Search a number
-
+
222121201010002 = 27323431093003607
BaseRepresentation
bin110010100000010010011111…
…010010001000010101010010
31002010110120122102000122200121
4302200102133102020111102
5213103213204424310002
62104225023202540454
764533504266413000
oct6240223722102522
91063416572018617
10222121201010002
1164858088311938
1220ab46b096772a
1396c2c29a7a438
143cbca1b38ba70
151aa2d37543237
hexca049f488552

222121201010002 has 128 divisors (see below), whose sum is σ = 418678926336000. Its totient is φ = 88122339885888.

The previous prime is 222121201009993. The next prime is 222121201010003. The reversal of 222121201010002 is 200010102121222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (222121201010003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 72449683 + ... + 75453289.

It is an arithmetic number, because the mean of its divisors is an integer number (3270929112000).

Almost surely, 2222121201010002 is an apocalyptic number.

222121201010002 is a deficient number, since it is larger than the sum of its proper divisors (196557725325998).

222121201010002 is a wasteful number, since it uses less digits than its factorization.

222121201010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003805 (or 3003791 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222121201010002 its reverse (200010102121222), we get a palindrome (422131303131224).

The spelling of 222121201010002 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred one million, ten thousand, two".

Divisors: 1 2 7 14 23 43 46 49 86 98 109 161 218 301 322 343 602 686 763 989 1127 1526 1978 2107 2254 2507 4214 4687 5014 5341 6923 7889 9374 10682 13846 14749 15778 17549 29498 32809 35098 37387 48461 65618 74774 96922 107801 122843 215602 229663 245686 339227 459326 678454 754607 859901 1509214 1607641 1719802 3003607 3215282 5282249 6007214 10564498 21025249 36975743 42050498 69082961 73951486 129155101 138165922 147176743 258310202 294353486 327393163 483580727 654786326 904085707 967161454 1030237201 1808171414 2060474402 2291752141 2970567323 3385065089 4583504282 5941134646 6328599949 6770130178 7530042749 12657199898 14077906009 15060085498 16042264987 20793971261 23695455623 28155812018 32084529974 41587942522 44300199643 47390911246 52710299243 88600399286 98545342063 105420598486 112295854909 145557798827 197090684126 224591709818 291115597654 323791838207 368972094701 647583676414 689817394441 737944189402 1018904591789 1379634788882 2037809183578 2266542867449 2582804662907 4533085734898 4828721761087 5165609325814 9657443522174 15865800072143 31731600144286 111060600505001 222121201010002