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4013201433021 = 3112341443291113
BaseRepresentation
bin111010011001100101011…
…100100010000110111101
3112012122202220111222112220
4322121211130202012331
51011223014031324041
612311350030315553
7562641605224044
oct72314534420675
915178686458486
104013201433021
111307a976486a0
12549951058bb9
1323159bb36a71
14dc35074155b
156e5d4e4ad66
hex3a6657221bd

4013201433021 has 64 divisors (see below), whose sum is σ = 6253855340544. Its totient is φ = 2264618470400.

The previous prime is 4013201433011. The next prime is 4013201433023. The reversal of 4013201433021 is 1203341023104.

It is a happy number.

It is not a de Polignac number, because 4013201433021 - 213 = 4013201424829 is a prime.

It is a super-2 number, since 2×40132014330212 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4013201432982 and 4013201433000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013201433023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13640161 + ... + 13931273.

It is an arithmetic number, because the mean of its divisors is an integer number (97716489696).

Almost surely, 24013201433021 is an apocalyptic number.

4013201433021 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4013201433021 is a deficient number, since it is larger than the sum of its proper divisors (2240653907523).

4013201433021 is a wasteful number, since it uses less digits than its factorization.

4013201433021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291634.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4013201433021 its reverse (1203341023104), we get a palindrome (5216542456125).

The spelling of 4013201433021 in words is "four trillion, thirteen billion, two hundred one million, four hundred thirty-three thousand, twenty-one".

Divisors: 1 3 11 23 33 41 69 123 253 443 451 759 943 1329 1353 2829 4873 10189 10373 14619 18163 30567 31119 54489 112079 199793 291113 336237 417749 599379 873339 1253247 3202243 4595239 6695599 9606729 11935633 13785717 20086797 35806899 73651589 128963059 131291963 220954767 274519559 386889177 393875889 823558677 1418593649 2966150357 3019715149 4255780947 5287485419 8898451071 9059145447 15862456257 32627653927 58162339609 97882961781 121612164637 174487018827 364836493911 1337733811007 4013201433021