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3322111103120 = 245294779385657
BaseRepresentation
bin110000010101111101010…
…000001001000010010000
3102202120221122010201111102
4300111331100021002100
5413412140420244440
611022053510203532
7462005003313065
oct60257520110220
912676848121442
103322111103120
111070999124017
12457a203535a8
131b1373510c84
14b6b1085ac6c
155b63817ab15
hex3057d409090

3322111103120 has 160 divisors (see below), whose sum is σ = 8263571097600. Its totient is φ = 1239825420288.

The previous prime is 3322111103107. The next prime is 3322111103123. The reversal of 3322111103120 is 213011112233.

It is a happy number.

It is a super-2 number, since 2×33221111031202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3322111103092 and 3322111103101.

It is not an unprimeable number, because it can be changed into a prime (3322111103123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8421332 + ... + 8806988.

It is an arithmetic number, because the mean of its divisors is an integer number (51647319360).

Almost surely, 23322111103120 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 3322111103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131785548800).

3322111103120 is an abundant number, since it is smaller than the sum of its proper divisors (4941459994480).

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

3322111103120 is a wasteful number, since it uses less digits than its factorization.

3322111103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385825 (or 385819 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3322111103120 its reverse (213011112233), we get a palindrome (3535122215353).

The spelling of 3322111103120 in words is "three trillion, three hundred twenty-two billion, one hundred eleven million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 47 58 79 80 94 116 145 158 188 232 235 290 316 376 395 464 470 580 632 752 790 940 1160 1264 1363 1580 1880 2291 2320 2726 3160 3713 3760 4582 5452 6320 6815 7426 9164 10904 11455 13630 14852 18328 18565 21808 22910 27260 29704 36656 37130 45820 54520 59408 74260 91640 107677 109040 148520 183280 215354 297040 385657 430708 538385 771314 861416 1076770 1542628 1722832 1928285 2153540 3085256 3856570 4307080 6170512 7713140 8614160 11184053 15426280 18125879 22368106 30466903 30852560 36251758 44736212 55920265 60933806 72503516 89472424 90629395 111840530 121867612 145007032 152334515 178944848 181258790 223681060 243735224 290014064 304669030 362517580 447362120 487470448 525650491 609338060 725035160 883540187 894724240 1051300982 1218676120 1431944441 1450070320 1767080374 2102601964 2437352240 2628252455 2863888882 3534160748 4205203928 4417700935 5256504910 5727777764 7068321496 7159722205 8410407856 8835401870 10513009820 11455555528 14136642992 14319444410 17670803740 21026019640 22911111056 28638888820 35341607480 41526388789 42052039280 57277777640 70683214960 83052777578 114555555280 166105555156 207631943945 332211110312 415263887890 664422220624 830527775780 1661055551560 3322111103120