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1010011000212 = 223245761391381
BaseRepresentation
bin11101011001010010101…
…10001100110110010100
310120120000101212221001200
432230221112030312110
5113022000304001322
62051554224552500
7132654004564404
oct16545126146624
93516011787050
101010011000212
1135a385973595
121438b6782730
1374322337bc6
1436c55c30804
151b4155988ac
hexeb2958cd94

1010011000212 has 36 divisors (see below), whose sum is σ = 2558670018996. Its totient is φ = 335933631360.

The previous prime is 1010011000211. The next prime is 1010011000247. The reversal of 1010011000212 is 2120001100101.

It is a happy number.

1010011000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 924205358736 + 85805641476 = 961356^2 + 292926^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010011000194 and 1010011000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011000211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30679239 + ... + 30712142.

Almost surely, 21010011000212 is an apocalyptic number.

1010011000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010011000212 is an abundant number, since it is smaller than the sum of its proper divisors (1548659018784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010011000212 is a wasteful number, since it uses less digits than its factorization.

1010011000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61391848 (or 61391843 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010011000212 its reverse (2120001100101), we get a palindrome (3130012100313).

The spelling of 1010011000212 in words is "one trillion, ten billion, eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 16452 61391381 122782762 184174143 245565524 368348286 552522429 736696572 1105044858 2210089716 28055861117 56111722234 84167583351 112223444468 168335166702 252502750053 336670333404 505005500106 1010011000212