Search a number
-
+
21142120410 = 2325839279991
BaseRepresentation
bin10011101100001010…
…110010011111011010
32000120102121222220200
4103230022302133122
5321244340323120
613413525003030
71345631026005
oct235412623732
960512558820
1021142120410
118a6a1a2a94
124120553476
131cbc1b5328
141047c6a53c
1583b171e90
hex4ec2b27da

21142120410 has 48 divisors (see below), whose sum is σ = 55035227520. Its totient is φ = 5631158880.

The previous prime is 21142120387. The next prime is 21142120411. The reversal of 21142120410 is 1402124112.

21142120410 is a `hidden beast` number, since 211 + 4 + 21 + 20 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21142120411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64486 + ... + 215505.

It is an arithmetic number, because the mean of its divisors is an integer number (1146567240).

Almost surely, 221142120410 is an apocalyptic number.

21142120410 is an abundant number, since it is smaller than the sum of its proper divisors (33893107110).

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

21142120410 is a wasteful number, since it uses less digits than its factorization.

21142120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280843 (or 280840 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21142120410 its reverse (1402124112), we get a palindrome (22544244522).

The spelling of 21142120410 in words is "twenty-one billion, one hundred forty-two million, one hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 839 1678 2517 4195 5034 7551 8390 12585 15102 25170 37755 75510 279991 559982 839973 1399955 1679946 2519919 2799910 4199865 5039838 8399730 12599595 25199190 234912449 469824898 704737347 1174562245 1409474694 2114212041 2349124490 3523686735 4228424082 7047373470 10571060205 21142120410