Search a number
-
+
21524003130 = 2357219770641
BaseRepresentation
bin10100000010111011…
…100011100100111010
32001120001012122112010
4110002323203210322
5323040121100010
613515450030350
71361246002500
oct240273434472
961501178463
1021524003130
119145814143
1242084183b6
132050352436
141082876670
1585e957620
hex502ee393a

21524003130 has 96 divisors (see below), whose sum is σ = 63254295360. Its totient is φ = 4660830720.

The previous prime is 21524003107. The next prime is 21524003131. The reversal of 21524003130 is 3130042512.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21524003097 and 21524003106.

It is not an unprimeable number, because it can be changed into a prime (21524003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357391 + ... + 413250.

It is an arithmetic number, because the mean of its divisors is an integer number (658898910).

Almost surely, 221524003130 is an apocalyptic number.

21524003130 is an abundant number, since it is smaller than the sum of its proper divisors (41730292230).

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

21524003130 is a wasteful number, since it uses less digits than its factorization.

21524003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770684 (or 770677 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 21524003130 its reverse (3130042512), we get a palindrome (24654045642).

The spelling of 21524003130 in words is "twenty-one billion, five hundred twenty-four million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 13965 27930 770641 1541282 2311923 3853205 4623846 5394487 7706410 10788974 11559615 14642179 16183461 23119230 26972435 29284358 32366922 37761409 43926537 53944870 73210895 75522818 80917305 87853074 102495253 113284227 146421790 161834610 188807045 204990506 219632685 226568454 307485759 377614090 439265370 512476265 566421135 614971518 717466771 1024952530 1132842270 1434933542 1537428795 2152400313 3074857590 3587333855 4304800626 7174667710 10762001565 21524003130