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102001011110985 = 35719715299322319
BaseRepresentation
bin10111001100010011110110…
…000010001011010001001001
3111101011012102211202010202210
4113030103312002023101021
5101332141032321022420
61000534341223215333
730325221100015620
oct2714236602132111
9441135384663683
10102001011110985
112a55642767a678
12b5345902a7549
1344bb86700792c
141b28c37aa26b7
15bbd4314259e0
hex5cc4f608b449

102001011110985 has 64 divisors (see below), whose sum is σ = 187475751936000. Its totient is φ = 46389161747712.

The previous prime is 102001011110983. The next prime is 102001011111007. The reversal of 102001011110985 is 589011110100201.

It is not a de Polignac number, because 102001011110985 - 21 = 102001011110983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102001011110983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316298656 + ... + 316620974.

It is an arithmetic number, because the mean of its divisors is an integer number (2929308624000).

Almost surely, 2102001011110985 is an apocalyptic number.

102001011110985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102001011110985 is a deficient number, since it is larger than the sum of its proper divisors (85474740825015).

102001011110985 is a wasteful number, since it uses less digits than its factorization.

102001011110985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337830.

The product of its (nonzero) digits is 720, while the sum is 30.

The spelling of 102001011110985 in words is "one hundred two trillion, one billion, eleven million, one hundred ten thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 105 197 591 985 1379 2955 4137 6895 15299 20685 45897 76495 107093 229485 321279 322319 535465 966957 1606395 1611595 2256233 3013903 4834785 6768699 9041709 11281165 15069515 21097321 33843495 45208545 63291963 63496843 105486605 190490529 316459815 317484215 444477901 952452645 1333433703 2222389505 4931158381 6667168515 14793475143 24655791905 34518108667 73967375715 103554326001 172590543335 517771630005 971438201057 2914314603171 4857191005285 6800067407399 14571573015855 20400202222197 34000337036995 102001011110985