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12103020323296 = 257711367556697
BaseRepresentation
bin1011000000011111010000…
…1110100010000111100000
31120212001000021222202200221
42300013310032202013200
53041243441200321141
641424014545052424
72356262061220210
oct260076416420740
946761007882627
1012103020323296
1139469534a1561
121435791027114
1369a404b7b176
142dbb09c16240
1515ec623b5bd1
hexb01f43a21e0

12103020323296 has 96 divisors (see below), whose sum is σ = 27635593208832. Its totient is φ = 5110202065920.

The previous prime is 12103020323291. The next prime is 12103020323311. The reversal of 12103020323296 is 69232302030121.

It is a super-2 number, since 2×121030203232962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103020323291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21462420 + ... + 22019116.

It is an arithmetic number, because the mean of its divisors is an integer number (287870762592).

Almost surely, 212103020323296 is an apocalyptic number.

12103020323296 is a gapful number since it is divisible by the number (16) 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 12103020323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817796604416).

12103020323296 is an abundant number, since it is smaller than the sum of its proper divisors (15532572885536).

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

12103020323296 is a wasteful number, since it uses less digits than its factorization.

12103020323296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558152 (or 558144 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 12103020323296 in words is "twelve trillion, one hundred three billion, twenty million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1367 1988 2272 2734 3976 5468 7952 9569 10936 15904 19138 21872 38276 43744 76552 97057 153104 194114 306208 388228 556697 679399 776456 1113394 1358798 1552912 2226788 2717596 3105824 3896879 4453576 5435192 7793758 8907152 10870384 15587516 17814304 21740768 31175032 39525487 62350064 79050974 124700128 158101948 276678409 316203896 553356818 632407792 761004799 1106713636 1264815584 1522009598 2213427272 3044019196 4426854544 5327033593 6088038392 8853709088 10654067186 12176076784 21308134372 24352153568 42616268744 54031340729 85232537488 108062681458 170465074976 216125362916 378219385103 432250725832 756438770206 864501451664 1512877540412 1729002903328 3025755080824 6051510161648 12103020323296