Search a number
-
+
10330123023200 = 255214221907999
BaseRepresentation
bin1001011001010010101101…
…0100000011001101100000
31100120112212000221102001102
42112110223110003031200
52323222042443220300
633545332031053532
72114220035631011
oct226245324031540
940515760842042
1010330123023200
113322a87160512
1211aa0693712a8
1359c1849941c6
14279da2b81008
1512da9be2c0d5
hex9652b503360

10330123023200 has 72 divisors (see below), whose sum is σ = 25220213928000. Its totient is φ = 4131754099200.

The previous prime is 10330123023161. The next prime is 10330123023203. The reversal of 10330123023200 is 232032103301.

It is a super-2 number, since 2×103301230232002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330123023203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10922801 + ... + 11830799.

It is an arithmetic number, because the mean of its divisors is an integer number (350280749000).

Almost surely, 210330123023200 is an apocalyptic number.

10330123023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330123023200 is an abundant number, since it is smaller than the sum of its proper divisors (14890090904800).

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

10330123023200 is a wasteful number, since it uses less digits than its factorization.

10330123023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922240 (or 922227 counting only the distinct ones).

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

Adding to 10330123023200 its reverse (232032103301), we get a palindrome (10562155126501).

The spelling of 10330123023200 in words is "ten trillion, three hundred thirty billion, one hundred twenty-three million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 14221 28442 56884 71105 113768 142210 227536 284420 355525 455072 568840 711050 907999 1137680 1422100 1815998 2275360 2844200 3631996 4539995 5688400 7263992 9079990 11376800 14527984 18159980 22699975 29055968 36319960 45399950 72639920 90799900 145279840 181599800 363199600 726399200 12912653779 25825307558 51650615116 64563268895 103301230232 129126537790 206602460464 258253075580 322816344475 413204920928 516506151160 645632688950 1033012302320 1291265377900 2066024604640 2582530755800 5165061511600 10330123023200