Search a number
-
+
21131002320 = 2435191460973
BaseRepresentation
bin10011101011100000…
…011000000111010000
32000112122201010202120
4103223200120013100
5321234014033240
613412450414240
71345434361521
oct235340300720
960478633676
1021131002320
118a6399988a
124118891380
131cb9ac188c
1410465b4848
1583a1c7ad0
hex4eb8181d0

21131002320 has 80 divisors (see below), whose sum is σ = 65849213952. Its totient is φ = 5605419520.

The previous prime is 21131002309. The next prime is 21131002331. The reversal of 21131002320 is 2320013112.

It is an interprime number because it is at equal distance from previous prime (21131002309) and next prime (21131002331).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21131002320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184647 + ... + 276326.

Almost surely, 221131002320 is an apocalyptic number.

21131002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131002320 is an abundant number, since it is smaller than the sum of its proper divisors (44718211632).

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

21131002320 is a wasteful number, since it uses less digits than its factorization.

21131002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461180 (or 461174 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21131002320 its reverse (2320013112), we get a palindrome (23451015432).

The spelling of 21131002320 in words is "twenty-one billion, one hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 15280 22920 45840 460973 921946 1382919 1843892 2304865 2765838 3687784 4609730 5531676 6914595 7375568 9219460 11063352 13829190 18438920 22126704 27658380 36877840 55316760 88045843 110633520 176091686 264137529 352183372 440229215 528275058 704366744 880458430 1056550116 1320687645 1408733488 1760916860 2113100232 2641375290 3521833720 4226200464 5282750580 7043667440 10565501160 21131002320