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1030224454272 = 273213231211809
BaseRepresentation
bin11101111110111100010…
…10011010001010000000
310122111012010001210020100
432333132022122022000
5113334344430014042
62105140101242400
7134300631242346
oct16773612321200
93574163053210
101030224454272
11367a08934822
121477b8103400
13761c3cca900
1437c125db996
151bbe9e2a24c
hexefde29a280

1030224454272 has 576 divisors, whose sum is σ = 3333538540800. Its totient is φ = 304935321600.

The previous prime is 1030224454267. The next prime is 1030224454289. The reversal of 1030224454272 is 2724544220301.

1030224454272 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 2 + 44 + 542 + 72 = 666.

1030224454272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10302244542722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1273453804 + ... + 1273454612.

It is an arithmetic number, because the mean of its divisors is an integer number (5787393300).

Almost surely, 21030224454272 is an apocalyptic number.

1030224454272 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 1030224454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666769270400).

1030224454272 is an abundant number, since it is smaller than the sum of its proper divisors (2303314086528).

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

1030224454272 is a wasteful number, since it uses less digits than its factorization.

1030224454272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 1030224454272 its reverse (2724544220301), we get a palindrome (3754768674573).

The spelling of 1030224454272 in words is "one trillion, thirty billion, two hundred twenty-four million, four hundred fifty-four thousand, two hundred seventy-two".