Search a number
-
+
21123131221424 = 24171913929404987
BaseRepresentation
bin1001100110110000111001…
…01110111010010110110000
32202210100111100000001221002
410303120130232322112300
510232040133043041144
6112531455454021132
74310044611624521
oct463303456722660
982710440001832
1021123131221424
1168042a6994051
122451979aa77a8
13ba2b973a387b
14530517810848
152696db41714e
hex13361cbba5b0

21123131221424 has 80 divisors (see below), whose sum is σ = 45942353251200. Its totient is φ = 9349374108672.

The previous prime is 21123131221343. The next prime is 21123131221427. The reversal of 21123131221424 is 42412213132112.

It is a super-2 number, since 2×211231312214242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21123131221427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13984142 + ... + 15420845.

It is an arithmetic number, because the mean of its divisors is an integer number (574279415640).

Almost surely, 221123131221424 is an apocalyptic number.

It is an amenable number.

21123131221424 is an abundant number, since it is smaller than the sum of its proper divisors (24819222029776).

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

21123131221424 is a wasteful number, since it uses less digits than its factorization.

21123131221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29405170 (or 29405164 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 21123131221424 its reverse (42412213132112), we get a palindrome (63535344353536).

The spelling of 21123131221424 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred thirty-one million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 139 152 272 278 304 323 556 646 1112 1292 2224 2363 2584 2641 4726 5168 5282 9452 10564 18904 21128 37808 42256 44897 89794 179588 359176 718352 29404987 58809974 117619948 235239896 470479792 499884779 558694753 999769558 1117389506 1999539116 2234779012 3999078232 4087293193 4469558024 7998156464 8174586386 8939116048 9497810801 16349172772 18995621602 32698345544 37991243204 65396691088 69483984281 75982486408 77658570667 138967968562 151964972816 155317141334 277935937124 310634282668 555871874248 621268565336 1111743748496 1242537130672 1320195701339 2640391402678 5280782805356 10561565610712 21123131221424