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22330131121100 = 22521153487786491
BaseRepresentation
bin1010001001111001000111…
…00010001000001111001100
32221001201222020020221002002
411010330203202020033030
510411324102031333400
6115254153130451432
74463204315531405
oct504744342101714
987051866227062
1022330131121100
11712a1789663a0
12260788b893b78
13c5c950c5a93a
14572ad986a9ac
1528acd08ebed5
hex144f238883cc

22330131121100 has 144 divisors (see below), whose sum is σ = 53969559227136. Its totient is φ = 7950470112000.

The previous prime is 22330131121069. The next prime is 22330131121157. The reversal of 22330131121100 is 112113103322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27998855 + ... + 28785345.

It is an arithmetic number, because the mean of its divisors is an integer number (374788605744).

Almost surely, 222330131121100 is an apocalyptic number.

22330131121100 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 22330131121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984779613568).

22330131121100 is an abundant number, since it is smaller than the sum of its proper divisors (31639428106036).

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

22330131121100 is a wasteful number, since it uses less digits than its factorization.

22330131121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787056 (or 787049 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 22330131121100 its reverse (112113103322), we get a palindrome (22442244224422).

The spelling of 22330131121100 in words is "twenty-two trillion, three hundred thirty billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 487 530 550 583 974 1060 1100 1166 1325 1948 2332 2435 2650 2915 4870 5300 5357 5830 9740 10714 11660 12175 14575 21428 24350 25811 26785 29150 48700 51622 53570 58300 103244 107140 129055 133925 258110 267850 283921 516220 535700 567842 645275 786491 1135684 1290550 1419605 1572982 2581100 2839210 3145964 3932455 5678420 7098025 7864910 8651401 14196050 15729820 17302802 19662275 28392100 34605604 39324550 41684023 43257005 78649100 83368046 86514010 166736092 173028020 208420115 216285025 383021117 416840230 432570050 458524253 766042234 833680460 865140100 917048506 1042100575 1532084468 1834097012 1915105585 2084201150 2292621265 3830211170 4168402300 4213232287 4585242530 7660422340 8426464574 9170485060 9575527925 11463106325 16852929148 19151055850 20300119201 21066161435 22926212650 38302111700 40600238402 42132322870 45852425300 81200476804 84264645740 101500596005 105330807175 203001192010 210661614350 223301311211 406002384020 421323228700 446602622422 507502980025 893205244844 1015005960050 1116506556055 2030011920100 2233013112110 4466026224220 5582532780275 11165065560550 22330131121100