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100000000116 = 223317232368097
BaseRepresentation
bin101110100100001110…
…1101110100001110100
3100120010011122100102000
41131020131232201310
53114300000000431
6113534523015300
710140043655562
oct1351035564164
9316104570360
10100000000116
11394564361a5
121746996a530
13957880c803
144ba9060a32
1529042399e6
hex174876e874

100000000116 has 96 divisors (see below), whose sum is σ = 286445134080. Its totient is φ = 30008512512.

The previous prime is 100000000103. The next prime is 100000000129. The reversal of 100000000116 is 611000000001.

It is an interprime number because it is at equal distance from previous prime (100000000103) and next prime (100000000129).

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

It is a junction number, because it is equal to n+sod(n) for n = 100000000098 and 100000000107.

It is a congruent number.

It is an unprimeable number.

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, 1141821 + ... + 1226276.

It is an arithmetic number, because the mean of its divisors is an integer number (2983803480).

Almost surely, 2100000000116 is an apocalyptic number.

It is an amenable number.

100000000116 is an abundant number, since it is smaller than the sum of its proper divisors (186445133964).

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

100000000116 is a wasteful number, since it uses less digits than its factorization.

100000000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368150 (or 2368142 counting only the distinct ones).

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

Adding to 100000000116 its reverse (611000000001), we get a palindrome (711000000117).

The spelling of 100000000116 in words is "one hundred billion, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 621 782 828 918 1173 1242 1564 1836 2346 2484 3519 4692 7038 10557 14076 21114 42228 2368097 4736194 7104291 9472388 14208582 21312873 28417164 40257649 42625746 54466231 63938619 80515298 85251492 108932462 120772947 127877238 161030596 163398693 217864924 241545894 255754476 326797386 362318841 483091788 490196079 653594772 724637682 925925927 980392158 1086956523 1449275364 1470588237 1851851854 1960784316 2173913046 2777777781 2941176474 3703703708 4347826092 5555555562 5882352948 8333333343 11111111124 16666666686 25000000029 33333333372 50000000058 100000000116