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21303133130312 = 2311892720011891
BaseRepresentation
bin1001101100000000001011…
…01011101100111001001000
32210102120002222100110200022
410312000011223230321020
510243012304040132222
6113150305123400012
74326046332615065
oct466000553547110
983376088313608
1021303133130312
11687367630a420
122480834223008
13bb6b52535c27
14539111985c6c
1526e223d9b042
hex136005aece48

21303133130312 has 32 divisors (see below), whose sum is σ = 44064192650400. Its totient is φ = 9574441852800.

The previous prime is 21303133130309. The next prime is 21303133130327.

21303133130312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1359998114 + ... + 1360013777.

It is an arithmetic number, because the mean of its divisors is an integer number (1377006020325).

Almost surely, 221303133130312 is an apocalyptic number.

21303133130312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21303133130312 is an abundant number, since it is smaller than the sum of its proper divisors (22761059520088).

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

21303133130312 is a wasteful number, since it uses less digits than its factorization.

21303133130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720011997 (or 2720011993 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 2130313 and 3130312, that added together give a palindrome (5260625).

The spelling of 21303133130312 in words is "twenty-one trillion, three hundred three billion, one hundred thirty-three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 3916 7832 2720011891 5440023782 10880047564 21760095128 29920130801 59840261602 119680523204 239361046408 242081058299 484162116598 968324233196 1936648466392 2662891641289 5325783282578 10651566565156 21303133130312