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103023012213 = 33112178322349
BaseRepresentation
bin101111111110010100…
…1100110100101110101
3100211220211222021102000
41133330221212211311
53141442342342323
6115154512405513
710305002104122
oct1377451464565
9324824867360
10103023012213
113a767893a00
1217b72246899
13993abc0474
144db4737749
152a2e826e43
hex17fca66975

103023012213 has 96 divisors (see below), whose sum is σ = 179779824000. Its totient is φ = 58054740480.

The previous prime is 103023012187. The next prime is 103023012271. The reversal of 103023012213 is 312210320301.

It is a de Polignac number, because none of the positive numbers 2k-103023012213 is a prime.

It is a super-2 number, since 2×1030230122132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103023010213) 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 95 ways as a sum of consecutive naturals, for example, 4598563 + ... + 4620911.

It is an arithmetic number, because the mean of its divisors is an integer number (1872706500).

Almost surely, 2103023012213 is an apocalyptic number.

It is an amenable number.

103023012213 is a deficient number, since it is larger than the sum of its proper divisors (76756811787).

103023012213 is a wasteful number, since it uses less digits than its factorization.

103023012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22480 (or 22463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103023012213 its reverse (312210320301), we get a palindrome (415233332514).

The spelling of 103023012213 in words is "one hundred three billion, twenty-three million, twelve thousand, two hundred thirteen".

Divisors: 1 3 9 11 17 27 33 51 83 99 121 153 187 249 297 363 459 561 747 913 1089 1411 1683 2057 2241 2739 3267 4233 5049 6171 8217 10043 12699 15521 18513 22349 24651 30129 38097 46563 55539 67047 90387 139689 170731 201141 245839 271161 379933 419067 512193 603423 737517 1139799 1536579 1854967 2212551 2704229 3419397 4179263 4609737 5564901 6637653 8112687 10258191 12537789 16694703 20404637 24338061 31534439 37613367 45971893 50084109 61213911 73014183 94603317 112840101 137915679 183641733 224451007 283809951 346878829 413747037 550925199 673353021 851429853 1040636487 1241241111 2020059063 3121909461 3815667119 6060177189 9365728383 11447001357 34341004071 103023012213