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1012313212300 = 2252132083373837
BaseRepresentation
bin11101011101100101001…
…00011100010110001100
310120202221211220102100001
432232302210130112030
5113041204140243200
62053014505214044
7133065031221115
oct16566244342614
93522854812301
101012313212300
11360357465605
12144239791324
13745cb2a5b90
1436dd38b720c
151b4ec75576a
hexebb291c58c

1012313212300 has 72 divisors (see below), whose sum is σ = 2366840154896. Its totient is φ = 373596744960.

The previous prime is 1012313212279. The next prime is 1012313212319. The reversal of 1012313212300 is 32123132101.

1012313212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2520982 + ... + 2894818.

Almost surely, 21012313212300 is an apocalyptic number.

1012313212300 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 1012313212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183420077448).

1012313212300 is an abundant number, since it is smaller than the sum of its proper divisors (1354526942596).

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

1012313212300 is a wasteful number, since it uses less digits than its factorization.

1012313212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375947 (or 375940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1012313212300 its reverse (32123132101), we get a palindrome (1044436344401).

The spelling of 1012313212300 in words is "one trillion, twelve billion, three hundred thirteen million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2083 4166 8332 10415 20830 27079 41660 52075 54158 104150 108316 135395 208300 270790 373837 541580 676975 747674 1353950 1495348 1869185 2707900 3738370 4859881 7476740 9345925 9719762 18691850 19439524 24299405 37383700 48598810 97197620 121497025 242994050 485988100 778702471 1557404942 3114809884 3893512355 7787024710 10123132123 15574049420 19467561775 20246264246 38935123550 40492528492 50615660615 77870247100 101231321230 202462642460 253078303075 506156606150 1012313212300