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1002001220112 = 243472281194717
BaseRepresentation
bin11101001010010111110…
…11010100001000010000
310112210100012001221101110
432211023323110020100
5112404044303020422
62044151335333320
7132251344562004
oct16451373241020
93483305057343
101002001220112
11356a45626212
12142240221240
1373646a7c359
14366d613c704
151b0e72ba60c
hexe94bed4210

1002001220112 has 80 divisors (see below), whose sum is σ = 2644750225152. Its totient is φ = 326749025280.

The previous prime is 1002001220107. The next prime is 1002001220123. The reversal of 1002001220112 is 2110221002001.

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, 5048578 + ... + 5243294.

Almost surely, 21002001220112 is an apocalyptic number.

1002001220112 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 1002001220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322375112576).

1002001220112 is an abundant number, since it is smaller than the sum of its proper divisors (1642749005040).

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

1002001220112 is a wasteful number, since it uses less digits than its factorization.

1002001220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197056 (or 197050 counting only the distinct ones).

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

Adding to 1002001220112 its reverse (2110221002001), we get a palindrome (3112222222113).

The spelling of 1002001220112 in words is "one trillion, two billion, one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 2281 4562 6843 9124 13686 18248 27372 36496 54744 107207 109488 194717 214414 321621 389434 428828 584151 643242 778868 857656 1168302 1286484 1557736 1715312 2336604 2572968 3115472 4673208 5145936 9151699 9346416 18303398 27455097 36606796 54910194 73213592 109820388 146427184 219640776 439281552 444149477 888298954 1332448431 1776597908 2664896862 3553195816 5329793724 7106391632 10659587448 20875025419 21319174896 41750050838 62625076257 83500101676 125250152514 167000203352 250500305028 334000406704 501000610056 1002001220112