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10010011111002 = 23271271847338683
BaseRepresentation
bin1001000110101010001100…
…1010000000111001011010
31022102221120212220101101100
42101222203022000321122
52303001000321023002
633142311405532230
72052125256363660
oct221524312007132
938387525811340
1010010011111002
11320a249347981
121158010574076
13577c2b236146
142686b6944c30
151255b3c9811c
hex91aa3280e5a

10010011111002 has 96 divisors (see below), whose sum is σ = 24995464445952. Its totient is φ = 2835938824992.

The previous prime is 10010011110973. The next prime is 10010011111013. The reversal of 10010011111002 is 20011111001001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29386353 + ... + 29725035.

It is an arithmetic number, because the mean of its divisors is an integer number (260369421312).

Almost surely, 210010011111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010011111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497732222976).

10010011111002 is an abundant number, since it is smaller than the sum of its proper divisors (14985453334950).

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

10010011111002 is a wasteful number, since it uses less digits than its factorization.

10010011111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340672 (or 340669 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010011111002 its reverse (20011111001001), we get a palindrome (30021122112003).

The spelling of 10010011111002 in words is "ten trillion, ten billion, eleven million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 1847 2286 2667 3694 5334 5541 8001 11082 12929 16002 16623 25858 33246 38787 77574 116361 232722 234569 338683 469138 677366 703707 1016049 1407414 1641983 2032098 2111121 2370781 3048147 3283966 4222242 4741562 4925949 6096294 7112343 9851898 14224686 14777847 21337029 29555694 42674058 43012741 86025482 129038223 258076446 301089187 387114669 602178374 625547501 774229338 903267561 1251095002 1806535122 1876642503 2709802683 3753285006 4378832507 5419605366 5629927509 8757665014 11259855018 13136497521 26272995042 39409492563 78818985126 79444532627 158889065254 238333597881 476667195762 556111728389 715000793643 1112223456778 1430001587286 1668335185167 3336670370334 5005005555501 10010011111002