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12103230040 = 23511292513779
BaseRepresentation
bin10110100010110100…
…01010001001011000
31011020111100210100021
423101122022021120
5144241411330130
65320554120224
7605633520646
oct132132121130
934214323307
1012103230040
115150a59960
122419420074
1311ab6695a5
1482b610196
154ac86237a
hex2d168a258

12103230040 has 128 divisors (see below), whose sum is σ = 30862944000. Its totient is φ = 4231360000.

The previous prime is 12103230037. The next prime is 12103230047. The reversal of 12103230040 is 4003230121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12103229996 and 12103230023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103230047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3200871 + ... + 3204649.

It is an arithmetic number, because the mean of its divisors is an integer number (241116750).

Almost surely, 212103230040 is an apocalyptic number.

12103230040 is a gapful number since it is divisible by the number (10) 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 12103230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431472000).

12103230040 is an abundant number, since it is smaller than the sum of its proper divisors (18759713960).

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

12103230040 is a wasteful number, since it uses less digits than its factorization.

12103230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12103230040 its reverse (4003230121), we get a palindrome (16106460161).

The spelling of 12103230040 in words is "twelve billion, one hundred three million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 251 290 319 440 502 580 638 1004 1160 1255 1276 1595 2008 2510 2552 2761 3190 3779 5020 5522 6380 7279 7558 10040 11044 12760 13805 14558 15116 18895 22088 27610 29116 30232 36395 37790 41569 55220 58232 72790 75580 80069 83138 109591 110440 145580 151160 160138 166276 207845 219182 291160 320276 332552 400345 415690 438364 547955 640552 800690 831380 876728 948529 1095910 1205501 1601380 1662760 1897058 2191820 2411002 3202760 3794116 4383640 4742645 4822004 6027505 7588232 9485290 9644008 10433819 12055010 18970580 20867638 24110020 27507341 37941160 41735276 48220040 52169095 55014682 83470552 104338190 110029364 137536705 208676380 220058728 275073410 302580751 417352760 550146820 605161502 1100293640 1210323004 1512903755 2420646008 3025807510 6051615020 12103230040