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103300223033331 = 32174383918714551
BaseRepresentation
bin10111011111001101110101…
…000110010101111111110011
3111112202101221011012002200200
4113133031311012111333303
5102014432324044031311
61003411244535450243
730521123553110652
oct2737156506257763
9445671834162620
10103300223033331
112aa07418964415
12b704337826983
134584227a64a1c
141b71a86707199
15be212107b556
hex5df375195ff3

103300223033331 has 48 divisors (see below), whose sum is σ = 161855423009280. Its totient is φ = 63233020972800.

The previous prime is 103300223033317. The next prime is 103300223033351. The reversal of 103300223033331 is 133330322003301.

103300223033331 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 0 + 22 + 303 + 3 + 331 = 666.

It is not a de Polignac number, because 103300223033331 - 229 = 103299686162419 is a prime.

It is a super-2 number, since 2×1033002230333312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103300223033295 and 103300223033304.

It is not an unprimeable number, because it can be changed into a prime (103300223033351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3837495 + ... + 14877056.

It is an arithmetic number, because the mean of its divisors is an integer number (3371987979360).

Almost surely, 2103300223033331 is an apocalyptic number.

103300223033331 is a deficient number, since it is larger than the sum of its proper divisors (58555199975949).

103300223033331 is a wasteful number, since it uses less digits than its factorization.

103300223033331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18715456 (or 18715453 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 103300223033331 its reverse (133330322003301), we get a palindrome (236630545036632).

The spelling of 103300223033331 in words is "one hundred three trillion, three hundred billion, two hundred twenty-three million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 17 43 51 129 153 387 731 839 2193 2517 6579 7551 14263 36077 42789 108231 128367 324693 613309 1839927 5519781 18714551 56143653 168430959 318147367 804725693 954442101 2414177079 2863326303 7242531237 13680336781 15701508289 41041010343 47104524867 123123031029 141313574601 266925640913 675164856427 800776922739 2025494569281 2402330768217 6076483707843 11477802559259 34433407677777 103300223033331