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102100002198 = 23314911117973
BaseRepresentation
bin101111100010110100…
…0100110010110010110
3100202112112011111200220
41133011220212112112
53133100100032243
6114523141215210
710243063461615
oct1370550462626
9322475144626
10102100002198
113a333875907
1217955101506
1398218cb5ac
144d27d0b87c
1529c87a2783
hex17c5a26596

102100002198 has 32 divisors (see below), whose sum is σ = 211216591872. Its totient is φ = 32868376800.

The previous prime is 102100002181. The next prime is 102100002217. The reversal of 102100002198 is 891200001201.

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 15 ways as a sum of consecutive naturals, for example, 467661 + ... + 650312.

It is an arithmetic number, because the mean of its divisors is an integer number (6600518496).

Almost surely, 2102100002198 is an apocalyptic number.

102100002198 is an abundant number, since it is smaller than the sum of its proper divisors (109116589674).

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

102100002198 is a wasteful number, since it uses less digits than its factorization.

102100002198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118500.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 102100002198 its reverse (891200001201), we get a palindrome (993300003399).

The spelling of 102100002198 in words is "one hundred two billion, one hundred million, two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 31 62 93 186 491 982 1473 2946 15221 30442 45663 91326 1117973 2235946 3353919 6707838 34657163 69314326 103971489 207942978 548924743 1097849486 1646774229 3293548458 17016667033 34033334066 51050001099 102100002198