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11013231332112 = 2434746571048261
BaseRepresentation
bin1010000001000011011110…
…1111011100101100010000
31102222212002000201222202220
42200100313233130230100
52420420044210111422
635231224132541040
72214452065512522
oct240206757345420
942885060658686
1011013231332112
113566759a77629
12129a530a81780
1361b70a700459
142a108691ba12
1514172d0a3e5c
hexa0437bdcb10

11013231332112 has 80 divisors (see below), whose sum is σ = 29062451764992. Its totient is φ = 3592194140160.

The previous prime is 11013231332083. The next prime is 11013231332167. The reversal of 11013231332112 is 21123313231011.

It is a super-3 number, since 3×110132313321123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9982062 + ... + 11030322.

Almost surely, 211013231332112 is an apocalyptic number.

11013231332112 is a gapful number since it is divisible by the number (12) 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 11013231332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14531225882496).

11013231332112 is an abundant number, since it is smaller than the sum of its proper divisors (18049220432880).

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

11013231332112 is a wasteful number, since it uses less digits than its factorization.

11013231332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052976 (or 1052970 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11013231332112 its reverse (21123313231011), we get a palindrome (32136544563123).

The spelling of 11013231332112 in words is "eleven trillion, thirteen billion, two hundred thirty-one million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 4657 9314 13971 18628 27942 37256 55884 74512 111768 218879 223536 437758 656637 875516 1048261 1313274 1751032 2096522 2626548 3144783 3502064 4193044 5253096 6289566 8386088 10506192 12579132 16772176 25158264 49268267 50316528 98536534 147804801 197073068 295609602 394146136 591219204 788292272 1182438408 2364876816 4881751477 9763502954 14645254431 19527005908 29290508862 39054011816 58581017724 78108023632 117162035448 229442319419 234324070896 458884638838 688326958257 917769277676 1376653916514 1835538555352 2753307833028 3671077110704 5506615666056 11013231332112