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42233410230010 = 252937157109322937
BaseRepresentation
bin10011001101001001110110…
…11010100001011011111010
312112112110210222022002021021
421212210323122201123322
521013423011004330020
6225453432200333054
711616156163550146
oct1146447332413372
9175473728262237
1042233410230010
11125030a806339a
1248a114b77418a
131a74793bab36c
14a60172366226
154d38c43711aa
hex26693b6a16fa

42233410230010 has 128 divisors (see below), whose sum is σ = 81359320691520. Its totient is φ = 15753804079104.

The previous prime is 42233410229963. The next prime is 42233410230023. The reversal of 42233410230010 is 1003201433224.

It can be written as a sum of positive squares in 32 ways, for example, as 2818883176209 + 39414527053801 = 1678953^2 + 6278099^2 .

It is a super-2 number, since 2×422334102300102 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1841267262 + ... + 1841290198.

Almost surely, 242233410230010 is an apocalyptic number.

42233410230010 is a deficient number, since it is larger than the sum of its proper divisors (39125910461510).

42233410230010 is a wasteful number, since it uses less digits than its factorization.

42233410230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24260.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 42233410230010 its reverse (1003201433224), we get a palindrome (43236611663234).

The spelling of 42233410230010 in words is "forty-two trillion, two hundred thirty-three billion, four hundred ten million, two hundred thirty thousand, ten".

Divisors: 1 2 5 10 29 37 58 74 145 157 185 290 314 370 785 1073 1093 1570 2146 2186 4553 5365 5465 5809 9106 10730 10930 11618 22765 22937 29045 31697 40441 45530 45874 58090 63394 80882 114685 158485 168461 171601 202205 229370 316970 336922 343202 404410 665173 842305 848669 858005 1172789 1330346 1684610 1697338 1716010 2345578 3325865 3601109 4243345 4976429 5863945 6349237 6651730 7202218 8486690 9952858 11727890 12698474 18005545 24611401 24882145 25070141 31746185 36011090 49222802 49764290 50140282 63492370 104432161 123057005 125350705 133241033 184127873 208864322 246114010 250701410 266482066 368255746 522160805 666205165 727034089 920639365 927595217 1044321610 1332410330 1454068178 1841278730 1855190434 3635170445 3863989957 3936012137 4637976085 7270340890 7727979914 7872024274 9275952170 19319949785 19680060685 26900261293 38639899570 39360121370 53800522586 114144351973 134501306465 145632449069 228288703946 269002612930 291264898138 570721759865 728162245345 1141443519730 1456324490690 4223341023001 8446682046002 21116705115005 42233410230010