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22010201020002 = 2313297271982301
BaseRepresentation
bin1010000000100101001100…
…01101101001011001100010
32212221011011202022212100110
411000102212031221121202
510341103342430120002
6114451202522232150
74431120204535026
oct500224615513142
985834152285313
1022010201020002
117016523742168
122575883955656
13c38726088c00
1456142983a386
152828086cce6c
hex1404a6369662

22010201020002 has 96 divisors (see below), whose sum is σ = 48176772779520. Its totient is φ = 6700004812800.

The previous prime is 22010201019991. The next prime is 22010201020009. The reversal of 22010201020002 is 20002010201022.

It is a self number, because there is not a number n which added to its sum of digits gives 22010201020002.

It is not an unprimeable number, because it can be changed into a prime (22010201020009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267394252 + ... + 267476552.

It is an arithmetic number, because the mean of its divisors is an integer number (501841383120).

Almost surely, 222010201020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010201020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24088386389760).

22010201020002 is an abundant number, since it is smaller than the sum of its proper divisors (26166571759518).

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

22010201020002 is a wasteful number, since it uses less digits than its factorization.

22010201020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85148 (or 85135 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22010201020002 its reverse (20002010201022), we get a palindrome (42012211221024).

The spelling of 22010201020002 in words is "twenty-two trillion, ten billion, two hundred one million, twenty thousand, two".

Divisors: 1 2 3 6 13 26 39 78 97 169 194 291 338 507 582 1014 1261 2522 2719 3783 5438 7566 8157 16314 16393 32786 35347 49179 70694 82301 98358 106041 164602 212082 246903 263743 459511 493806 527486 791229 919022 1069913 1378533 1582458 2139826 2757066 3209739 3428659 6419478 6857318 7983197 10285977 13908869 15966394 20571954 23949591 27817738 41726607 44572567 47899182 83453214 89145134 103781561 133717701 207563122 223776419 267435402 311344683 447552838 622689366 671329257 1342658514 1349160293 2698320586 2909093447 4047480879 5818186894 8094961758 8727280341 17454560682 21706312643 37818214811 43412625286 65118937929 75636429622 113454644433 130237875858 226909288866 282182064359 564364128718 846546193077 1693092386154 3668366836667 7336733673334 11005100510001 22010201020002