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1010020320012 = 2231121097099001
BaseRepresentation
bin11101011001010011110…
…01110000001100001100
310120120001001102102102110
432230221321300030030
5113022010200220022
62051555200424020
7132654150032004
oct16545171601414
93516031372373
101010020320012
1135a390159700
121438b9918010
137432424bc92
1436c57179004
151b4162da00c
hexeb29e7030c

1010020320012 has 144 divisors (see below), whose sum is σ = 2618181288800. Its totient is φ = 302797440000.

The previous prime is 1010020319999. The next prime is 1010020320037. The reversal of 1010020320012 is 2100230200101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010020320012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112207512 + ... + 112216512.

Almost surely, 21010020320012 is an apocalyptic number.

1010020320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010020320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309090644400).

1010020320012 is an abundant number, since it is smaller than the sum of its proper divisors (1608160968788).

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

1010020320012 is a wasteful number, since it uses less digits than its factorization.

1010020320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1010020320012 its reverse (2100230200101), we get a palindrome (3110250520113).

The spelling of 1010020320012 in words is "one trillion, ten billion, twenty million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 121 132 218 242 327 363 436 484 654 709 726 1199 1308 1418 1452 2127 2398 2836 3597 4254 4796 7194 7799 8508 9001 13189 14388 15598 18002 23397 26378 27003 31196 36004 39567 46794 52756 54006 77281 79134 85789 93588 99011 108012 154562 158268 171578 198022 231843 257367 297033 309124 343156 396044 463686 514734 594066 850091 927372 981109 1029468 1089121 1188132 1700182 1962218 2178242 2550273 2943327 3267363 3400364 3924436 4356484 5100546 5886654 6381709 6534726 9351001 10201092 10792199 11773308 12763418 13069452 18702002 19145127 21584398 25526836 28053003 32376597 37404004 38290254 43168796 56106006 64753194 70198799 76580508 112212012 118714189 129506388 140397598 210596397 237428378 280795196 356142567 421192794 474856756 695606281 712285134 772186789 842385588 1391212562 1424570268 1544373578 2086818843 2316560367 2782425124 3088747156 4173637686 4633120734 7651669091 8347275372 9266241468 15303338182 22955007273 30606676364 45910014546 84168360001 91820029092 168336720002 252505080003 336673440004 505010160006 1010020320012