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33121111220040 = 23351327207994921
BaseRepresentation
bin1111000011111100111000…
…00100011001111101001000
311100021100101012002110202110
413201332130010121331020
513320124013433020130
6154235343424302320
76655631004132264
oct741763404317510
9140240335073673
1033121111220040
11a60a6478aaa18
12386b1151719a0
1315633cc43515c
148270db0090a4
153c6851d23ab0
hex1e1f9c119f48

33121111220040 has 64 divisors (see below), whose sum is σ = 99438212309760. Its totient is φ = 8825640445440.

The previous prime is 33121111220027. The next prime is 33121111220047. The reversal of 33121111220040 is 4002211112133.

It is a junction number, because it is equal to n+sod(n) for n = 33121111219989 and 33121111220016.

It is not an unprimeable number, because it can be changed into a prime (33121111220047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103838221 + ... + 104156700.

It is an arithmetic number, because the mean of its divisors is an integer number (1553722067340).

Almost surely, 233121111220040 is an apocalyptic number.

33121111220040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33121111220040 is an abundant number, since it is smaller than the sum of its proper divisors (66317101089720).

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

33121111220040 is a wasteful number, since it uses less digits than its factorization.

33121111220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207996262 (or 207996258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 33121111220040 its reverse (4002211112133), we get a palindrome (37123322332173).

The spelling of 33121111220040 in words is "thirty-three trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1327 2654 3981 5308 6635 7962 10616 13270 15924 19905 26540 31848 39810 53080 79620 159240 207994921 415989842 623984763 831979684 1039974605 1247969526 1663959368 2079949210 2495939052 3119923815 4159898420 4991878104 6239847630 8319796840 12479695260 24959390520 276009260167 552018520334 828027780501 1104037040668 1380046300835 1656055561002 2208074081336 2760092601670 3312111122004 4140138902505 5520185203340 6624222244008 8280277805010 11040370406680 16560555610020 33121111220040