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1323103121312 = 25715798338273
BaseRepresentation
bin10011010000001111000…
…101110110111110100000
311200111011022221121122212
4103100033011312332200
5133134203344340222
62451454123421252
7164406504653240
oct23201705667640
94614138847585
101323103121312
11470141245185
12194514684828
13979ca650a1b
1448077a3bb20
152463c3046e2
hex1340f176fa0

1323103121312 has 96 divisors (see below), whose sum is σ = 2999069805312. Its totient is φ = 562844565504.

The previous prime is 1323103121287. The next prime is 1323103121323. The reversal of 1323103121312 is 2131213013231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34551008 + ... + 34589280.

It is an arithmetic number, because the mean of its divisors is an integer number (31240310472).

Almost surely, 21323103121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323103121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499534902656).

1323103121312 is an abundant number, since it is smaller than the sum of its proper divisors (1675966684000).

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

1323103121312 is a wasteful number, since it uses less digits than its factorization.

1323103121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39430 (or 39422 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1323103121312 its reverse (2131213013231), we get a palindrome (3454316134543).

The spelling of 1323103121312 in words is "one trillion, three hundred twenty-three billion, one hundred three million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 983 1099 1256 1966 2198 2512 3932 4396 5024 6881 7864 8792 13762 15728 17584 27524 31456 35168 38273 55048 76546 110096 153092 154331 220192 267911 306184 308662 535822 612368 617324 1071644 1080317 1224736 1234648 2143288 2160634 2469296 4286576 4321268 4938592 6008861 8573152 8642536 12017722 17285072 24035444 34570144 37622359 42062027 48070888 75244718 84124054 96141776 150489436 168248108 192283552 263356513 300978872 336496216 526713026 601957744 672992432 1053426052 1203915488 1345984864 2106852104 4213704208 5906710363 8427408416 11813420726 23626841452 41346972541 47253682904 82693945082 94507365808 165387890164 189014731616 330775780328 661551560656 1323103121312