Search a number
-
+
421122221124 = 2231123373748907
BaseRepresentation
bin1100010000011001101…
…01110010010001000100
31111020222201202101012220
412020030311302101010
523344424242033444
6521243314412340
742265541550423
oct6101465622104
91436881671186
10421122221124
111526625737a0
1269748b910b0
1330933677037
141654d52d2ba
15ae4ae39619
hex620cd72444

421122221124 has 96 divisors (see below), whose sum is σ = 1148785376256. Its totient is φ = 118765342080.

The previous prime is 421122221123. The next prime is 421122221209.

421122221124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4211222211242 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421122221094 and 421122221103.

It is not an unprimeable number, because it can be changed into a prime (421122221123) 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, 1762122 + ... + 1986785.

It is an arithmetic number, because the mean of its divisors is an integer number (11966514336).

Almost surely, 2421122221124 is an apocalyptic number.

421122221124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421122221124 is an abundant number, since it is smaller than the sum of its proper divisors (727663155132).

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

421122221124 is a wasteful number, since it uses less digits than its factorization.

421122221124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748985 (or 3748983 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 421122 and 221124, that added together give a palindrome (642246).

The spelling of 421122221124 in words is "four hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 37 44 46 66 69 74 92 111 132 138 148 222 253 276 407 444 506 759 814 851 1012 1221 1518 1628 1702 2442 2553 3036 3404 4884 5106 9361 10212 18722 28083 37444 56166 112332 3748907 7497814 11246721 14995628 22493442 41237977 44986884 82475954 86224861 123713931 138709559 164951908 172449722 247427862 258674583 277419118 344899444 416128677 494855724 517349166 554838236 832257354 948473471 1034698332 1525805149 1664514708 1896946942 2845420413 3051610298 3190319857 3793893884 4577415447 5690840826 6103220596 6380639714 9154830894 9570959571 11381681652 12761279428 18309661788 19141919142 35093518427 38283838284 70187036854 105280555281 140374073708 210561110562 421122221124