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412133130313011 = 3337606896797701
BaseRepresentation
bin101110110110101010011100…
…0110101010001110100110011
32000001020112122110111211202000
41131231110320311101310303
5413004342122330004021
64020311202445425043
7152544431111641242
oct13555247065216463
92001215573454660
10412133130313011
1110a355751856078
123a2821b356b183
13148c6cab4c1783
1473ab4c833a959
15329a7ddae7b26
hex176d538d51d33

412133130313011 has 32 divisors (see below), whose sum is σ = 627079852257600. Its totient is φ = 267325153804800.

The previous prime is 412133130312991. The next prime is 412133130313039. The reversal of 412133130313011 is 110313031331214.

412133130313011 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 331 + 3 + 0 + 313 + 0 + 11 = 666.

It is not a de Polignac number, because 412133130313011 - 25 = 412133130312979 is a prime.

It is a super-2 number, since 2×4121331303130112 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (412133130312011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57229461 + ... + 64027161.

It is an arithmetic number, because the mean of its divisors is an integer number (19596245383050).

Almost surely, 2412133130313011 is an apocalyptic number.

412133130313011 is a deficient number, since it is larger than the sum of its proper divisors (214946721944589).

412133130313011 is a wasteful number, since it uses less digits than its factorization.

412133130313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858436 (or 6858430 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 412133130313011 its reverse (110313031331214), we get a palindrome (522446161644225).

The spelling of 412133130313011 in words is "four hundred twelve trillion, one hundred thirty-three billion, one hundred thirty million, three hundred thirteen thousand, eleven".

Divisors: 1 3 9 27 37 111 333 999 60689 182067 546201 1638603 2245493 6736479 6797701 20209437 20393103 60628311 61179309 183537927 251514937 754544811 2263634433 6790903299 412545675989 1237637027967 3712911083901 11138733251703 15264190011593 45792570034779 137377710104337 412133130313011