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12322102000 = 245313473927
BaseRepresentation
bin10110111100111010…
…00101101011110000
31011210202012122020011
423132131011223300
5200213424231000
65354413224304
7614232065425
oct133635055360
934722178204
1012322102000
11525356167a
12247a792094
131214b00720
1484c705d4c
154c1b982ba
hex2de745af0

12322102000 has 80 divisors (see below), whose sum is σ = 32086821312. Its totient is φ = 4549689600.

The previous prime is 12322101989. The next prime is 12322102003. The reversal of 12322102000 is 20122321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322102003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 210964 + ... + 262963.

Almost surely, 212322102000 is an apocalyptic number.

12322102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322102000 is an abundant number, since it is smaller than the sum of its proper divisors (19764719312).

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

12322102000 is a wasteful number, since it uses less digits than its factorization.

12322102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473963 (or 473947 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12322102000 its reverse (20122321), we get a palindrome (12342224321).

The spelling of 12322102000 in words is "twelve billion, three hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 473927 947854 1895708 2369635 3791416 4739270 6161051 7582832 9478540 11848175 12322102 18957080 23696350 24644204 30805255 37914160 47392700 49288408 59240875 61610510 94785400 98576816 118481750 123221020 154026275 189570800 236963500 246442040 308052550 473927000 492884080 616105100 770131375 947854000 1232210200 1540262750 2464420400 3080525500 6161051000 12322102000