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1103300101033 = 131371324946757
BaseRepresentation
bin10000000011100001110…
…011111000001110101001
310220110210212210021021221
4100003201303320032221
5121034024311213113
62202503222102041
7142465543060234
oct20034163701651
93813725707257
101103300101033
113959a8164819
121599b0b7a921
138006b6c4590
143b5858ac41b
151da7557398d
hex100e1cf83a9

1103300101033 has 16 divisors (see below), whose sum is σ = 1196958042000. Its totient is φ = 1010899132416.

The previous prime is 1103300101027. The next prime is 1103300101039. The reversal of 1103300101033 is 3301010033011.

It is an interprime number because it is at equal distance from previous prime (1103300101027) and next prime (1103300101039).

It can be written as a sum of positive squares in 8 ways, for example, as 858900249 + 1102441200784 = 29307^2 + 1049972^2 .

It is a cyclic number.

It is not a de Polignac number, because 1103300101033 - 221 = 1103298003881 is a prime.

It is a super-2 number, since 2×11033001010332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1103300100998 and 1103300101016.

It is not an unprimeable number, because it can be changed into a prime (1103300101039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23573091 + ... + 23619847.

It is an arithmetic number, because the mean of its divisors is an integer number (74809877625).

Almost surely, 21103300101033 is an apocalyptic number.

1103300101033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1103300101033 is a deficient number, since it is larger than the sum of its proper divisors (93657940967).

1103300101033 is a wasteful number, since it uses less digits than its factorization.

1103300101033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60156.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1103300101033 its reverse (3301010033011), we get a palindrome (4404310134044).

The spelling of 1103300101033 in words is "one trillion, one hundred three billion, three hundred million, one hundred one thousand, thirty-three".

Divisors: 1 13 137 1781 13249 46757 172237 607841 1815113 6405709 23596469 83274217 619483493 8053285409 84869238541 1103300101033