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2335020133131 = 34731400133203
BaseRepresentation
bin100001111110101010000…
…010111010101100001011
322021020002120022222010000
4201332222002322230023
5301224110123230011
64544405441054043
7330461655436050
oct41765202725413
98236076288100
102335020133131
11820304a9a474
12318661627323
1313c26481583a
1481030a5d027
1540b14d97356
hex21faa0bab0b

2335020133131 has 80 divisors (see below), whose sum is σ = 4116165470208. Its totient is φ = 1290893760000.

The previous prime is 2335020133093. The next prime is 2335020133133. The reversal of 2335020133131 is 1313310205332.

2335020133131 is a `hidden beast` number, since 2 + 335 + 0 + 2 + 0 + 13 + 313 + 1 = 666.

2335020133131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2335020133131 - 214 = 2335020116747 is a prime.

It is a super-2 number, since 2×23350201331312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2335020133095 and 2335020133104.

It is not an unprimeable number, because it can be changed into a prime (2335020133133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70308976 + ... + 70342178.

Almost surely, 22335020133131 is an apocalyptic number.

2335020133131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2335020133131 is a deficient number, since it is larger than the sum of its proper divisors (1781145337077).

2335020133131 is a wasteful number, since it uses less digits than its factorization.

2335020133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37254 (or 37245 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 2335020133131 its reverse (1313310205332), we get a palindrome (3648330338463).

The spelling of 2335020133131 in words is "two trillion, three hundred thirty-five billion, twenty million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1953 2511 4001 5859 12003 17577 28007 33203 36009 84021 99609 108027 124031 232421 252063 298827 324081 372093 697263 756189 868217 896481 1029293 1116279 2091789 2268567 2604651 2689443 3087879 3348837 6275367 7205051 7813953 9263637 10046511 18826101 21615153 23441859 27790911 64845459 70325577 83372733 132845203 194536377 398535609 583609131 929916421 1195606827 2789749263 3586820481 4118201293 8369247789 10760461443 12354603879 25107743367 28827409051 37063811637 75323230101 86482227153 111191434911 259446681459 333574304733 778340044377 2335020133131