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33021113122031 = 1753199918333869
BaseRepresentation
bin1111000001000010100111…
…01101111011110011101111
311022220210021011000202112212
413200201103231323303233
513312004214424401111
6154121405010121035
76645460652255036
oct740412355736357
9138823234022485
1033021113122031
11a5811a2553911
123853867b8017b
131556b54140368
1482233232171d
153c3e4cd6298b
hex1e0853b7bcef

33021113122031 has 16 divisors (see below), whose sum is σ = 35641043280000. Its totient is φ = 30477048795648.

The previous prime is 33021113122003. The next prime is 33021113122033. The reversal of 33021113122031 is 13022131112033.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33021113122031 is a prime.

It is a super-2 number, since 2×330211131220312 (a number of 28 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 = 33021113121988 and 33021113122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33021113122033) 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, 7365836 + ... + 10968033.

It is an arithmetic number, because the mean of its divisors is an integer number (2227565205000).

Almost surely, 233021113122031 is an apocalyptic number.

33021113122031 is a deficient number, since it is larger than the sum of its proper divisors (2619930157969).

33021113122031 is a wasteful number, since it uses less digits than its factorization.

33021113122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18335938.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 33021113122031 its reverse (13022131112033), we get a palindrome (46043244234064).

The spelling of 33021113122031 in words is "thirty-three trillion, twenty-one billion, one hundred thirteen million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 17 53 901 1999 33983 105947 1801099 18333869 311675773 971695057 16518815969 36649404131 623039870227 1942418418943 33021113122031