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270021161007 = 33131940489003
BaseRepresentation
bin1111101101111010000…
…0111111000000101111
3221210222020110012211000
43323132200333000233
513411000404123012
6324013534331343
725336242666363
oct3733640770057
9853866405730
10270021161007
11a45739a6904
12443b9659b53
131c602c65520
14d0d78452a3
157055864ddc
hex3ede83f02f

270021161007 has 32 divisors (see below), whose sum is σ = 453476844800. Its totient is φ = 157421239776.

The previous prime is 270021160987. The next prime is 270021161009. The reversal of 270021161007 is 700161120072.

270021161007 is a `hidden beast` number, since 27 + 0 + 0 + 21 + 1 + 610 + 0 + 7 = 666.

It is not a de Polignac number, because 270021161007 - 210 = 270021159983 is a prime.

It is a super-2 number, since 2×2700211610072 (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270021161009) 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 31 ways as a sum of consecutive naturals, for example, 20237833 + ... + 20251170.

It is an arithmetic number, because the mean of its divisors is an integer number (14171151400).

Almost surely, 2270021161007 is an apocalyptic number.

270021161007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

270021161007 is a deficient number, since it is larger than the sum of its proper divisors (183455683793).

270021161007 is a wasteful number, since it uses less digits than its factorization.

270021161007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40489044 (or 40489038 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 270021161007 its reverse (700161120072), we get a palindrome (970182281079).

The spelling of 270021161007 in words is "two hundred seventy billion, twenty-one million, one hundred sixty-one thousand, seven".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 40489003 121467009 364401027 526357039 769291057 1093203081 1579071117 2307873171 4737213351 6923619513 10000783741 14211640053 20770858539 30002351223 90007053669 270021161007