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1122133031000 = 235343131199207
BaseRepresentation
bin10000010101000100010…
…101110011100001011000
310222021102101021020102122
4100111010111303201120
5121341112023443000
62215300101120412
7144033334246502
oct20250425634130
93867371236378
101122133031000
113a2991929853
121615880b9108
1381a80367517
143c450b96d72
151e2c8b0b085
hex10544573858

1122133031000 has 128 divisors (see below), whose sum is σ = 2707380149760. Its totient is φ = 435065904000.

The previous prime is 1122133030961. The next prime is 1122133031039. The reversal of 1122133031000 is 1303312211.

It is an interprime number because it is at equal distance from previous prime (1122133030961) and next prime (1122133031039).

It is a super-2 number, since 2×11221330310002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1122133031000.

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, 5533397 + ... + 5732603.

It is an arithmetic number, because the mean of its divisors is an integer number (21151407420).

Almost surely, 21122133031000 is an apocalyptic number.

1122133031000 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 1122133031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353690074880).

1122133031000 is an abundant number, since it is smaller than the sum of its proper divisors (1585247118760).

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

1122133031000 is a wasteful number, since it uses less digits than its factorization.

1122133031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199402 (or 199388 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1122133031000 its reverse (1303312211), we get a palindrome (1123436343211).

The spelling of 1122133031000 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 131 172 200 215 250 262 344 430 500 524 655 860 1000 1048 1075 1310 1720 2150 2620 3275 4300 5240 5375 5633 6550 8600 10750 11266 13100 16375 21500 22532 26200 28165 32750 43000 45064 56330 65500 112660 131000 140825 199207 225320 281650 398414 563300 704125 796828 996035 1126600 1408250 1593656 1992070 2816500 3984140 4980175 5633000 7968280 8565901 9960350 17131802 19920700 24900875 26096117 34263604 39841400 42829505 49801750 52192234 68527208 85659010 99603500 104384468 130480585 171318020 199207000 208768936 214147525 260961170 342636040 428295050 521922340 652402925 856590100 1043844680 1070737625 1122133031 1304805850 1713180200 2141475250 2244266062 2609611700 3262014625 4282950500 4488532124 5219223400 5610665155 6524029250 8565901000 8977064248 11221330310 13048058500 22442660620 26096117000 28053325775 44885321240 56106651550 112213303100 140266628875 224426606200 280533257750 561066515500 1122133031000