Search a number
-
+
21012101010 = 23253111096791
BaseRepresentation
bin10011100100011010…
…110011011110010010
32000020100222022211100
4103210122303132102
5321013044213020
613353002125230
71342461624465
oct234432633622
960210868740
1021012101010
118a0286853a
1240a4ab0816
131c9b290a84
1410348a32dc
1582ea3ca90
hex4e46b3792

21012101010 has 96 divisors (see below), whose sum is σ = 56452930560. Its totient is φ = 5416790400.

The previous prime is 21012101009. The next prime is 21012101027. The reversal of 21012101010 is 1010121012.

It is a happy number.

21012101010 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 21012100983 and 21012101001.

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, 3090715 + ... + 3097505.

It is an arithmetic number, because the mean of its divisors is an integer number (588051360).

Almost surely, 221012101010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226465280).

21012101010 is an abundant number, since it is smaller than the sum of its proper divisors (35440829550).

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

21012101010 is a wasteful number, since it uses less digits than its factorization.

21012101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21012101010 its reverse (1010121012), we get a palindrome (22022222022).

The spelling of 21012101010 in words is "twenty-one billion, twelve million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1109 1395 2218 2790 3327 5545 6654 6791 9981 11090 13582 16635 19962 20373 33270 33955 34379 40746 49905 61119 67910 68758 99810 101865 103137 122238 171895 203730 206274 210521 305595 309411 343790 421042 515685 611190 618822 631563 1031370 1052605 1263126 1547055 1894689 2105210 3094110 3157815 3789378 6315630 7531219 9473445 15062438 18946890 22593657 37656095 45187314 67780971 75312190 112968285 135561942 225936570 233467789 338904855 466935578 677809710 700403367 1167338945 1400806734 2101210101 2334677890 3502016835 4202420202 7004033670 10506050505 21012101010