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22121101002 = 237111310136467
BaseRepresentation
bin10100100110100001…
…010011011011001010
32010002122202100211010
4110212201103123022
5330301000213002
614055015544350
71412116153560
oct244641233312
963078670733
1022121101002
11942186a660
12435438b0b6
132116c730a0
1410dbca5a30
158970a046c
hex5268536ca

22121101002 has 128 divisors (see below), whose sum is σ = 59991902208. Its totient is φ = 5251104000.

The previous prime is 22121100979. The next prime is 22121101007. The reversal of 22121101002 is 20010112122.

It is not an unprimeable number, because it can be changed into a prime (22121101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588373 + ... + 624839.

It is an arithmetic number, because the mean of its divisors is an integer number (468686736).

Almost surely, 222121101002 is an apocalyptic number.

22121101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29995951104).

22121101002 is an abundant number, since it is smaller than the sum of its proper divisors (37870801206).

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

22121101002 is a wasteful number, since it uses less digits than its factorization.

22121101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36604.

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

Adding to 22121101002 its reverse (20010112122), we get a palindrome (42131213124).

The spelling of 22121101002 in words is "twenty-two billion, one hundred twenty-one million, one hundred one thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 6006 6666 7777 7878 9191 14443 15554 18382 23331 27573 28886 36467 43329 46662 55146 72934 86658 101101 109401 202202 218802 255269 303303 401137 474071 510538 606606 765807 802274 948142 1203411 1422213 1531614 2406822 2807959 2844426 3318497 3683167 5214781 5615918 6636994 7366334 8423877 9955491 10429562 11049501 15644343 16847754 19910982 22099002 25782169 31288686 36503467 40514837 47881171 51564338 73006934 77346507 81029674 95762342 109510401 121544511 143643513 154693014 219020802 243089022 283603859 287287026 335168197 526692881 567207718 670336394 850811577 1005504591 1053385762 1580078643 1701623154 2011009182 3160157286 3686850167 7373700334 11060550501 22121101002