Search a number
-
+
21980315500 = 22531121327947
BaseRepresentation
bin10100011110001000…
…001111111101101100
32002201211211201102021
4110132020033331230
5330003430044000
614033030235524
71405456412323
oct243610177554
962654751367
1021980315500
11935a351400
1243151b5ba4
1320c3a4c360
1410c72d90ba
15889a4111a
hex51e20ff6c

21980315500 has 144 divisors (see below), whose sum is σ = 56826780192. Its totient is φ = 7377744000.

The previous prime is 21980315491. The next prime is 21980315579. The reversal of 21980315500 is 551308912.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 772527 + ... + 800473.

It is an arithmetic number, because the mean of its divisors is an integer number (394630418).

Almost surely, 221980315500 is an apocalyptic number.

21980315500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21980315500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28413390096).

21980315500 is an abundant number, since it is smaller than the sum of its proper divisors (34846464692).

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

21980315500 is a wasteful number, since it uses less digits than its factorization.

21980315500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28001 (or 27978 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 21980315500 in words is "twenty-one billion, nine hundred eighty million, three hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 125 130 143 220 242 250 260 275 286 325 484 500 550 572 605 650 715 1100 1210 1300 1375 1430 1573 1625 2420 2750 2860 3025 3146 3250 3575 5500 6050 6292 6500 7150 7865 12100 14300 15125 15730 17875 27947 30250 31460 35750 39325 55894 60500 71500 78650 111788 139735 157300 196625 279470 307417 363311 393250 558940 614834 698675 726622 786500 1229668 1397350 1453244 1537085 1816555 2794700 3074170 3381587 3493375 3633110 3996421 6148340 6763174 6986750 7266220 7685425 7992842 9082775 13526348 13973500 15370850 15985684 16907935 18165550 19982105 30741700 33815870 36331100 38427125 39964210 43960631 45413875 67631740 76854250 79928420 84539675 87921262 90827750 99910525 153708500 169079350 175842524 181655500 199821050 219803155 338158700 399642100 422698375 439606310 499552625 845396750 879212620 999105250 1099015775 1690793500 1998210500 2198031550 4396063100 5495078875 10990157750 21980315500