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1010012202211 = 17312132746589
BaseRepresentation
bin11101011001010010110…
…10110010010011100011
310120120000111010222220011
432230221122302103203
5113022001110432321
62051554310425351
7132654021031645
oct16545132622343
93516014128804
101010012202211
1135a386614681
121438b7062257
137432266904c
1436c56064895
151b415734ae1
hexeb296b24e3

1010012202211 has 24 divisors (see below), whose sum is σ = 1105891548480. Its totient is φ = 919222237440.

The previous prime is 1010012202209. The next prime is 1010012202229. The reversal of 1010012202211 is 1122022100101.

It is not a de Polignac number, because 1010012202211 - 21 = 1010012202209 is a prime.

It is a super-2 number, since 2×10100122022112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010012202191 and 1010012202200.

It is not an unprimeable number, because it can be changed into a prime (1010012202271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21655905 + ... + 21702493.

It is an arithmetic number, because the mean of its divisors is an integer number (46078814520).

Almost surely, 21010012202211 is an apocalyptic number.

1010012202211 is a deficient number, since it is larger than the sum of its proper divisors (95879346269).

1010012202211 is a wasteful number, since it uses less digits than its factorization.

1010012202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47995 (or 47964 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010012202211 its reverse (1122022100101), we get a palindrome (2132034302312).

The spelling of 1010012202211 in words is "one trillion, ten billion, twelve million, two hundred two thousand, two hundred eleven".

Divisors: 1 17 31 527 961 1327 16337 22559 41137 46589 699329 792013 1275247 1444259 21679199 24552403 44772029 61823603 761124493 1051001251 1916531693 32581038781 59412482483 1010012202211