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2013211002320 = 245718163131477
BaseRepresentation
bin11101010010111100101…
…110100000010111010000
321010110110010200022012022
4131102330232200113100
5230441024004033240
64140504550351012
7265310150112560
oct35227456402720
97113403608168
102013211002320
11706886143421
1228621035b468
13117aca5731cb
146d623262da0
153757cc0d9b5
hex1d4bcba05d0

2013211002320 has 160 divisors (see below), whose sum is σ = 5387639502336. Its totient is φ = 685320652800.

The previous prime is 2013211002311. The next prime is 2013211002323. The reversal of 2013211002320 is 232001123102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013211002323) 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, 63942422 + ... + 63973898.

Almost surely, 22013211002320 is an apocalyptic number.

2013211002320 is a gapful number since it is divisible by the number (20) 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 2013211002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693819751168).

2013211002320 is an abundant number, since it is smaller than the sum of its proper divisors (3374428500016).

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

2013211002320 is a wasteful number, since it uses less digits than its factorization.

2013211002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32309 (or 32303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2013211002320 its reverse (232001123102), we get a palindrome (2245212125422).

The spelling of 2013211002320 in words is "two trillion, thirteen billion, two hundred eleven million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 181 280 362 560 631 724 905 1262 1267 1448 1810 2524 2534 2896 3155 3620 4417 5048 5068 6310 6335 7240 8834 10096 10136 12620 12670 14480 17668 20272 22085 25240 25340 31477 35336 44170 50480 50680 62954 70672 88340 101360 114211 125908 157385 176680 220339 228422 251816 314770 353360 440678 456844 503632 571055 629540 799477 881356 913688 1101695 1142110 1259080 1598954 1762712 1827376 2203390 2284220 2518160 3197908 3525424 3997385 4406780 4568440 5697337 6395816 7994770 8813560 9136880 11394674 12791632 15989540 17627120 19861987 22789348 28486685 31979080 39723974 39881359 45578696 56973370 63958160 79447948 79762718 91157392 99309935 113946740 139033909 158895896 159525436 198619870 199406795 227893480 278067818 317791792 319050872 397239740 398813590 455786960 556135636 638101744 695169545 794479480 797627180 1112271272 1390339090 1588958960 1595254360 2224542544 2780678180 3190508720 3595019647 5561356360 7190039294 11122712720 14380078588 17975098235 25165137529 28760157176 35950196470 50330275058 57520314352 71900392940 100660550116 125825687645 143800785880 201321100232 251651375290 287601571760 402642200464 503302750580 1006605501160 2013211002320