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1213432114000 = 24532359447101
BaseRepresentation
bin10001101010000110001…
…100001010101101010000
311022000002011121012102011
4101222012030022231100
5124340102110122000
62325235405232304
7153444656534161
oct21520614125520
94260064535364
101213432114000
11428682881157
12177207b62694
138a570363262
1442a32417768
152186e0462ba
hex11a8630ab50

1213432114000 has 160 divisors (see below), whose sum is σ = 3113546791680. Its totient is φ = 456399680000.

The previous prime is 1213432113973. The next prime is 1213432114003. The reversal of 1213432114000 is 4112343121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213432114003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490450 + ... + 2937550.

It is an arithmetic number, because the mean of its divisors is an integer number (19459667448).

Almost surely, 21213432114000 is an apocalyptic number.

1213432114000 is a gapful number since it is divisible by the number (10) 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 1213432114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556773395840).

1213432114000 is an abundant number, since it is smaller than the sum of its proper divisors (1900114677680).

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

1213432114000 is a wasteful number, since it uses less digits than its factorization.

1213432114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447206 (or 447190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1213432114000 its reverse (4112343121), we get a palindrome (1217544457121).

The spelling of 1213432114000 in words is "one trillion, two hundred thirteen billion, four hundred thirty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 59 80 92 100 115 118 125 184 200 230 236 250 295 368 400 460 472 500 575 590 920 944 1000 1150 1180 1357 1475 1840 2000 2300 2360 2714 2875 2950 4600 4720 5428 5750 5900 6785 7375 9200 10856 11500 11800 13570 14750 21712 23000 23600 27140 29500 33925 46000 54280 59000 67850 108560 118000 135700 169625 271400 339250 447101 542800 678500 894202 1357000 1788404 2235505 2714000 3576808 4471010 7153616 8942020 10283323 11177525 17884040 20566646 22355050 26378959 35768080 41133292 44710100 51416615 52757918 55887625 82266584 89420200 102833230 105515836 111775250 131894795 164533168 178840400 205666460 211031672 223550500 257083075 263789590 411332920 422063344 447101000 514166150 527579180 606716057 659473975 822665840 894202000 1028332300 1055158360 1213432114 1285415375 1318947950 2056664600 2110316720 2426864228 2570830750 2637895900 3033580285 3297369875 4113329200 4853728456 5141661500 5275791800 6067160570 6594739750 9707456912 10283323000 10551583600 12134321140 13189479500 15167901425 20566646000 24268642280 26378959000 30335802850 48537284560 52757918000 60671605700 75839507125 121343211400 151679014250 242686422800 303358028500 606716057000 1213432114000