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1110200202112 = 27471996011543
BaseRepresentation
bin10000001001111101000…
…101101011001110000000
310221010121202112201112011
4100021331011223032000
5121142142222431422
62210004031142304
7143131540005061
oct20117505531600
93833552481464
101110200202112
113989190868a1
1215b1b7974994
13808cb0c0a21
143ba3c062568
151dd2b208077
hex1027d16b380

1110200202112 has 128 divisors (see below), whose sum is σ = 2275386624000. Its totient is φ = 539310182400.

The previous prime is 1110200202101. The next prime is 1110200202121. The reversal of 1110200202112 is 2112020020111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1110200202092 and 1110200202101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 719506813 + ... + 719508355.

It is an arithmetic number, because the mean of its divisors is an integer number (17776458000).

Almost surely, 21110200202112 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 1110200202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137693312000).

1110200202112 is an abundant number, since it is smaller than the sum of its proper divisors (1165186421888).

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

1110200202112 is a wasteful number, since it uses less digits than its factorization.

1110200202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1110200202112 its reverse (2112020020111), we get a palindrome (3222220222223).

The spelling of 1110200202112 in words is "one trillion, one hundred ten billion, two hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 199 376 398 601 752 796 1202 1504 1543 1592 2404 3008 3086 3184 4808 6016 6172 6368 9353 9616 12344 12736 18706 19232 24688 25472 28247 37412 38464 49376 56494 72521 74824 76928 98752 112988 119599 145042 149648 197504 225976 239198 290084 299296 307057 451952 478396 580168 598592 614114 903904 927343 956792 1160336 1197184 1228228 1807808 1854686 1913584 2320672 2456456 3615616 3709372 3827168 4641344 4912912 5621153 7418744 7654336 9282688 9825824 11242306 14431679 14837488 15308672 19651648 22484612 28863358 29674976 39303296 43585121 44969224 57726716 59349952 87170242 89938448 115453432 118699904 174340484 179876896 184541257 230906864 348680968 359753792 369082514 461813728 697361936 719507584 738165028 923627456 1394723872 1476330056 1847254912 2789447744 2952660112 5578895488 5905320224 8673439079 11810640448 17346878158 23621280896 34693756316 69387512632 138775025264 277550050528 555100101056 1110200202112