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11012301192 = 2332341491991
BaseRepresentation
bin10100100000110001…
…00110000110001000
31001102110120212022010
422100120212012020
5140023122114232
65020423455520
7536616005244
oct122030460610
931373525263
1011012301192
11474117a972
122173bb75a0
131066643769
14766793424
15446bbe0cc
hex290626188

11012301192 has 128 divisors (see below), whose sum is σ = 29518110720. Its totient is φ = 3415104000.

The previous prime is 11012301173. The next prime is 11012301241. The reversal of 11012301192 is 29110321011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11111817 + ... + 11112807.

It is an arithmetic number, because the mean of its divisors is an integer number (230610240).

Almost surely, 211012301192 is an apocalyptic number.

11012301192 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 11012301192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759055360).

11012301192 is an abundant number, since it is smaller than the sum of its proper divisors (18505809528).

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

11012301192 is a wasteful number, since it uses less digits than its factorization.

11012301192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 11012301192 in words is "eleven billion, twelve million, three hundred one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 491 492 552 943 982 984 991 1473 1886 1964 1982 2829 2946 2973 3772 3928 3964 5658 5892 5946 7544 7928 11293 11316 11784 11892 20131 22586 22632 22793 23784 33879 40262 40631 45172 45586 60393 67758 68379 80524 81262 90344 91172 120786 121893 135516 136758 161048 162524 182344 241572 243786 271032 273516 325048 463013 483144 486581 487572 547032 926026 934513 973162 975144 1389039 1459743 1852052 1869026 1946324 2778078 2803539 2919486 3704104 3738052 3892648 5556156 5607078 5838972 7476104 11112312 11191363 11214156 11677944 19949821 22382726 22428312 33574089 39899642 44765452 59849463 67148178 79799284 89530904 119698926 134296356 159598568 239397852 268592712 458845883 478795704 917691766 1376537649 1835383532 2753075298 3670767064 5506150596 11012301192