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103013133030 = 23251144590367
BaseRepresentation
bin101111111110000001…
…1111010101011100110
3100211220011101100201100
41133330003322223212
53141432330224110
6115153520540530
710304522116623
oct1377403725346
9324804340640
10103013133030
113a762256595
1217b6aa81746
139938b418b2
144db32c534a
152a2da24bc0
hex17fc0faae6

103013133030 has 24 divisors (see below), whose sum is σ = 267834146112. Its totient is φ = 27470168784.

The previous prime is 103013132983. The next prime is 103013133043. The reversal of 103013133030 is 30331310301.

103013133030 is a `hidden beast` number, since 1 + 0 + 301 + 3 + 1 + 330 + 30 = 666.

It is a super-2 number, since 2×1030131330302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103013132994 and 103013133012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572295094 + ... + 572295273.

It is an arithmetic number, because the mean of its divisors is an integer number (11159756088).

Almost surely, 2103013133030 is an apocalyptic number.

103013133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103013133030 is an abundant number, since it is smaller than the sum of its proper divisors (164821013082).

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

103013133030 is a wasteful number, since it uses less digits than its factorization.

103013133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144590380 (or 1144590377 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103013133030 its reverse (30331310301), we get a palindrome (133344443331).

The spelling of 103013133030 in words is "one hundred three billion, thirteen million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1144590367 2289180734 3433771101 5722951835 6867542202 10301313303 11445903670 17168855505 20602626606 34337711010 51506566515 103013133030