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100102000116 = 22317613800483
BaseRepresentation
bin101110100111010001…
…0110100110111110100
3100120101021120111002210
41131032202310313310
53120002103000431
6113553005133420
710142422650636
oct1351642646764
9316337514083
10100102000116
11394a8a73318
1217497b5a270
1395939a3741
144bb8812a56
15290d186d46
hex174e8b4df4

100102000116 has 48 divisors (see below), whose sum is σ = 247714576704. Its totient is φ = 31353278976.

The previous prime is 100102000111. The next prime is 100102000121. The reversal of 100102000116 is 611000201001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100102000111) and next prime (100102000121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275190 + ... + 525293.

It is an arithmetic number, because the mean of its divisors is an integer number (5160720348).

Almost surely, 2100102000116 is an apocalyptic number.

It is an amenable number.

100102000116 is an abundant number, since it is smaller than the sum of its proper divisors (147612576588).

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

100102000116 is a wasteful number, since it uses less digits than its factorization.

100102000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801120 (or 801118 counting only the distinct ones).

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

Adding to 100102000116 its reverse (611000201001), we get a palindrome (711102201117).

The spelling of 100102000116 in words is "one hundred billion, one hundred two million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 613 1226 1839 2452 3678 7356 10421 20842 31263 41684 62526 125052 800483 1600966 2401449 3201932 4802898 9605796 13608211 27216422 40824633 54432844 81649266 163298532 490696079 981392158 1472088237 1962784316 2944176474 5888352948 8341833343 16683666686 25025500029 33367333372 50051000058 100102000116