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1101002313213 = 321183874115329
BaseRepresentation
bin10000000001011000110…
…110100000110111111101
310220020212202002112222100
4100001120312200313331
5121014323043010323
62201443220335313
7142354602151335
oct20013066406775
93806782075870
101101002313213
11394a29114820
1215946b544539
137ca9364530a
143b4086580c5
151d98d98c943
hex10058da0dfd

1101002313213 has 48 divisors (see below), whose sum is σ = 1756130725440. Its totient is φ = 659116262400.

The previous prime is 1101002313209. The next prime is 1101002313277. The reversal of 1101002313213 is 3123132001011.

1101002313213 is a `hidden beast` number, since 1 + 10 + 100 + 231 + 321 + 3 = 666.

It is not a de Polignac number, because 1101002313213 - 22 = 1101002313209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101002313913) 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 47 ways as a sum of consecutive naturals, for example, 71817133 + ... + 71832461.

It is an arithmetic number, because the mean of its divisors is an integer number (36586056780).

Almost surely, 21101002313213 is an apocalyptic number.

It is an amenable number.

1101002313213 is a deficient number, since it is larger than the sum of its proper divisors (655128412227).

1101002313213 is a wasteful number, since it uses less digits than its factorization.

1101002313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24170 (or 24167 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1101002313213 its reverse (3123132001011), we get a palindrome (4224134314224).

The spelling of 1101002313213 in words is "one trillion, one hundred one billion, two million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 8741 15329 26223 45987 78669 96151 137961 168619 288453 505857 725503 865359 1272307 1517571 2176509 3816921 6529527 7980533 11450763 13995377 23941599 41986131 71824797 125958393 133990789 401972367 1205917101 1473898679 4421696037 11121235487 13265088111 33363706461 100091119383 122333590357 367000771071 1101002313213