Search a number
-
+
21040031430 = 232511197107881
BaseRepresentation
bin10011100110000101…
…010110011011000110
32000022022112100011100
4103212011112123012
5321042222001210
613355440520530
71343251213335
oct234605263306
960268470140
1021040031430
118a17605030
1240b2320146
131ca3cbca52
141038493d1c
158322085c0
hex4e61566c6

21040031430 has 96 divisors (see below), whose sum is σ = 59980665888. Its totient is φ = 5074675200.

The previous prime is 21040031429. The next prime is 21040031431. The reversal of 21040031430 is 3413004012.

It is an interprime number because it is at equal distance from previous prime (21040031429) and next prime (21040031431).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21040031431) 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, 141090 + ... + 248970.

It is an arithmetic number, because the mean of its divisors is an integer number (624798603).

Almost surely, 221040031430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21040031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29990332944).

21040031430 is an abundant number, since it is smaller than the sum of its proper divisors (38940634458).

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

21040031430 is a wasteful number, since it uses less digits than its factorization.

21040031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108102 (or 108099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21040031430 its reverse (3413004012), we get a palindrome (24453035442).

The spelling of 21040031430 in words is "twenty-one billion, forty million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 197 198 330 394 495 591 985 990 1182 1773 1970 2167 2955 3546 4334 5910 6501 8865 10835 13002 17730 19503 21670 32505 39006 65010 97515 107881 195030 215762 323643 539405 647286 970929 1078810 1186691 1618215 1941858 2373382 3236430 3560073 4854645 5933455 7120146 9709290 10680219 11866910 17800365 21252557 21360438 35600730 42505114 53401095 63757671 106262785 106802190 127515342 191273013 212525570 233778127 318788355 382546026 467556254 637576710 701334381 956365065 1168890635 1402668762 1912730130 2104003143 2337781270 3506671905 4208006286 7013343810 10520015715 21040031430