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12103321032 = 2332114129091
BaseRepresentation
bin10110100010110101…
…00000010111001000
31011020111112102011100
423101122200113020
5144241422233112
65321000101400
7605634350145
oct132132402710
934214472140
1012103321032
115151011260
122419464860
1311ab69bb2a
1482b6353cc
154ac87e2dc
hex2d16a05c8

12103321032 has 144 divisors (see below), whose sum is σ = 36657307440. Its totient is φ = 3577824000.

The previous prime is 12103320973. The next prime is 12103321049. The reversal of 12103321032 is 23012330121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12103320996 and 12103321014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326807 + ... + 1335897.

It is an arithmetic number, because the mean of its divisors is an integer number (254564635).

Almost surely, 212103321032 is an apocalyptic number.

12103321032 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 12103321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328653720).

12103321032 is an abundant number, since it is smaller than the sum of its proper divisors (24553986408).

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

12103321032 is a wasteful number, since it uses less digits than its factorization.

12103321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196 (or 9148 counting only the distinct ones).

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

Adding to 12103321032 its reverse (23012330121), we get a palindrome (35115651153).

The spelling of 12103321032 in words is "twelve billion, one hundred three million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1681 1804 2706 2952 3362 3608 4059 5043 5412 6724 8118 9091 10086 10824 13448 15129 16236 18182 18491 20172 27273 30258 32472 36364 36982 40344 54546 55473 60516 72728 73964 81819 100001 109092 110946 121032 147928 163638 166419 200002 218184 221892 300003 327276 332838 372731 400004 443784 600006 654552 665676 745462 800008 900009 1118193 1200012 1331352 1490924 1800018 2236386 2400024 2981848 3354579 3600036 4100041 4472772 6709158 7200072 8200082 8945544 12300123 13418316 15281971 16400164 24600246 26836632 30563942 32800328 36900369 45845913 49200492 61127884 73800738 91691826 98400984 122255768 137537739 147601476 168101681 183383652 275075478 295202952 336203362 366767304 504305043 550150956 672406724 1008610086 1100301912 1344813448 1512915129 2017220172 3025830258 4034440344 6051660516 12103321032