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22002221012112 = 24321127075131249
BaseRepresentation
bin1010000000010110010101…
…00100010101010010010000
32212220101120121112110110200
411000023022210111102100
510340441022034341422
6114443403015055200
74430415355561635
oct500131244252220
985811517473420
1022002221012112
1170130a918a120
122574217371500
13c37a53a25753
14560cada9818c
152824dcd312ac
hex1402ca915490

22002221012112 has 120 divisors (see below), whose sum is σ = 67198275300000. Its totient is φ = 6664875402240.

The previous prime is 22002221012111. The next prime is 22002221012143. The reversal of 22002221012112 is 21121012220022.

It is a happy number.

22002221012112 is a `hidden beast` number, since 220 + 0 + 22 + 210 + 1 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22002221012111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722264 + ... + 6853512.

It is an arithmetic number, because the mean of its divisors is an integer number (559985627500).

Almost surely, 222002221012112 is an apocalyptic number.

22002221012112 is a gapful number since it is divisible by the number (22) 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 22002221012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33599137650000).

22002221012112 is an abundant number, since it is smaller than the sum of its proper divisors (45196054287888).

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

22002221012112 is a wasteful number, since it uses less digits than its factorization.

22002221012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133981 (or 5133972 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22002221012112 its reverse (21121012220022), we get a palindrome (43123233232134).

The spelling of 22002221012112 in words is "twenty-two trillion, two billion, two hundred twenty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2707 5414 8121 10828 16242 21656 24363 29777 32484 43312 48726 59554 64968 89331 97452 119108 129936 178662 194904 238216 267993 357324 389808 476432 535986 714648 1071972 1429296 2143944 4287888 5131249 10262498 15393747 20524996 30787494 41049992 46181241 56443739 61574988 82099984 92362482 112887478 123149976 169331217 184724964 225774956 246299952 338662434 369449928 451549912 507993651 677324868 738899856 903099824 1015987302 1354649736 2031974604 2709299472 4063949208 8127898416 13890291043 27780582086 41670873129 55561164172 83341746258 111122328344 125012619387 152793201473 166683492516 222244656688 250025238774 305586402946 333366985032 458379604419 500050477548 611172805892 666733970064 916759208838 1000100955096 1222345611784 1375138813257 1833518417676 2000201910192 2444691223568 2750277626514 3667036835352 5500555253028 7334073670704 11001110506056 22002221012112