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12213410000 = 245411111031
BaseRepresentation
bin10110101111111100…
…11101100011010000
31011112011200111211112
423113332131203100
5200003113110000
65335531432452
7611442162221
oct132776354320
934464614745
1012213410000
1151a8173780
12244a2b5728
1311c843582c
1483c0d1248
154b7378235
hex2d7f9d8d0

12213410000 has 100 divisors (see below), whose sum is σ = 32258349024. Its totient is φ = 4441200000.

The previous prime is 12213409979. The next prime is 12213410023. The reversal of 12213410000 is 1431221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54485 + ... + 165515.

Almost surely, 212213410000 is an apocalyptic number.

12213410000 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 12213410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129174512).

12213410000 is an abundant number, since it is smaller than the sum of its proper divisors (20044939024).

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

12213410000 is a wasteful number, since it uses less digits than its factorization.

12213410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111070 (or 111049 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12213410000 its reverse (1431221), we get a palindrome (12214841221).

The spelling of 12213410000 in words is "twelve billion, two hundred thirteen million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 111031 222062 444124 555155 888248 1110310 1221341 1776496 2220620 2442682 2775775 4441240 4885364 5551550 6106705 8882480 9770728 11103100 12213410 13878875 19541456 22206200 24426820 27757750 30533525 44412400 48853640 55515500 61067050 69394375 97707280 111031000 122134100 138788750 152667625 222062000 244268200 277577500 305335250 488536400 555155000 610670500 763338125 1110310000 1221341000 1526676250 2442682000 3053352500 6106705000 12213410000