Search a number
-
+
4223022104301 = 37111319217933967
BaseRepresentation
bin111101011100111111101…
…110110111111011101101
3112221201100200010110102020
4331130333232313323231
51023142222124314201
612552010215420353
7614050265421540
oct75347756677355
915851320113366
104223022104301
111388a7897a550
125825496846b9
132482c9945c20
14108576c24857
1574cb5658a36
hex3d73fbb7eed

4223022104301 has 128 divisors (see below), whose sum is σ = 7961881804800. Its totient is φ = 1917508412160.

The previous prime is 4223022104293. The next prime is 4223022104311. The reversal of 4223022104301 is 1034012203224.

It is a happy number.

It is not a de Polignac number, because 4223022104301 - 23 = 4223022104293 is a prime.

It is a super-2 number, since 2×42230221043012 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223022104311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124310220 + ... + 124344186.

It is an arithmetic number, because the mean of its divisors is an integer number (62202201600).

Almost surely, 24223022104301 is an apocalyptic number.

It is an amenable number.

4223022104301 is a deficient number, since it is larger than the sum of its proper divisors (3738859700499).

4223022104301 is a wasteful number, since it uses less digits than its factorization.

4223022104301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36199.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4223022104301 its reverse (1034012203224), we get a palindrome (5257034307525).

The spelling of 4223022104301 in words is "four trillion, two hundred twenty-three billion, twenty-two million, one hundred four thousand, three hundred one".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 209 231 247 273 399 429 627 741 1001 1463 1729 2179 2717 3003 4389 5187 6537 8151 15253 19019 23969 28327 33967 41401 45759 57057 71907 84981 101901 124203 167783 198289 237769 289807 311597 373637 441571 455411 503349 538213 594867 645373 713307 869421 934791 1120911 1324713 1366233 1614639 1936119 2181179 2615459 3090997 3187877 3767491 4517611 4857281 5920343 6543537 7099103 7846377 8389849 9272991 9563631 11302473 13552833 14571843 17761029 21297309 25169547 34000967 41442401 49693721 58728943 74014093 92288339 102002901 124327203 149081163 176186829 222042279 276865017 518098651 646018373 814155023 962183209 1406267767 1554295953 1938055119 2442465069 2886549627 4218803301 5699085161 6735282463 9843874369 10584015299 15468945437 17097255483 18281480971 20205847389 29531623107 31752045897 46406836311 54844442913 74088107093 108282618059 127970366797 201096290681 222264321279 324847854177 383911100391 603288872043 1407674034767 4223022104301