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13311213100 = 225247260259
BaseRepresentation
bin11000110010110100…
…01111111000101100
31021100200101200120121
430121122033320230
5204230132304400
610040505254324
7650602305313
oct143132177054
937320350517
1013311213100
115710918469
1226b5a943a4
1313419c7573
14903c1b27a
1552d92821a
hex31968fe2c

13311213100 has 54 divisors (see below), whose sum is σ = 29513479940. Its totient is φ = 5211111840.

The previous prime is 13311213031. The next prime is 13311213169. The reversal of 13311213100 is 131211331.

It is an interprime number because it is at equal distance from previous prime (13311213031) and next prime (13311213169).

It is a super-2 number, since 2×133112131002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190771 + ... + 251029.

Almost surely, 213311213100 is an apocalyptic number.

13311213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756739970).

13311213100 is an abundant number, since it is smaller than the sum of its proper divisors (16202266840).

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

13311213100 is a wasteful number, since it uses less digits than its factorization.

13311213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60367 (or 60313 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13311213100 its reverse (131211331), we get a palindrome (13442424431).

The spelling of 13311213100 in words is "thirteen billion, three hundred eleven million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2209 2350 4418 4700 8836 11045 22090 44180 55225 60259 110450 120518 220900 241036 301295 602590 1205180 1506475 2832173 3012950 5664346 6025900 11328692 14160865 28321730 56643460 70804325 133112131 141608650 266224262 283217300 532448524 665560655 1331121310 2662242620 3327803275 6655606550 13311213100