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1000100212012 = 22111767151132157
BaseRepresentation
bin11101000110110101001…
…11100010110100101100
310112121102200222201112001
432203122213202310230
5112341201123241022
62043234550222044
7132153262353226
oct16433247426454
93477380881461
101000100212012
1135615a551740
121419ab654924
1373402c849a5
1436595891416
151b03545db27
hexe8da9e2d2c

1000100212012 has 96 divisors (see below), whose sum is σ = 2065369453056. Its totient is φ = 418670208000.

The previous prime is 1000100211947. The next prime is 1000100212019. The reversal of 1000100212012 is 2102120010001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100212012.

It is not an unprimeable number, because it can be changed into a prime (1000100212019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7501438 + ... + 7633594.

It is an arithmetic number, because the mean of its divisors is an integer number (21514265136).

Almost surely, 21000100212012 is an apocalyptic number.

It is an amenable number.

1000100212012 is an abundant number, since it is smaller than the sum of its proper divisors (1065269241044).

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

1000100212012 is a wasteful number, since it uses less digits than its factorization.

1000100212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132407 (or 132405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000100212012 its reverse (2102120010001), we get a palindrome (3102220222013).

The spelling of 1000100212012 in words is "one trillion, one hundred million, two hundred twelve thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 67 68 134 151 187 268 302 374 604 737 748 1139 1474 1661 2278 2567 2948 3322 4556 5134 6644 10117 10268 12529 20234 25058 28237 40468 50116 56474 111287 112948 132157 171989 222574 264314 343978 445148 528628 687956 1453727 1891879 2246669 2907454 3783758 4493338 5814908 7567516 8854519 8986676 17709038 19955707 24713359 35418076 39911414 49426718 79822828 97399709 98853436 150526823 194799418 219512777 301053646 339247019 389598836 439025554 602107292 678494038 878051108 1337032369 1356988076 1655795053 2674064738 3311590106 3731717209 5348129476 6623180212 7463434418 14707356059 14926868836 22729550273 29414712118 45459100546 58829424236 90918201092 250025053003 500050106006 1000100212012