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1103032203312 = 243135636834597
BaseRepresentation
bin10000000011010001110…
…101111011100000110000
310220110010012200122201010
4100003101311323200300
5121033002221001222
62202420452110520
7142456111013304
oct20032165734060
93813105618633
101103032203312
1139587aa17246
12159937305440
1380028056610
143b55c093d04
151da5bca680c
hex100d1d7b830

1103032203312 has 160 divisors (see below), whose sum is σ = 3079313411328. Its totient is φ = 338222066688.

The previous prime is 1103032203289. The next prime is 1103032203323. The reversal of 1103032203312 is 2133022303011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239943798 + ... + 239948394.

Almost surely, 21103032203312 is an apocalyptic number.

1103032203312 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 1103032203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539656705664).

1103032203312 is an abundant number, since it is smaller than the sum of its proper divisors (1976281208016).

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

1103032203312 is a wasteful number, since it uses less digits than its factorization.

1103032203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1103032203312 its reverse (2133022303011), we get a palindrome (3236054506323).

The spelling of 1103032203312 in words is "one trillion, one hundred three billion, thirty-two million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 563 624 683 1126 1366 1689 2049 2252 2732 3378 4098 4504 4597 5464 6756 7319 8196 8879 9008 9194 10928 13512 13791 14638 16392 17758 18388 21957 26637 27024 27582 29276 32784 35516 36776 43914 53274 55164 58552 59761 71032 73552 87828 106548 110328 117104 119522 142064 175656 179283 213096 220656 239044 351312 358566 384529 426192 478088 717132 769058 956176 1153587 1434264 1538116 2307174 2588111 2868528 3076232 3139751 4614348 4998877 5176222 6152464 6279502 7764333 9228696 9419253 9997754 10352444 12559004 14996631 15528666 18457392 18838506 19995508 20704888 25118008 29993262 31057332 33645443 37677012 39991016 40816763 41409776 50236016 59986524 62114664 67290886 75354024 79982032 81633526 100936329 119973048 122450289 124229328 134581772 150708048 163267052 201872658 239946096 244900578 269163544 326534104 403745316 489801156 538327088 653068208 807490632 979602312 1614981264 1767679813 1959204624 3535359626 5303039439 7070719252 10606078878 14141438504 21212157756 22979837569 28282877008 42424315512 45959675138 68939512707 84848631024 91919350276 137879025414 183838700552 275758050828 367677401104 551516101656 1103032203312