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11199331128 = 23317299111039
BaseRepresentation
bin10100110111000100…
…00011101100111000
31001220111111222010210
422123202003230320
5140414012044003
65051144311120
7544346513106
oct123342035470
931814458123
1011199331128
114827804267
1222067724a0
13109630936b
1478355ac76
15458315503
hex29b883b38

11199331128 has 128 divisors (see below), whose sum is σ = 30730752000. Its totient is φ = 3385374720.

The previous prime is 11199331103. The next prime is 11199331147. The reversal of 11199331128 is 82113399111.

It is a congruent number.

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, 10778433 + ... + 10779471.

It is an arithmetic number, because the mean of its divisors is an integer number (240084000).

Almost surely, 211199331128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11199331128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365376000).

11199331128 is an abundant number, since it is smaller than the sum of its proper divisors (19531420872).

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

11199331128 is a wasteful number, since it uses less digits than its factorization.

11199331128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2001 counting only the distinct ones).

The product of its digits is 11664, while the sum is 39.

The spelling of 11199331128 in words is "eleven billion, one hundred ninety-nine million, three hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 911 986 1039 1479 1822 1972 2078 2733 2958 3117 3644 3944 4156 5466 5916 6234 7288 8312 10932 11832 12468 15487 17663 21864 24936 26419 30131 30974 35326 46461 52838 52989 60262 61948 70652 79257 90393 92922 105676 105978 120524 123896 141304 158514 180786 185844 211352 211956 241048 317028 361572 371688 423912 449123 512227 634056 723144 898246 946529 1024454 1347369 1536681 1796492 1893058 2048908 2694738 2839587 3073362 3592984 3786116 4097816 5389476 5679174 6146724 7572232 10778952 11358348 12293448 16090993 22716696 27449341 32181986 48272979 54898682 64363972 82348023 96545958 109797364 128727944 164696046 193091916 219594728 329392092 386183832 466638797 658784184 933277594 1399916391 1866555188 2799832782 3733110376 5599665564 11199331128