Search a number
-
+
22131142100420 = 22517280872317499
BaseRepresentation
bin1010000100000110011101…
…10111010000010111000100
32220100201100100022022111012
411002003032313100113010
510400044034334203140
6115022523433301352
74442631222004103
oct502031667202704
986321310268435
1022131142100420
1170628458379a1
1225951b6864858
13c46c5b2211a2
1456721db5403a
15285a360c7265
hex1420cedd05c4

22131142100420 has 48 divisors (see below), whose sum is σ = 49211018640000. Its totient is φ = 8331423849984.

The previous prime is 22131142100401. The next prime is 22131142100447. The reversal of 22131142100420 is 2400124113122.

It is an unprimeable number.

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, 8390831 + ... + 10708329.

It is an arithmetic number, because the mean of its divisors is an integer number (1025229555000).

Almost surely, 222131142100420 is an apocalyptic number.

22131142100420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131142100420 is an abundant number, since it is smaller than the sum of its proper divisors (27079876539580).

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

22131142100420 is a wasteful number, since it uses less digits than its factorization.

22131142100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345612 (or 2345610 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 22131142100420 its reverse (2400124113122), we get a palindrome (24531266213542).

The spelling of 22131142100420 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred forty-two million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 28087 56174 112348 140435 280870 477479 561740 954958 1909916 2317499 2387395 4634998 4774790 9269996 9549580 11587495 23174990 39397483 46349980 78794966 157589932 196987415 393974830 787949660 65091594413 130183188826 260366377652 325457972065 650915944130 1106557105021 1301831888260 2213114210042 4426228420084 5532785525105 11065571050210 22131142100420