Search a number
-
+
1201003102112 = 251123111938387
BaseRepresentation
bin10001011110100001010…
…111001111111110100000
311020210222222012222101112
4101132201113033332200
5124134123243231422
62315422212322452
7152524655634002
oct21364127177640
94223888188345
101201003102112
11423384a39600
12174919613428
138933c36cb58
14421b3842372
1521392cd0ee2
hex117a15cffa0

1201003102112 has 144 divisors (see below), whose sum is σ = 2685374850816. Its totient is φ = 527794713600.

The previous prime is 1201003102109. The next prime is 1201003102121. The reversal of 1201003102112 is 2112013001021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143193983 + ... + 143202369.

It is an arithmetic number, because the mean of its divisors is an integer number (18648436464).

Almost surely, 21201003102112 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 1201003102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342687425408).

1201003102112 is an abundant number, since it is smaller than the sum of its proper divisors (1484371748704).

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

1201003102112 is a wasteful number, since it uses less digits than its factorization.

1201003102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9643 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1201003102112 its reverse (2112013001021), we get a palindrome (3313016103133).

The spelling of 1201003102112 in words is "one trillion, two hundred one billion, three million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 242 248 341 352 484 496 682 968 992 1193 1364 1936 2386 2728 3751 3872 4772 5456 7502 8387 9544 10912 13123 15004 16774 19088 26246 30008 33548 36983 38176 52492 60016 67096 73966 92257 104984 120032 134192 144353 147932 184514 209968 259997 268384 288706 295864 369028 406813 419936 519994 577412 591728 738056 813626 1014827 1039988 1154824 1183456 1476112 1627252 2029654 2079976 2309648 2859967 2952224 3254504 4059308 4159952 4474943 4619296 5719934 6509008 8118616 8319904 8949886 10005691 11439868 13018016 16237232 17899772 20011382 22879736 31459637 32474464 35799544 40022764 45759472 62919274 71599088 80045528 91518944 110062601 125838548 143198176 160091056 220125202 251677096 310176421 320182112 440250404 503354192 620352842 880500808 1006708384 1210688611 1240705684 1761001616 2421377222 2481411368 3411940631 3522003232 4842754444 4962822736 6823881262 9685508888 9925645472 13647762524 19371017776 27295525048 37531346941 38742035552 54591050096 75062693882 109182100192 150125387764 300250775528 600501551056 1201003102112