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1102400020 = 225173242353
BaseRepresentation
bin100000110110101…
…0100101000010100
32211211100201112101
41001231110220110
54224203300040
6301220131444
736214150141
oct10155245024
92754321471
101102400020
115163044a7
12269236b84
13147511207
14a65a53c8
1566bac09a
hex41b54a14

1102400020 has 24 divisors (see below), whose sum is σ = 2451219624. Its totient is φ = 415021056.

The previous prime is 1102400017. The next prime is 1102400023. The reversal of 1102400020 is 200042011.

It is an interprime number because it is at equal distance from previous prime (1102400017) and next prime (1102400023).

It can be written as a sum of positive squares in 4 ways, for example, as 360164484 + 742235536 = 18978^2 + 27244^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102400023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1620837 + ... + 1621516.

It is an arithmetic number, because the mean of its divisors is an integer number (102134151).

Almost surely, 21102400020 is an apocalyptic number.

1102400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102400020 is an abundant number, since it is smaller than the sum of its proper divisors (1348819604).

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

1102400020 is a wasteful number, since it uses less digits than its factorization.

1102400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242379 (or 3242377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1102400020 is about 33202.4098522984. The cubic root of 1102400020 is about 1033.0303255399.

Adding to 1102400020 its reverse (200042011), we get a palindrome (1302442031).

The spelling of 1102400020 in words is "one billion, one hundred two million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3242353 6484706 12969412 16211765 32423530 55120001 64847060 110240002 220480004 275600005 551200010 1102400020