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3220112212100 = 2252767359191251
BaseRepresentation
bin101110110110111101101…
…001010000000010000100
3102101211200011020012020222
4232312331221100002010
5410224242211241400
610503144340043512
7451434245122010
oct56667551200204
912354604205228
103220112212100
111031707439573
124400b5093598
131a4869854ba4
14b1bd614d540
1558b686ec185
hex2edbda50084

3220112212100 has 144 divisors (see below), whose sum is σ = 8127689794560. Its totient is φ = 1084525200000.

The previous prime is 3220112212081. The next prime is 3220112212151. The reversal of 3220112212100 is 12122110223.

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 47 ways as a sum of consecutive naturals, for example, 16741475 + ... + 16932725.

It is an arithmetic number, because the mean of its divisors is an integer number (56442290240).

Almost surely, 23220112212100 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 3220112212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063844897280).

3220112212100 is an abundant number, since it is smaller than the sum of its proper divisors (4907577582460).

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

3220112212100 is a wasteful number, since it uses less digits than its factorization.

3220112212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191698 (or 191691 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 3220112212100 its reverse (12122110223), we get a palindrome (3232234322323).

The spelling of 3220112212100 in words is "three trillion, two hundred twenty billion, one hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 359 469 670 700 718 938 1340 1436 1675 1795 1876 2345 2513 3350 3590 4690 5026 6700 7180 8975 9380 10052 11725 12565 17950 23450 24053 25130 35900 46900 48106 50260 62825 96212 120265 125650 168371 191251 240530 251300 336742 382502 481060 601325 673484 765004 841855 956255 1202650 1338757 1683710 1912510 2405300 2677514 3367420 3825020 4209275 4781275 5355028 6693785 8418550 9562550 12813817 13387570 16837100 19125100 25627634 26775140 33468925 51255268 64069085 66937850 68659109 89696719 128138170 133875700 137318218 179393438 256276340 274636436 320345425 343295545 358786876 448483595 480613763 640690850 686591090 896967190 961227526 1281381700 1373182180 1716477725 1793934380 1922455052 2242417975 2403068815 3432955450 4484835950 4600160303 4806137630 6865910900 8969671900 9200320606 9612275260 12015344075 18400641212 23000801515 24030688150 32201122121 46001603030 48061376300 64402244242 92003206060 115004007575 128804488484 161005610605 230008015150 322011221210 460016030300 644022442420 805028053025 1610056106050 3220112212100