Search a number
-
+
21142120362 = 23112333174337
BaseRepresentation
bin10011101100001010…
…110010011110101010
32000120102121222211220
4103230022302132222
5321244340322422
613413525002510
71345631025606
oct235412623652
960512558756
1021142120362
118a6a1a2a50
124120553436
131cbc1b52bc
141047c6a506
1583b171e5c
hex4ec2b27aa

21142120362 has 64 divisors (see below), whose sum is σ = 46483092864. Its totient is φ = 6357616640.

The previous prime is 21142120361. The next prime is 21142120387. The reversal of 21142120362 is 26302124112.

It is a super-2 number, since 2×211421203622 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21142120361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4872658 + ... + 4876994.

It is an arithmetic number, because the mean of its divisors is an integer number (726298326).

Almost surely, 221142120362 is an apocalyptic number.

21142120362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21142120362 is an abundant number, since it is smaller than the sum of its proper divisors (25340972502).

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

21142120362 is a wasteful number, since it uses less digits than its factorization.

21142120362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21142120362 its reverse (26302124112), we get a palindrome (47444244474).

The spelling of 21142120362 in words is "twenty-one billion, one hundred forty-two million, one hundred twenty thousand, three hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 233 317 466 634 699 951 1398 1902 2563 3487 4337 5126 6974 7689 8674 10461 13011 15378 20922 26022 47707 73861 95414 143121 147722 221583 286242 443166 812471 1010521 1374829 1624942 2021042 2437413 2749658 3031563 4124487 4874826 6063126 8248974 11115731 15123119 22231462 30246238 33347193 45369357 66694386 90738714 320335157 640670314 961005471 1922010942 3523686727 7047373454 10571060181 21142120362