Search a number
-
+
10032332203011 = 31929318014007
BaseRepresentation
bin1001000111111101010110…
…0110001110010000000011
31022112002012110222100021210
42101333111212032100003
52303332204020444021
633200442332221203
72053545354466656
oct221772546162003
938462173870253
1010032332203011
113218762a93758
1211603bb90a803
1357a07775c3b1
142697d31c989d
15125e6d69ee76
hex91fd598e403

10032332203011 has 64 divisors (see below), whose sum is σ = 14595058252800. Its totient is φ = 6112797062400.

The previous prime is 10032332203001. The next prime is 10032332203013. The reversal of 10032332203011 is 11030223323001.

It is not a de Polignac number, because 10032332203011 - 29 = 10032332202499 is a prime.

It is a super-2 number, since 2×100323322030112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10032332203013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2503699570 + ... + 2503703576.

It is an arithmetic number, because the mean of its divisors is an integer number (228047785200).

Almost surely, 210032332203011 is an apocalyptic number.

10032332203011 is a deficient number, since it is larger than the sum of its proper divisors (4562726049789).

10032332203011 is an equidigital number, since it uses as much as digits as its factorization.

10032332203011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10032332203011 its reverse (11030223323001), we get a palindrome (21062555526012).

The spelling of 10032332203011 in words is "ten trillion, thirty-two billion, three hundred thirty-two million, two hundred three thousand, eleven".

Divisors: 1 3 19 29 57 87 551 841 1653 1801 2523 4007 5403 12021 15979 24389 34219 47937 52229 73167 76133 102657 116203 156687 228399 348609 463391 992351 1390173 1514641 2207857 2977053 3369887 4543923 6623571 7216607 10109661 21649821 28778179 43924589 64027853 86334537 97726723 131773767 137115533 192083559 209281603 293180169 411346599 627844809 834567191 1856807737 2503701573 3976350457 5570423211 6069166487 11929051371 18207499461 115314163253 176005828123 345942489759 528017484369 3344110734337 10032332203011