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12103021023000 = 2335331130140011
BaseRepresentation
bin1011000000011111010001…
…0001001100111100011000
31120212001000100022022111220
42300013310101030330120
53041243441340214000
641424015012052040
72356262100163155
oct260076421147430
946761010268456
1012103021023000
11394695392a226
121435791304020
1369a4050647ab
142dbb09d5922c
1515ec624a31a0
hexb01f444cf18

12103021023000 has 128 divisors (see below), whose sum is σ = 38979536394240. Its totient is φ = 3123360240000.

The previous prime is 12103021022947. The next prime is 12103021023019. The reversal of 12103021023000 is 32012030121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64977006 + ... + 65163005.

It is an arithmetic number, because the mean of its divisors is an integer number (304527628080).

Almost surely, 212103021023000 is an apocalyptic number.

12103021023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103021023000 is an abundant number, since it is smaller than the sum of its proper divisors (26876515371240).

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

12103021023000 is a wasteful number, since it uses less digits than its factorization.

12103021023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130140066 (or 130140052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12103021023000 its reverse (32012030121), we get a palindrome (12135033053121).

The spelling of 12103021023000 in words is "twelve trillion, one hundred three billion, twenty-one million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 130140011 260280022 390420033 520560044 650700055 780840066 1041120088 1301400110 1561680132 1952100165 2602800220 3123360264 3253500275 3904200330 4034340341 5205600440 6507000550 7808400660 8068680682 9760500825 12103021023 13014001100 15616801320 16137361364 16267501375 19521001650 20171701705 24206042046 26028002200 32274722728 32535002750 39042003300 40343403410 48412084092 48802504125 60515105115 65070005500 78084006600 80686806820 96824168184 97605008250 100858508525 121030210230 130140011000 161373613640 195210016500 201717017050 242060420460 302575525575 390420033000 403434034100 484120840920 504292542625 605151051150 806868068200 1008585085250 1210302102300 1512877627875 2017170170500 2420604204600 3025755255750 4034340341000 6051510511500 12103021023000