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1122200000010 = 2325371201280597
BaseRepresentation
bin10000010101001000010…
…101010001011000001010
310222021121001021121122100
4100111020111101120022
5121341231200000020
62215310452334230
7144035106420435
oct20251025213012
93867531247570
101122200000010
113a2a1670a641
121615a6614376
1381a911b455b
143c459a2a81c
151e2ce938a90
hex1054855160a

1122200000010 has 96 divisors (see below), whose sum is σ = 2999083054032. Its totient is φ = 290921932800.

The previous prime is 1122199999939. The next prime is 1122200000011. The reversal of 1122200000010 is 100000022211.

It can be written as a sum of positive squares in 8 ways, for example, as 533660931441 + 588539068569 = 730521^2 + 767163^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1122199999938 and 1122200000001.

It is not an unprimeable number, because it can be changed into a prime (1122200000011) 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, 3859032 + ... + 4139628.

Almost surely, 21122200000010 is an apocalyptic number.

1122200000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122200000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499541527016).

1122200000010 is an abundant number, since it is smaller than the sum of its proper divisors (1876883054022).

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

1122200000010 is a wasteful number, since it uses less digits than its factorization.

1122200000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281848 (or 281845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1122200000010 its reverse (100000022211), we get a palindrome (1222200022221).

The spelling of 1122200000010 in words is "one trillion, one hundred twenty-two billion, two hundred million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1201 1665 2402 3330 3603 6005 7206 10809 12010 18015 21618 36030 44437 54045 88874 108090 133311 222185 266622 280597 399933 444370 561194 666555 799866 841791 1333110 1402985 1683582 1999665 2525373 2805970 3999330 4208955 5050746 8417910 10382089 12626865 20764178 25253730 31146267 51910445 62292534 93438801 103820890 155731335 186877602 311462670 336996997 467194005 673993994 934388010 1010990991 1684984985 2021981982 3032972973 3369969970 5054954955 6065945946 10109909910 12468888889 15164864865 24937777778 30329729730 37406666667 62344444445 74813333334 112220000001 124688888890 187033333335 224440000002 374066666670 561100000005 1122200000010