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13211113332 = 2236729356081
BaseRepresentation
bin11000100110111000…
…11001011101110100
31021002201001002111210
430103130121131310
5204024021111312
610022532001420
7645245416254
oct142334313564
937081032453
1013211113332
11566a368a8a
122688460270
13132704a531
148d4801964
15524c53e3c
hex313719774

13211113332 has 48 divisors (see below), whose sum is σ = 31393357632. Its totient is φ = 4323095040.

The previous prime is 13211113277. The next prime is 13211113339. The reversal of 13211113332 is 23331111231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13211113299 and 13211113308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211113339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207532 + ... + 263612.

It is an arithmetic number, because the mean of its divisors is an integer number (654028284).

Almost surely, 213211113332 is an apocalyptic number.

13211113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13211113332 is an abundant number, since it is smaller than the sum of its proper divisors (18182244300).

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

13211113332 is a wasteful number, since it uses less digits than its factorization.

13211113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56448 (or 56446 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 13211113332 its reverse (23331111231), we get a palindrome (36542224563).

The spelling of 13211113332 in words is "thirteen billion, two hundred eleven million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 67 134 201 268 293 402 586 804 879 1172 1758 3516 19631 39262 56081 58893 78524 112162 117786 168243 224324 235572 336486 672972 3757427 7514854 11272281 15029708 16431733 22544562 32863466 45089124 49295199 65726932 98590398 197180796 1100926111 2201852222 3302778333 4403704444 6605556666 13211113332