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22121001210 = 23571130013191
BaseRepresentation
bin10100100110100000…
…111011000011111010
32010002122120021221010
4110212200323003322
5330300434014320
614055013454350
71412115256620
oct244640730372
963078507833
1022121001210
119421801690
1243543413b6
132116c39839
1410dbc7b510
15897080ae0
hex52683b0fa

22121001210 has 128 divisors (see below), whose sum is σ = 66233438208. Its totient is φ = 4593600000.

The previous prime is 22121001209. The next prime is 22121001233. The reversal of 22121001210 is 1210012122.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6930715 + ... + 6933905.

It is an arithmetic number, because the mean of its divisors is an integer number (517448736).

Almost surely, 222121001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33116719104).

22121001210 is an abundant number, since it is smaller than the sum of its proper divisors (44112436998).

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

22121001210 is a wasteful number, since it uses less digits than its factorization.

22121001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220.

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

Adding to 22121001210 its reverse (1210012122), we get a palindrome (23331013332).

It can be divided in two parts, 2 and 2121001210, that added together give a palindrome (2121001212).

The spelling of 22121001210 in words is "twenty-two billion, one hundred twenty-one million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3001 3191 6002 6382 9003 9573 15005 15955 18006 19146 21007 22337 30010 31910 33011 35101 42014 44674 45015 47865 63021 66022 67011 70202 90030 95730 99033 105035 105303 111685 126042 134022 165055 175505 198066 210070 210606 223370 231077 245707 315105 330110 335055 351010 462154 491414 495165 526515 630210 670110 693231 737121 990330 1053030 1155385 1228535 1386462 1474242 2310770 2457070 3466155 3685605 6932310 7371210 9576191 19152382 28728573 47880955 57457146 67033337 95761910 105338101 134066674 143642865 201100011 210676202 287285730 316014303 335166685 402200022 526690505 632028606 670333370 737366707 1005500055 1053381010 1474733414 1580071515 2011000110 2212100121 3160143030 3686833535 4424200242 7373667070 11060500605 22121001210