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1112033033320 = 2351167239157831
BaseRepresentation
bin10000001011101010010…
…101010111110001101000
310221022100111100012021111
4100023222111113301220
5121204420424031240
62210505543120104
7143225133552226
oct20135225276150
93838314305244
101112033033320
11399679725030
1215b629743034
1380b30a37631
143bb73643b16
151ddd70991ea
hex102ea557c68

1112033033320 has 128 divisors (see below), whose sum is σ = 2781883699200. Its totient is φ = 396670982400.

The previous prime is 1112033033219. The next prime is 1112033033341. The reversal of 1112033033320 is 233303302111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1112033033291 and 1112033033300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6966805 + ... + 7124635.

It is an arithmetic number, because the mean of its divisors is an integer number (21733466400).

Almost surely, 21112033033320 is an apocalyptic number.

1112033033320 is a gapful number since it is divisible by the number (10) 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 1112033033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390941849600).

1112033033320 is an abundant number, since it is smaller than the sum of its proper divisors (1669850665880).

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

1112033033320 is a wasteful number, since it uses less digits than its factorization.

1112033033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158159 (or 158155 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1112033033320 its reverse (233303302111), we get a palindrome (1345336335431).

The spelling of 1112033033320 in words is "one trillion, one hundred twelve billion, thirty-three million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 239 268 335 440 478 536 670 737 956 1195 1340 1474 1912 2390 2629 2680 2948 3685 4780 5258 5896 7370 9560 10516 13145 14740 16013 21032 26290 29480 32026 52580 64052 80065 105160 128104 157831 160130 176143 315662 320260 352286 631324 640520 704572 789155 880715 1262648 1409144 1578310 1736141 1761430 3156620 3472282 3522860 6313240 6944564 7045720 8680705 10574677 13889128 17361410 21149354 34722820 37721609 42298708 52873385 69445640 75443218 84597416 105746770 116321447 150886436 188608045 211493540 232642894 301772872 377216090 414937699 422987080 465285788 581607235 754432180 829875398 930571576 1163214470 1508864360 1659750796 2074688495 2326428940 2527347803 3319501592 4149376990 4652857880 5054695606 8298753980 10109391212 12636739015 16597507960 20218782424 25273478030 27800825833 50546956060 55601651666 101093912120 111203303332 139004129165 222406606664 278008258330 556016516660 1112033033320