Search a number
-
+
20131222300 = 2252752095521
BaseRepresentation
bin10010101111111010…
…100001001100011100
31220221222110001101221
4102233322201030130
5312212043103200
613125333543124
71311604365130
oct225772411434
956858401357
1020131222300
1185a0606302
123a99aa4aa4
131b8a930877
14d8d8c33c0
157cc53b91a
hex4afea131c

20131222300 has 72 divisors (see below), whose sum is σ = 49944060320. Its totient is φ = 6899558400.

The previous prime is 20131222273. The next prime is 20131222387. The reversal of 20131222300 is 322213102.

It is a super-2 number, since 2×201312223002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 3643540 + ... + 3649060.

Almost surely, 220131222300 is an apocalyptic number.

20131222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131222300 is an abundant number, since it is smaller than the sum of its proper divisors (29812838020).

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

20131222300 is a wasteful number, since it uses less digits than its factorization.

20131222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20131222300 its reverse (322213102), we get a palindrome (20453435402).

The spelling of 20131222300 in words is "twenty billion, one hundred thirty-one million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 5209 5521 10418 11042 20836 22084 26045 27605 36463 38647 52090 55210 72926 77294 104180 110420 130225 138025 145852 154588 182315 193235 260450 276050 364630 386470 520900 552100 729260 772940 911575 966175 1823150 1932350 3646300 3864700 28758889 57517778 115035556 143794445 201312223 287588890 402624446 575177780 718972225 805248892 1006561115 1437944450 2013122230 2875888900 4026244460 5032805575 10065611150 20131222300