Search a number
-
+
10033023304100 = 2252246740668923
BaseRepresentation
bin1001000111111111111011…
…0010100100000110100100
31022112010222122101220202102
42101333332302210012210
52303340112431212400
633201035101031232
72053601445655646
oct221777662440644
938463878356672
1010033023304100
113218a88105185
121160573255518
1357a1579a4154
1426985acc8896
15125eae1b59d5
hex91ffeca41a4

10033023304100 has 36 divisors (see below), whose sum is σ = 21780486261744. Its totient is φ = 4011582466080.

The previous prime is 10033023304079. The next prime is 10033023304103. The reversal of 10033023304100 is 140332033001.

It is a super-2 number, since 2×100330233041002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10033023304103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20087762 + ... + 20581161.

Almost surely, 210033023304100 is an apocalyptic number.

10033023304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033023304100 is an abundant number, since it is smaller than the sum of its proper divisors (11747462957644).

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

10033023304100 is a wasteful number, since it uses less digits than its factorization.

10033023304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40671404 (or 40671397 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10033023304100 its reverse (140332033001), we get a palindrome (10173355337101).

The spelling of 10033023304100 in words is "ten trillion, thirty-three billion, twenty-three million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2467 4934 9868 12335 24670 49340 61675 123350 246700 40668923 81337846 162675692 203344615 406689230 813378460 1016723075 2033446150 4066892300 100330233041 200660466082 401320932164 501651165205 1003302330410 2006604660820 2508255826025 5016511652050 10033023304100