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11200310044 = 227211311131483
BaseRepresentation
bin10100110111001011…
…10010101100011100
31001220120100200221221
422123211302230130
5140414234410134
65051221303124
7544361031100
oct123345625434
931816320857
1011200310044
114828312790
122206b64aa4
13109658cac1
14783733900
1545845a5b4
hex29b972b1c

11200310044 has 144 divisors (see below), whose sum is σ = 25920470016. Its totient is φ = 4182796800.

The previous prime is 11200310041. The next prime is 11200310053. The reversal of 11200310044 is 44001300211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200310041) 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, 7551727 + ... + 7553209.

It is an arithmetic number, because the mean of its divisors is an integer number (180003264).

Almost surely, 211200310044 is an apocalyptic number.

11200310044 is a gapful number since it is divisible by the number (14) 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 11200310044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960235008).

11200310044 is an abundant number, since it is smaller than the sum of its proper divisors (14720159972).

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

11200310044 is a wasteful number, since it uses less digits than its factorization.

11200310044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11200310044 its reverse (44001300211), we get a palindrome (55201610255).

The spelling of 11200310044 in words is "eleven billion, two hundred million, three hundred ten thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 113 124 154 196 217 226 308 341 434 452 539 682 791 868 1078 1243 1364 1483 1519 1582 2156 2387 2486 2966 3038 3164 3503 4774 4972 5537 5932 6076 7006 8701 9548 10381 11074 14012 16313 16709 17402 20762 22148 24521 32626 33418 34804 38533 41524 45973 49042 60907 65252 66836 72667 77066 91946 98084 114191 121814 145334 154132 167579 171647 183892 228382 243628 269731 290668 321811 335158 343294 456764 505703 539462 643622 670316 686588 799337 1011406 1078924 1173053 1287244 1598674 1843369 1888117 2022812 2252677 2346106 3197348 3539921 3686738 3776234 4505354 4692212 5194949 7079842 7373476 7552468 8211371 9010708 10389898 12903583 14159684 16422742 20779796 24779447 25807166 32845484 36364643 49558894 51614332 57144439 72729286 90325081 99117788 114288878 145458572 180650162 228577756 254552501 361300324 400011073 509105002 800022146 1018210004 1600044292 2800077511 5600155022 11200310044