is φ = 25909610496.

The previous prime is 102106632629. The next prime is 102106632631. The reversal of 102106632630 is 36236601201.

It is an interprime number because it is at equal distance from previous prime (102106632629) and next prime (102106632631).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102106632631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250200 + ... + 516539.

It is an arithmetic number, because the mean of its divisors is an integer number (4016184120).

Almost surely, 2102106632630 is an apocalyptic number.

102106632630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102106632630 is an abundant number, since it is smaller than the sum of its proper divisors (154929151050).

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

102106632630 is a wasteful number, since it uses less digits than its factorization.

102106632630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766965.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 102106632630 in words is "one hundred two billion, one hundred six million, six hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 193 230 345 386 579 690 965 1158 1930 2895 4439 5790 8878 13317 22195 26634 44390 66585 133170 766739 1533478 2300217 3833695 4600434 7667390 11501085 17634997 23002170 35269994 52904991 88174985 105809982 147980627 176349970 264524955 295961254 443941881 529049910 739903135 887883762 1479806270 2219709405 3403554421 4439418810 6807108842 10210663263 17017772105 20421326526 34035544210 51053316315 102106632630