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10011020001012 = 2233691241155639
BaseRepresentation
bin1001000110101101111101…
…0010100111111011110100
31022110001012012022022022000
42101223133102213323310
52303010032110013022
633142555445535300
72052162256662162
oct221533722477364
938401165268260
1010011020001012
11320a716892978
121158252414530
1357805c266894
14268770928232
151256226336ac
hex91adf4a7ef4

10011020001012 has 96 divisors (see below), whose sum is σ = 26003305036800. Its totient is φ = 3330735487200.

The previous prime is 10011020000977. The next prime is 10011020001061. The reversal of 10011020001012 is 21010002011001.

It is a happy number.

It is a super-3 number, since 3×100110200010123 (a number of 40 digits) contains 333 as substring.

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 = 10011020000985 and 10011020001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179900289 + ... + 179955927.

It is an arithmetic number, because the mean of its divisors is an integer number (270867760800).

Almost surely, 210011020001012 is an apocalyptic number.

10011020001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011020001012 is an abundant number, since it is smaller than the sum of its proper divisors (15992285035788).

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

10011020001012 is a wasteful number, since it uses less digits than its factorization.

10011020001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58754 (or 58746 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011020001012 its reverse (21010002011001), we get a palindrome (31021022012013).

The spelling of 10011020001012 in words is "ten trillion, eleven billion, twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 691 1382 2073 2411 2764 4146 4822 6219 7233 8292 9644 12438 14466 18657 21699 24876 28932 37314 43398 55639 65097 74628 86796 111278 130194 166917 222556 260388 333834 500751 667668 1001502 1502253 1666001 2003004 3004506 3332002 4998003 6009012 6664004 9996006 14994009 19992012 29988018 38446549 44982027 59976036 76893098 89964054 115339647 134145629 153786196 179928108 230679294 268291258 346018941 402436887 461358588 536582516 692037882 804873774 1038056823 1207310661 1384075764 1609747548 2076113646 2414621322 3621931983 4152227292 4829242644 7243863966 14487727932 92694629639 185389259278 278083888917 370778518556 556167777834 834251666751 1112335555668 1668503333502 2502755000253 3337006667004 5005510000506 10011020001012