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103023003312 = 243210950313049
BaseRepresentation
bin101111111110010100…
…1100100011010110000
3100211220211221211012100
41133330221210122300
53141442342101222
6115154512300400
710305002036145
oct1377451443260
9324824854170
10103023003312
113a767888249
1217b72241700
13993abb93b8
144db47343cc
152a2e8244ac
hex17fca646b0

103023003312 has 120 divisors (see below), whose sum is σ = 291567276000. Its totient is φ = 33955697664.

The previous prime is 103023003311. The next prime is 103023003319. The reversal of 103023003312 is 213300320301.

103023003312 is a `hidden beast` number, since 1 + 0 + 30 + 2 + 300 + 331 + 2 = 666.

It is a super-2 number, since 2×1030230033122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103023003311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7888564 + ... + 7901612.

It is an arithmetic number, because the mean of its divisors is an integer number (2429727300).

Almost surely, 2103023003312 is an apocalyptic number.

103023003312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103023003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145783638000).

103023003312 is an abundant number, since it is smaller than the sum of its proper divisors (188544272688).

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

103023003312 is a wasteful number, since it uses less digits than its factorization.

103023003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13675 (or 13666 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103023003312 its reverse (213300320301), we get a palindrome (316323323613).

The spelling of 103023003312 in words is "one hundred three billion, twenty-three million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 503 654 872 981 1006 1308 1509 1744 1962 2012 2616 3018 3924 4024 4527 5232 6036 7848 8048 9054 12072 13049 15696 18108 24144 26098 36216 39147 52196 54827 72432 78294 104392 109654 117441 156588 164481 208784 219308 234882 313176 328962 438616 469764 493443 626352 657924 877232 939528 986886 1315848 1422341 1879056 1973772 2631696 2844682 3947544 4267023 5689364 6563647 7895088 8534046 11378728 12801069 13127294 17068092 19690941 22757456 25602138 26254588 34136184 39381882 51204276 52509176 59072823 68272368 78763764 102408552 105018352 118145646 157527528 204817104 236291292 315055056 472582584 715437523 945165168 1430875046 2146312569 2861750092 4292625138 5723500184 6438937707 8585250276 11447000368 12877875414 17170500552 25755750828 34341001104 51511501656 103023003312