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103434233310 = 23351931984921
BaseRepresentation
bin110000001010100101…
…0010010010111011110
3100212222111202110201000
41200111022102113132
53143313130431220
6115303402331130
710321124322342
oct1402512222736
9325874673630
10103434233310
113a958a23451
1218067ab9aa6
1399a5160365
1450131bd622
152a559a5390
hex18152925de

103434233310 has 64 divisors (see below), whose sum is σ = 277253904960. Its totient is φ = 27439534080.

The previous prime is 103434233299. The next prime is 103434233311. The reversal of 103434233310 is 13332434301.

103434233310 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 342 + 3 + 3 + 310 = 666.

103434233310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1034342333102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103434233311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940351 + ... + 1044570.

It is an arithmetic number, because the mean of its divisors is an integer number (4332092265).

Almost surely, 2103434233310 is an apocalyptic number.

103434233310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103434233310 is an abundant number, since it is smaller than the sum of its proper divisors (173819671650).

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

103434233310 is a wasteful number, since it uses less digits than its factorization.

103434233310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985130 (or 1985124 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103434233310 its reverse (13332434301), we get a palindrome (116766667611).

The spelling of 103434233310 in words is "one hundred three billion, four hundred thirty-four million, two hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 193 270 386 579 965 1158 1737 1930 2895 3474 5211 5790 8685 10422 17370 26055 52110 1984921 3969842 5954763 9924605 11909526 17864289 19849210 29773815 35728578 53592867 59547630 89321445 107185734 178642890 267964335 383089753 535928670 766179506 1149269259 1915448765 2298538518 3447807777 3830897530 5746346295 6895615554 10343423331 11492692590 17239038885 20686846662 34478077770 51717116655 103434233310