Search a number
-
+
42233312121 = 37211132936857
BaseRepresentation
bin100111010101010011…
…010011001101111001
311001000022102112210020
4213111103103031321
51142443211441441
631222434241053
73023403141600
oct472523231571
9131008375706
1042233312121
1116a02670540
128227a26189
133ca0978620
14208903aa37
151172ad3e66
hex9d54d3379

42233312121 has 96 divisors (see below), whose sum is σ = 77230516608. Its totient is φ = 20179676160.

The previous prime is 42233312063. The next prime is 42233312131. The reversal of 42233312121 is 12121333224.

It is not a de Polignac number, because 42233312121 - 218 = 42233049977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42233312091 and 42233312100.

It is not an unprimeable number, because it can be changed into a prime (42233312131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6155725 + ... + 6162581.

It is an arithmetic number, because the mean of its divisors is an integer number (804484548).

Almost surely, 242233312121 is an apocalyptic number.

It is an amenable number.

42233312121 is a deficient number, since it is larger than the sum of its proper divisors (34997204487).

42233312121 is a wasteful number, since it uses less digits than its factorization.

42233312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7184 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 42233312121 its reverse (12121333224), we get a palindrome (54354645345).

The spelling of 42233312121 in words is "forty-two billion, two hundred thirty-three million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 293 429 539 637 879 1001 1617 1911 2051 3003 3223 3809 6153 6857 7007 9669 11427 14357 20571 21021 22561 26663 41899 43071 47999 67683 75427 79989 89141 125697 143997 157927 186641 226281 267423 293293 335993 473781 527989 559923 623987 879879 980551 1007979 1583967 1871961 2009101 2053051 2941653 3695923 4367909 6027303 6159153 6863857 11087769 13103727 14063707 20591571 22100111 26118313 42191121 48046999 66300333 78354939 98445949 144140997 154700777 182828191 287301443 295337847 464102331 548484573 861904329 1082905439 1279797337 2011110101 3248716317 3839392011 6033330303 14077770707 42233312121