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10022001012012 = 22311222787340793
BaseRepresentation
bin1001000111010110110111…
…0011110110110100101100
31022111002112111000110112010
42101311231303312310230
52303200024224341022
633152013235041220
72053031346016413
oct221655563666454
938432474013463
1010022001012012
113214341330a80
12115a3b7a40210
135790bc273022
142690d309447a
15125a666c150c
hex91d6dcf6d2c

10022001012012 has 48 divisors (see below), whose sum is σ = 25510737393792. Its totient is φ = 3036947460480.

The previous prime is 10022001011999. The next prime is 10022001012031. The reversal of 10022001012012 is 21021010022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29237488 + ... + 29578280.

It is an arithmetic number, because the mean of its divisors is an integer number (531473695704).

Almost surely, 210022001012012 is an apocalyptic number.

10022001012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022001012012 is an abundant number, since it is smaller than the sum of its proper divisors (15488736381780).

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

10022001012012 is a wasteful number, since it uses less digits than its factorization.

10022001012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563598 (or 563596 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022001012012 its reverse (21021010022001), we get a palindrome (31043011034013).

The spelling of 10022001012012 in words is "ten trillion, twenty-two billion, one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 222787 340793 445574 668361 681586 891148 1022379 1336722 1363172 2044758 2450657 2673444 3748723 4089516 4901314 7351971 7497446 9802628 11246169 14703942 14994892 22492338 29407884 44984676 75924250091 151848500182 227772750273 303697000364 455545500546 835166751001 911091001092 1670333502002 2505500253003 3340667004004 5011000506006 10022001012012