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2200032121100 = 22521131431500397
BaseRepresentation
bin100000000000111100001…
…000100001000100001100
321210022200000120110022212
4200000330020201010030
5242021131210333400
64402403015325552
7314642563323422
oct40007410410414
97708600513285
102200032121100
11779034861050
122b646a3808b8
1312c60141bac8
14786a6d33112
153c364199335
hex2003c22110c

2200032121100 has 144 divisors (see below), whose sum is σ = 5501107239936. Its totient is φ = 756199584000.

The previous prime is 2200032121093. The next prime is 2200032121103. The reversal of 2200032121100 is 11212300022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2200032121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716102 + ... + 2216498.

Almost surely, 22200032121100 is an apocalyptic number.

2200032121100 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 2200032121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750553619968).

2200032121100 is an abundant number, since it is smaller than the sum of its proper divisors (3301075118836).

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

2200032121100 is a wasteful number, since it uses less digits than its factorization.

2200032121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500496 (or 1500489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2200032121100 its reverse (11212300022), we get a palindrome (2211244421122).

The spelling of 2200032121100 in words is "two trillion, two hundred billion, thirty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 43 44 50 55 62 86 100 110 124 155 172 215 220 275 310 341 430 473 550 620 682 775 860 946 1075 1100 1333 1364 1550 1705 1892 2150 2365 2666 3100 3410 4300 4730 5332 6665 6820 8525 9460 11825 13330 14663 17050 23650 26660 29326 33325 34100 47300 58652 66650 73315 133300 146630 293260 366575 733150 1466300 1500397 3000794 6001588 7501985 15003970 16504367 30007940 33008734 37509925 46512307 64517071 66017468 75019850 82521835 93024614 129034142 150039700 165043670 186049228 232561535 258068284 322585355 330087340 412609175 465123070 511635377 645170710 709687781 825218350 930246140 1023270754 1162807675 1290341420 1419375562 1612926775 1650436700 2000029201 2046541508 2325615350 2558176885 2838751124 3225853550 3548438905 4000058402 4651230700 5116353770 6451707100 7096877810 8000116804 10000146005 10232707540 12790884425 14193755620 17742194525 20000292010 22000321211 25581768850 35484389050 40000584020 44000642422 50000730025 51163537700 70968778100 88001284844 100001460050 110001606055 200002920100 220003212110 440006424220 550008030275 1100016060550 2200032121100