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101213122213 = 7232395874481
BaseRepresentation
bin101111001000011000…
…1011010111010100101
3100200020201100100002001
41132100301122322211
53124241024402323
6114255140245301
710212104225650
oct1362061327245
9320221310061
10101213122213
1139a19194845
12177480a0831
13970cc49938
144c82208897
1529759b83ad
hex1790c5aea5

101213122213 has 32 divisors (see below), whose sum is σ = 121439969280. Its totient is φ = 82475796480.

The previous prime is 101213122187. The next prime is 101213122229. The reversal of 101213122213 is 312221312101.

It is not a de Polignac number, because 101213122213 - 233 = 92623187621 is a prime.

It is a super-2 number, since 2×1012131222132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213122273) 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, 22584933 + ... + 22589413.

It is an arithmetic number, because the mean of its divisors is an integer number (3794999040).

Almost surely, 2101213122213 is an apocalyptic number.

It is an amenable number.

101213122213 is a deficient number, since it is larger than the sum of its proper divisors (20226847067).

101213122213 is a wasteful number, since it uses less digits than its factorization.

101213122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101213122213 its reverse (312221312101), we get a palindrome (413434434314).

The spelling of 101213122213 in words is "one hundred one billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 7 23 161 239 587 1673 4109 4481 5497 13501 31367 38479 94507 103063 140293 721441 982051 1070959 2630347 3226739 7496713 18412429 22587173 24632057 60497981 172424399 423485867 628652933 4400570531 14459017459 101213122213