Search a number
-
+
21312201020 = 225111092293881
BaseRepresentation
bin10011110110010011…
…100110000100111100
32001000021122222122112
4103312103212010330
5322121410413040
613442442233152
71353064501565
oct236623460474
961007588575
1021312201020
119047200080
1241694b57b8
1320184c5246
1410626a116c
1584b06b365
hex4f64e613c

21312201020 has 96 divisors (see below), whose sum is σ = 49500158400. Its totient is φ = 7643289600.

The previous prime is 21312201017. The next prime is 21312201041. The reversal of 21312201020 is 2010221312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21312200986 and 21312201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5489480 + ... + 5493360.

It is an arithmetic number, because the mean of its divisors is an integer number (515626650).

Almost surely, 221312201020 is an apocalyptic number.

21312201020 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 21312201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24750079200).

21312201020 is an abundant number, since it is smaller than the sum of its proper divisors (28187957380).

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

21312201020 is a wasteful number, since it uses less digits than its factorization.

21312201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21312201020 its reverse (2010221312), we get a palindrome (23322422332).

The spelling of 21312201020 in words is "twenty-one billion, three hundred twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 229 436 458 545 916 1090 1145 1199 2180 2290 2398 2519 3881 4580 4796 5038 5995 7762 10076 11990 12595 15524 19405 23980 24961 25190 38810 42691 49922 50380 77620 85382 99844 124805 170764 213455 249610 274571 423029 426910 499220 549142 846058 853820 888749 1098284 1372855 1692116 1777498 2115145 2745710 3554996 4230290 4443745 4653319 5491420 8460580 8887490 9306638 9776239 17774980 18613276 19552478 23266595 39104956 46533190 48881195 93066380 96873641 97762390 193747282 195524780 387494564 484368205 968736410 1065610051 1937472820 2131220102 4262440204 5328050255 10656100510 21312201020