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11013023112 = 23371310874639
BaseRepresentation
bin10100100000110110…
…10110010110001000
31001102111221112120220
422100123112112020
5140023313214422
65020451150040
7536625103050
oct122033262610
931374845526
1011013023112
1147416232a3
1221742a5320
131066837230
14766900560
15446cb2e5c
hex2906d6588

11013023112 has 128 divisors (see below), whose sum is σ = 33924710400. Its totient is φ = 2901235968.

The previous prime is 11013023083. The next prime is 11013023123. The reversal of 11013023112 is 21132031011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11013023091 and 11013023100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2371689 + ... + 2376327.

It is an arithmetic number, because the mean of its divisors is an integer number (265036800).

Almost surely, 211013023112 is an apocalyptic number.

11013023112 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 11013023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962355200).

11013023112 is an abundant number, since it is smaller than the sum of its proper divisors (22911687288).

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

11013023112 is a wasteful number, since it uses less digits than its factorization.

11013023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11013023112 its reverse (21132031011), we get a palindrome (32145054123).

The spelling of 11013023112 in words is "eleven billion, thirteen million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1087 1092 2174 2184 3261 4348 4639 6522 7609 8696 9278 13044 13917 14131 15218 18556 22827 26088 27834 28262 30436 32473 37112 42393 45654 55668 56524 60307 60872 64946 84786 91308 97419 98917 111336 113048 120614 129892 169572 180921 182616 194838 197834 241228 259784 296751 339144 361842 389676 395668 422149 482456 593502 723684 779352 791336 844298 1187004 1266447 1447368 1688596 2374008 2532894 3377192 5042593 5065788 10085186 10131576 15127779 20170372 30255558 35298151 40340744 60511116 65553709 70596302 105894453 121022232 131107418 141192604 196661127 211788906 262214836 282385208 393322254 423577812 458875963 524429672 786644508 847155624 917751926 1376627889 1573289016 1835503852 2753255778 3671007704 5506511556 11013023112