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10100000999988 = 2232833380187751
BaseRepresentation
bin1001001011111001011011…
…1110001100101000110100
31022202112212102202101210200
42102332112332030220310
52310434300223444423
633251513145320500
72061462303666234
oct222762676145064
938675772671720
1010100000999988
113244428292459
121171545a96130
1358356cc28173
1426cbb236dcc4
15127ace2c8d43
hex92f96f8ca34

10100000999988 has 36 divisors (see below), whose sum is σ = 25838155176288. Its totient is φ = 3326104746000.

The previous prime is 10100000999971. The next prime is 10100000999989. The reversal of 10100000999988 is 88999900000101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000999989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1690090888 + ... + 1690096863.

Almost surely, 210100000999988 is an apocalyptic number.

10100000999988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10100000999988 is an abundant number, since it is smaller than the sum of its proper divisors (15738154176300).

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

10100000999988 is a wasteful number, since it uses less digits than its factorization.

10100000999988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380187844 (or 3380187839 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 54.

The spelling of 10100000999988 in words is "ten trillion, one hundred billion, nine hundred ninety-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 3380187751 6760375502 10140563253 13520751004 20281126506 30421689759 40562253012 60843379518 121686759036 280555583333 561111166666 841666749999 1122222333332 1683333499998 2525000249997 3366666999996 5050000499994 10100000999988