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103333233132 = 223253203926561
BaseRepresentation
bin110000000111100100…
…1000000000111101100
3100212201110201010111200
41200033021000013230
53143111301430012
6115245353445500
710315456663233
oct1401711000754
9325643633450
10103333233132
113a906a09528
121803a110890
13998a25953c
145003a0bb1a
152a4bba43dc
hex180f2401ec

103333233132 has 72 divisors (see below), whose sum is σ = 266272362720. Its totient is φ = 33776670720.

The previous prime is 103333233103. The next prime is 103333233137. The reversal of 103333233132 is 231332333301.

103333233132 is a `hidden beast` number, since 1 + 0 + 333 + 323 + 3 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103333233096 and 103333233105.

It is not an unprimeable number, because it can be changed into a prime (103333233137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3877132 + ... + 3903692.

It is an arithmetic number, because the mean of its divisors is an integer number (3698227260).

Almost surely, 2103333233132 is an apocalyptic number.

103333233132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103333233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136181360).

103333233132 is an abundant number, since it is smaller than the sum of its proper divisors (162939129588).

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

103333233132 is a wasteful number, since it uses less digits than its factorization.

103333233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28663 (or 28658 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 103333233132 its reverse (231332333301), we get a palindrome (334665566433).

The spelling of 103333233132 in words is "one hundred three billion, three hundred thirty-three million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2039 4078 6117 8156 12234 18351 24468 26561 36702 53122 73404 79683 106244 108067 159366 216134 239049 318732 324201 432268 478098 648402 956196 972603 1296804 1407733 1945206 2815466 3890412 4223199 5630932 8446398 12669597 16892796 25339194 50678388 54157879 108315758 162473637 216631516 324947274 487420911 649894548 974841822 1949683644 2870367587 5740735174 8611102761 11481470348 17222205522 25833308283 34444411044 51666616566 103333233132