Search a number
-
+
20031020032212 = 223272231014888271
BaseRepresentation
bin1001000110111110101011…
…10101010110000011010100
32121220221120020010102011200
410203133111311112003110
510111142012112012322
6110334042405032500
74135123230653400
oct443372565260324
977827506112150
1020031020032212
1164231206673a2
1222b61900b5730
13b23bbcaaac97
144d3713d4a100
1524b0bd2eb8ac
hex1237d5d560d4

20031020032212 has 216 divisors, whose sum is σ = 62070182883072. Its totient is φ = 5420113776000.

The previous prime is 20031020032211. The next prime is 20031020032277. The reversal of 20031020032212 is 21223002013002.

20031020032212 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 20 + 0 + 322 + 12 = 666.

It is a super-2 number, since 2×200310200322122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031020032211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1653637 + ... + 6541907.

It is an arithmetic number, because the mean of its divisors is an integer number (287361957792).

Almost surely, 220031020032212 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 20031020032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31035091441536).

20031020032212 is an abundant number, since it is smaller than the sum of its proper divisors (42039162850860).

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

20031020032212 is a wasteful number, since it uses less digits than its factorization.

20031020032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888419 (or 4888407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20031020032212 its reverse (21223002013002), we get a palindrome (41254022045214).

The spelling of 20031020032212 in words is "twenty trillion, thirty-one billion, twenty million, thirty-two thousand, two hundred twelve".