Search a number
-
+
21333303120 = 2435379724767
BaseRepresentation
bin10011110111100100…
…000101111101010000
32001001202101002021210
4103313210011331100
5322142311144440
613444514420120
71353442041003
oct236744057520
961052332253
1021333303120
119058103428
124174591640
13201c9a31ac
1410653d553a
1584cd38a80
hex4f7905f50

21333303120 has 160 divisors (see below), whose sum is σ = 68623607808. Its totient is φ = 5477842944.

The previous prime is 21333303049. The next prime is 21333303127. The reversal of 21333303120 is 2130333312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333303127) 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, 848977 + ... + 873743.

Almost surely, 221333303120 is an apocalyptic number.

21333303120 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 21333303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34311803904).

21333303120 is an abundant number, since it is smaller than the sum of its proper divisors (47290304688).

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

21333303120 is a wasteful number, since it uses less digits than its factorization.

21333303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24917 (or 24911 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 21333303120 its reverse (2130333312), we get a palindrome (23463636432).

The spelling of 21333303120 in words is "twenty-one billion, three hundred thirty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 97 111 120 148 185 194 222 240 291 296 370 388 444 485 555 582 592 740 776 888 970 1110 1164 1455 1480 1552 1776 1940 2220 2328 2910 2960 3589 3880 4440 4656 5820 7178 7760 8880 10767 11640 14356 17945 21534 23280 24767 28712 35890 43068 49534 53835 57424 71780 74301 86136 99068 107670 123835 143560 148602 172272 198136 215340 247670 287120 297204 371505 396272 430680 495340 594408 743010 861360 916379 990680 1188816 1486020 1832758 1981360 2402399 2749137 2972040 3665516 4581895 4804798 5498274 5944080 7207197 7331032 9163790 9609596 10996548 12011995 13745685 14414394 14662064 18327580 19219192 21993096 24023990 27491370 28828788 36035985 36655160 38438384 43986192 48047980 54982740 57657576 72071970 73310320 88888763 96095960 109965480 115315152 144143940 177777526 192191920 219930960 266666289 288287880 355555052 444443815 533332578 576575760 711110104 888887630 1066665156 1333331445 1422220208 1777775260 2133330312 2666662890 3555550520 4266660624 5333325780 7111101040 10666651560 21333303120