Search a number
-
+
2342204241003 = 321131725744753
BaseRepresentation
bin100010000101010110010…
…000000111010001101011
322021220122020111110102100
4202011112100013101223
5301333313241203003
64551554353304443
7331135001363004
oct42052620072153
98256566443370
102342204241003
11823361262000
12319b27565123
1313cb3b000343
1481512c221ab
1540dd592bba3
hex2215640746b

2342204241003 has 96 divisors (see below), whose sum is σ = 3955564746432. Its totient is φ = 1330788433920.

The previous prime is 2342204240953. The next prime is 2342204241011. The reversal of 2342204241003 is 3001424022432.

2342204241003 is a `hidden beast` number, since 2 + 3 + 4 + 220 + 424 + 10 + 0 + 3 = 666.

It is not a de Polignac number, because 2342204241003 - 210 = 2342204239979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2342204241043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52313875 + ... + 52358627.

It is an arithmetic number, because the mean of its divisors is an integer number (41203799442).

Almost surely, 22342204241003 is an apocalyptic number.

2342204241003 is a deficient number, since it is larger than the sum of its proper divisors (1613360505429).

2342204241003 is a wasteful number, since it uses less digits than its factorization.

2342204241003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45066 (or 45041 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2342204241003 its reverse (3001424022432), we get a palindrome (5343628263435).

The spelling of 2342204241003 in words is "two trillion, three hundred forty-two billion, two hundred four million, two hundred forty-one thousand, three".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 257 363 561 771 1089 1331 1683 2057 2313 2827 3993 4369 6171 8481 11979 13107 18513 22627 25443 31097 39321 44753 48059 67881 93291 134259 144177 203643 279873 342067 402777 432531 492283 528649 760801 1026201 1476849 1585947 2282403 3078603 4430547 4757841 5415113 5815139 6847209 8368811 11501521 16245339 17445417 25106433 34504563 48736017 52336251 59566243 75319299 92056921 103513689 126516731 178698729 195525857 276170763 379550193 536096187 586577571 828512289 1012626131 1138650579 1391684041 1759732713 2150784427 3037878393 4175052123 6452353281 9113635179 12525156369 15308524451 19357059843 23658628697 45925573353 70975886091 137776720059 212927658273 260244915667 780734747001 2342204241003