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1010022213001 = 176718116972887
BaseRepresentation
bin11101011001010100000…
…00111110010110001001
310120120001011222121010011
432230222000332112021
5113022011141304001
62051555305151521
7132654202104634
oct16545200762611
93516034877104
101010022213001
1135a39123195a
121438ba48b5a1
13743247627a9
1436c5750cc1b
151b416560d51
hexeb2a03e589

1010022213001 has 32 divisors (see below), whose sum is σ = 1092415064832. Its totient is φ = 930376212480.

The previous prime is 1010022212977. The next prime is 1010022213019. The reversal of 1010022213001 is 1003122200101.

It is a cyclic number.

It is not a de Polignac number, because 1010022213001 - 221 = 1010020115849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010022213061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349850380 + ... + 349853266.

It is an arithmetic number, because the mean of its divisors is an integer number (34137970776).

Almost surely, 21010022213001 is an apocalyptic number.

It is an amenable number.

1010022213001 is a deficient number, since it is larger than the sum of its proper divisors (82392851831).

1010022213001 is a wasteful number, since it uses less digits than its factorization.

1010022213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1010022213001 its reverse (1003122200101), we get a palindrome (2013144413102).

The spelling of 1010022213001 in words is "one trillion, ten billion, twenty-two million, two hundred thirteen thousand, one".

Divisors: 1 17 67 181 1139 1697 2887 3077 12127 28849 49079 113699 193429 206159 307157 522547 1932883 3288293 4899239 5221669 8883299 20579519 35010649 83287063 328249013 349851823 595181033 886762259 5580233221 15074958403 59413071353 1010022213001