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2002113204344 = 2311196723974779
BaseRepresentation
bin11101001000100111001…
…111110001000001111000
321002101210201012202100122
4131020213033301001320
5230300311440014334
64131431430152412
7264435142305461
oct35104717610170
97071721182318
102002113204344
11702100788560
122840337b2708
13116a4c2c6446
146cc8d3b5d68
153712d7a232e
hex1d2273f1078

2002113204344 has 128 divisors (see below), whose sum is σ = 4393474560000. Its totient is φ = 845721233280.

The previous prime is 2002113204307. The next prime is 2002113204373. The reversal of 2002113204344 is 4434023112002.

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, 26736347 + ... + 26811125.

It is an arithmetic number, because the mean of its divisors is an integer number (34324020000).

Almost surely, 22002113204344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002113204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196737280000).

2002113204344 is an abundant number, since it is smaller than the sum of its proper divisors (2391361355656).

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

2002113204344 is a wasteful number, since it uses less digits than its factorization.

2002113204344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75121 (or 75117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2002113204344 its reverse (4434023112002), we get a palindrome (6436136316346).

The spelling of 2002113204344 in words is "two trillion, two billion, one hundred thirteen million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 239 268 418 478 536 737 836 956 1273 1474 1672 1912 2546 2629 2948 4541 5092 5258 5896 9082 10184 10516 14003 16013 18164 21032 28006 32026 36328 49951 56012 64052 74779 99902 112024 128104 149558 176143 199804 299116 304247 352286 399608 598232 608494 704572 822569 1216988 1409144 1420801 1645138 2433976 2841602 3290276 3346717 5010193 5683204 6580552 6693434 10020386 11366408 13386868 15628811 17872181 20040772 26773736 31257622 35744362 40081544 55112123 62515244 71488724 95193667 110224246 125030488 142977448 190387334 196593991 220448492 339571439 380774668 393187982 440896984 679142878 761549336 786375964 1047130337 1197436127 1358285756 1572751928 2094260674 2394872254 2716571512 3735285829 4188521348 4789744508 7470571658 8377042696 9579489016 13171797397 14941143316 22751286413 26343594794 29882286632 45502572826 52687189588 91005145652 105374379176 182010291304 250264150543 500528301086 1001056602172 2002113204344