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1030233000400 = 245217151504853
BaseRepresentation
bin11101111110111101010…
…11000000100111010000
310122111012201010222022121
432333132223000213100
5113334404122003100
62105141004344024
7134301064005232
oct16773653004720
93574181128277
101030233000400
11367a1274163a
121477bab45014
13761c5a007a6
1437c137c4252
151bbeaa6751a
hexefdeac09d0

1030233000400 has 60 divisors (see below), whose sum is σ = 2620730964492. Its totient is φ = 387852421120.

The previous prime is 1030233000397. The next prime is 1030233000403. The reversal of 1030233000400 is 40003320301.

It is an interprime number because it is at equal distance from previous prime (1030233000397) and next prime (1030233000403).

It can be written as a sum of positive squares in 6 ways, for example, as 131574503824 + 898658496576 = 362732^2 + 947976^2 .

It is a super-2 number, since 2×10302330004002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030233000403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75745627 + ... + 75759226.

Almost surely, 21030233000400 is an apocalyptic number.

1030233000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030233000400 is an abundant number, since it is smaller than the sum of its proper divisors (1590497964092).

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

1030233000400 is a wasteful number, since it uses less digits than its factorization.

1030233000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151504888 (or 151504877 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 1030233000400 its reverse (40003320301), we get a palindrome (1070236320701).

The spelling of 1030233000400 in words is "one trillion, thirty billion, two hundred thirty-three million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 151504853 303009706 606019412 757524265 1212038824 1515048530 2424077648 2575582501 3030097060 3787621325 5151165002 6060194120 7575242650 10302330004 12120388240 12877912505 15150485300 20604660008 25755825010 30300970600 41209320016 51511650020 60601941200 64389562525 103023300040 128779125050 206046600080 257558250100 515116500200 1030233000400