Search a number
-
+
21121210032 = 24313108731139
BaseRepresentation
bin10011101010111011…
…000001011010110000
32000111222021122021020
4103222323001122300
5321224012210112
613411500455440
71345255215546
oct235273013260
960458248236
1021121210032
118a5941078a
12411554a580
131cb7a73720
141045185d96
158393e148c
hex4eaec16b0

21121210032 has 80 divisors (see below), whose sum is σ = 58816235520. Its totient is φ = 6492646656.

The previous prime is 21121210007. The next prime is 21121210037. The reversal of 21121210032 is 23001212112.

It is a super-2 number, since 2×211212100322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121209993 and 21121210020.

It is not an unprimeable number, because it can be changed into a prime (21121210037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662719 + ... + 693857.

It is an arithmetic number, because the mean of its divisors is an integer number (735202944).

Almost surely, 221121210032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29408117760).

21121210032 is an abundant number, since it is smaller than the sum of its proper divisors (37695025488).

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

21121210032 is a wasteful number, since it uses less digits than its factorization.

21121210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32250 (or 32244 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21121210032 its reverse (23001212112), we get a palindrome (44122422144).

The spelling of 21121210032 in words is "twenty-one billion, one hundred twenty-one million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1087 2174 3261 4348 6522 8696 13044 14131 17392 26088 28262 31139 42393 52176 56524 62278 84786 93417 113048 124556 169572 186834 226096 249112 339144 373668 404807 498224 678288 747336 809614 1214421 1494672 1619228 2428842 3238456 4857684 6476912 9715368 19430736 33848093 67696186 101544279 135392372 203088558 270784744 406177116 440025209 541569488 812354232 880050418 1320075627 1624708464 1760100836 2640151254 3520201672 5280302508 7040403344 10560605016 21121210032