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112210020010221 = 37672412577431733
BaseRepresentation
bin11001100000110111101110…
…011000100000100011101101
3112201022011200020002120120020
4121200313232120200203231
5104201422110110311341
61034352323242312353
732430622620614460
oct3140675630404355
9481264606076506
10112210020010221
1132832002a94161
12107030787b86b9
134a7c489a2a113
141d9cdcb5632d7
15ce8c90676566
hex660dee6208ed

112210020010221 has 128 divisors (see below), whose sum is σ = 175273392070656. Its totient is φ = 62535723909120.

The previous prime is 112210020010211. The next prime is 112210020010241. The reversal of 112210020010221 is 122010020012211.

It is a de Polignac number, because none of the positive numbers 2k-112210020010221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112210020010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210020010211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64749000871 + ... + 64749002603.

It is an arithmetic number, because the mean of its divisors is an integer number (1369323375552).

Almost surely, 2112210020010221 is an apocalyptic number.

It is an amenable number.

112210020010221 is a deficient number, since it is larger than the sum of its proper divisors (63063372060435).

112210020010221 is a wasteful number, since it uses less digits than its factorization.

112210020010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112210020010221 its reverse (122010020012211), we get a palindrome (234220040022432).

The spelling of 112210020010221 in words is "one hundred twelve trillion, two hundred ten billion, twenty million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 21 67 201 241 257 469 723 743 771 1407 1687 1733 1799 2229 5061 5199 5201 5397 12131 15603 16147 17219 36393 48441 49781 51657 61937 113029 116111 120533 149343 179063 185811 190951 339087 348333 348467 361599 417653 433559 445381 537189 572853 812777 1045401 1252959 1253441 1287619 1300677 1336143 1336657 2438331 2923571 3117667 3760323 3862857 4009971 4149779 8770713 9013333 9353001 11997221 12449337 12793717 27039999 27982751 29048453 29840527 35991663 38381151 46019191 83948253 83980547 86270473 87145359 89521581 89556019 107336821 138057573 195879257 208883689 251941641 258811419 268668057 310316179 322010463 322134337 330918083 587637771 603893311 626651067 751357747 930948537 966403011 992754249 1811679933 2172213253 2254073241 2316426581 3083285797 6516639759 6949279743 7191567007 9249857391 20791183993 21574701021 21583000579 22171511561 50340969049 62373551979 64749001737 66514534683 79751258003 145538287951 151022907147 155200580927 239253774009 436614863853 465601742781 558258806021 1674776418063 5343334286201 16030002858603 37403340003407 112210020010221