Search a number
-
+
21374031900 = 223521331176791
BaseRepresentation
bin10011111001111111…
…011101100000011100
32001011121000022200010
4103321333131200130
5322233223010100
613452531403220
71354445162544
oct237177354034
961147008603
1021374031900
1190790a1581
124186153510
132028263670
14106a998324
158516d1750
hex4f9fdd81c

21374031900 has 144 divisors (see below), whose sum is σ = 68748044288. Its totient is φ = 5091552000.

The previous prime is 21374031871. The next prime is 21374031961. The reversal of 21374031900 is 913047312.

It is a super-2 number, since 2×213740319002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32505 + ... + 209295.

Almost surely, 221374031900 is an apocalyptic number.

21374031900 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 21374031900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34374022144).

21374031900 is an abundant number, since it is smaller than the sum of its proper divisors (47374012388).

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

21374031900 is a wasteful number, since it uses less digits than its factorization.

21374031900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176852 (or 176845 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 21374031900 in words is "twenty-one billion, three hundred seventy-four million, thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 372 390 403 465 620 650 775 780 806 930 975 1209 1300 1550 1612 1860 1950 2015 2325 2418 3100 3900 4030 4650 4836 6045 8060 9300 10075 12090 20150 24180 30225 40300 60450 120900 176791 353582 530373 707164 883955 1060746 1767910 2121492 2298283 2651865 3535820 4419775 4596566 5303730 5480521 6894849 8839550 9193132 10607460 10961042 11491415 13259325 13789698 16441563 17679100 21922084 22982830 26518650 27402605 27579396 32883126 34474245 45965660 53037300 54805210 57457075 65766252 68948490 71246773 82207815 109610420 114914150 137013025 137896980 142493546 164415630 172371225 213740319 229828300 274026050 284987092 328831260 344742450 356233865 411039075 427480638 548052100 689484900 712467730 822078150 854961276 1068701595 1424935460 1644156300 1781169325 2137403190 3562338650 4274806380 5343507975 7124677300 10687015950 21374031900