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111143021952 = 2731994333359
BaseRepresentation
bin110011110000010100…
…0111110110110000000
3101121212202012111201110
41213200220332312000
53310110103200302
6123020340403320
711013141045654
oct1474050766600
9347782174643
10111143021952
114315437a456
12196596a6540
13a633261a61
145544d20a64
152d5762ab6c
hex19e0a3ed80

111143021952 has 128 divisors (see below), whose sum is σ = 297480960000. Its totient is φ = 36765425664.

The previous prime is 111143021939. The next prime is 111143021987. The reversal of 111143021952 is 259120341111.

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

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, 33086449 + ... + 33089807.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070000).

Almost surely, 2111143021952 is an apocalyptic number.

111143021952 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 111143021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480000).

111143021952 is an abundant number, since it is smaller than the sum of its proper divisors (186337938048).

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

111143021952 is a wasteful number, since it uses less digits than its factorization.

111143021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 111143021952 in words is "one hundred eleven billion, one hundred forty-three million, twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 433 597 796 866 1194 1299 1592 1732 2388 2598 3184 3359 3464 4776 5196 6368 6718 6928 9552 10077 10392 12736 13436 13856 19104 20154 20784 25472 26872 27712 38208 40308 41568 53744 55424 76416 80616 83136 86167 107488 161232 166272 172334 214976 258501 322464 344668 429952 517002 644928 668441 689336 1034004 1289856 1336882 1378672 1454447 2005323 2068008 2673764 2757344 2908894 4010646 4136016 4363341 5347528 5514688 5817788 8021292 8272032 8726682 10695056 11029376 11635576 16042584 16544064 17453364 21390112 23271152 32085168 33088128 34906728 42780224 46542304 64170336 69813456 85560448 93084608 128340672 139626912 186169216 256681344 279253824 289434953 558507648 578869906 868304859 1157739812 1736609718 2315479624 3473219436 4630959248 6946438872 9261918496 13892877744 18523836992 27785755488 37047673984 55571510976 111143021952