Search a number
-
+
20211210320 = 2457229317597
BaseRepresentation
bin10010110100101011…
…101001100001010000
31221011112221212100012
4102310223221201100
5312343032212240
613141312214052
71313565311300
oct226453514120
957145855305
1020211210320
118631779504
123b0083a328
131ba1388662
14d9a385600
157d458bb65
hex4b4ae9850

20211210320 has 120 divisors (see below), whose sum is σ = 54852754824. Its totient is φ = 6905515008.

The previous prime is 20211210311. The next prime is 20211210389. The reversal of 20211210320 is 2301211202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1594245184 + 18616965136 = 39928^2 + 136444^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20211210295 and 20211210304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139762 + ... + 1157358.

Almost surely, 220211210320 is an apocalyptic number.

20211210320 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 20211210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426377412).

20211210320 is an abundant number, since it is smaller than the sum of its proper divisors (34641544504).

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

20211210320 is a wasteful number, since it uses less digits than its factorization.

20211210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17917 (or 17904 counting only the distinct ones).

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

Adding to 20211210320 its reverse (2301211202), we get a palindrome (22512421522).

The spelling of 20211210320 in words is "twenty billion, two hundred eleven million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 293 392 490 560 586 784 980 1172 1465 1960 2051 2344 2930 3920 4102 4688 5860 8204 10255 11720 14357 16408 17597 20510 23440 28714 32816 35194 41020 57428 70388 71785 82040 87985 114856 123179 140776 143570 164080 175970 229712 246358 281552 287140 351940 492716 574280 615895 703880 862253 985432 1148560 1231790 1407760 1724506 1970864 2463580 3449012 4311265 4927160 5155921 6898024 8622530 9854320 10311842 13796048 17245060 20623684 25779605 34490120 36091447 41247368 51559210 68980240 72182894 82494736 103118420 144365788 180457235 206236840 252640129 288731576 360914470 412473680 505280258 577463152 721828940 1010560516 1263200645 1443657880 2021121032 2526401290 2887315760 4042242064 5052802580 10105605160 20211210320