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11130790932 = 2235311093389
BaseRepresentation
bin10100101110111001…
…00110010000010100
31001201201112202200000
422113130212100110
5140243440302212
65040255251300
7542555106342
oct122734462024
931651482600
1011130790932
1147a204aa78
1221a7819b30
13108505c131
147783d8992
154522c71dc
hex297726414

11130790932 has 144 divisors (see below), whose sum is σ = 30404774400. Its totient is φ = 3556586880.

The previous prime is 11130790889. The next prime is 11130790939. The reversal of 11130790932 is 23909703111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130790939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3282694 + ... + 3286082.

Almost surely, 211130790932 is an apocalyptic number.

11130790932 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 11130790932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202387200).

11130790932 is an abundant number, since it is smaller than the sum of its proper divisors (19273983468).

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

11130790932 is a wasteful number, since it uses less digits than its factorization.

11130790932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 11130790932 in words is "eleven billion, one hundred thirty million, seven hundred ninety thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 109 124 162 186 218 243 279 324 327 372 436 486 558 654 837 972 981 1116 1308 1674 1962 2511 2943 3348 3379 3389 3924 5022 5886 6758 6778 7533 8829 10044 10137 10167 11772 13516 13556 15066 17658 20274 20334 26487 30132 30411 30501 35316 40548 40668 52974 60822 61002 91233 91503 105059 105948 121644 122004 182466 183006 210118 273699 274509 315177 364932 366012 369401 420236 547398 549018 630354 738802 821097 823527 945531 1094796 1098036 1108203 1260708 1477604 1642194 1647054 1891062 2216406 2836593 3284388 3294108 3324609 3782124 4432812 5673186 6649218 8509779 9973827 11346372 11451431 13298436 17019558 19947654 22902862 25529337 29921481 34039116 34354293 39895308 45805724 51058674 59842962 68708586 89764443 102117348 103062879 119685924 137417172 179528886 206125758 309188637 359057772 412251516 618377274 927565911 1236754548 1855131822 2782697733 3710263644 5565395466 11130790932