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10222222200012 = 223217371074218989
BaseRepresentation
bin1001010011000000101111…
…1011000100110011001100
31100012020100020111122220200
42110300023323010303030
52314440102340400022
633424005110013500
72103350124025404
oct224601373046314
940166306448820
1010222222200012
113291246a36a79
121191175647290
13591c4a357574
14274a886b1804
1512ad84287bac
hex94c0bec4ccc

10222222200012 has 144 divisors (see below), whose sum is σ = 28361535864480. Its totient is φ = 3091134375936.

The previous prime is 10222222200011. The next prime is 10222222200031. The reversal of 10222222200012 is 21000222222201.

10222222200012 is a `hidden beast` number, since 10 + 222 + 222 + 200 + 0 + 12 = 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 (10222222200011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313414 + ... + 4532402.

It is an arithmetic number, because the mean of its divisors is an integer number (196955110170).

Almost surely, 210222222200012 is an apocalyptic number.

10222222200012 is a gapful number since it is divisible by the number (12) 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 10222222200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180767932240).

10222222200012 is an abundant number, since it is smaller than the sum of its proper divisors (18139313664468).

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

10222222200012 is a wasteful number, since it uses less digits than its factorization.

10222222200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219160 (or 4219155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222222200012 its reverse (21000222222201), we get a palindrome (31222444422213).

The spelling of 10222222200012 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 107 111 148 153 204 214 222 306 321 333 428 444 612 629 642 666 963 1258 1284 1332 1819 1887 1926 2516 3638 3774 3852 3959 5457 5661 7276 7548 7918 10914 11322 11877 15836 16371 21828 22644 23754 32742 35631 47508 65484 67303 71262 134606 142524 201909 269212 403818 605727 807636 1211454 2422908 4218989 8437978 12656967 16875956 25313934 37970901 50627868 71722813 75941802 143445626 151883604 156102593 215168439 286891252 312205186 430336878 451431823 468307779 624410372 645505317 860673756 902863646 936615558 1291010634 1354295469 1404923337 1805727292 1873231116 2582021268 2653744081 2708590938 2809846674 4062886407 5307488162 5417181876 5619693348 7674340991 7961232243 8125772814 10614976324 15348681982 15922464486 16251545628 16702977451 23023022973 23883696729 30697363964 31844928972 33405954902 46046045946 47767393458 50108932353 66811909804 69069068919 92092091892 95534786916 100217864706 138138137838 150326797059 200435729412 276276275676 283950616667 300653594118 567901233334 601307188236 851851850001 1135802466668 1703703700002 2555555550003 3407407400004 5111111100006 10222222200012