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6112100320 = 255297118553
BaseRepresentation
bin1011011000100111…
…10011111111100000
3120202221222212101221
411230103303333200
5100004144202240
62450255304424
7304314665314
oct55423637740
916687885357
106112100320
112657137487
121226b1b114
13765388111
1441da6db44
1525b8cca4a
hex16c4f3fe0

6112100320 has 96 divisors (see below), whose sum is σ = 15148969920. Its totient is φ = 2327162880.

The previous prime is 6112100317. The next prime is 6112100333. The reversal of 6112100320 is 230012116.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 6112100294 and 6112100303.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 320164 + ... + 338716.

It is an arithmetic number, because the mean of its divisors is an integer number (157801770).

Almost surely, 26112100320 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 6112100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574484960).

6112100320 is an abundant number, since it is smaller than the sum of its proper divisors (9036869600).

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

6112100320 is a wasteful number, since it uses less digits than its factorization.

6112100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18668 (or 18660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 6112100320 is about 78179.9227423512. The cubic root of 6112100320 is about 1828.3674931140.

Adding to 6112100320 its reverse (230012116), we get a palindrome (6342112436).

The spelling of 6112100320 in words is "six billion, one hundred twelve million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 71 80 116 142 145 160 232 284 290 355 464 568 580 710 928 1136 1160 1420 2059 2272 2320 2840 4118 4640 5680 8236 10295 11360 16472 18553 20590 32944 37106 41180 65888 74212 82360 92765 148424 164720 185530 296848 329440 371060 538037 593696 742120 1076074 1317263 1484240 2152148 2634526 2690185 2968480 4304296 5269052 5380370 6586315 8608592 10538104 10760740 13172630 17217184 21076208 21521480 26345260 38200627 42152416 43042960 52690520 76401254 86085920 105381040 152802508 191003135 210762080 305605016 382006270 611210032 764012540 1222420064 1528025080 3056050160 6112100320