Search a number
-
+
21221223132 = 22359193155303
BaseRepresentation
bin10011110000111000…
…100010101011011100
32000202221110211110010
4103300320202223130
5321430113120012
613425432243220
71350611264124
oct236070425334
960687424403
1021221223132
118aaa91103a
124142b40510
1320026c0185
14105457bc84
15843099c3c
hex4f0e22adc

21221223132 has 48 divisors (see below), whose sum is σ = 50616679680. Its totient is φ = 6917772288.

The previous prime is 21221223119. The next prime is 21221223137. The reversal of 21221223132 is 23132212212.

It is a super-2 number, since 2×212212231322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21221223099 and 21221223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221223137) 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, 58993 + ... + 214295.

It is an arithmetic number, because the mean of its divisors is an integer number (1054514160).

Almost surely, 221221223132 is an apocalyptic number.

It is an amenable number.

21221223132 is an abundant number, since it is smaller than the sum of its proper divisors (29395456548).

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

21221223132 is a wasteful number, since it uses less digits than its factorization.

21221223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155562 (or 155560 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 21221223132 its reverse (23132212212), we get a palindrome (44353435344).

The spelling of 21221223132 in words is "twenty-one billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 118 177 193 236 354 386 579 708 772 1158 2316 11387 22774 34161 45548 68322 136644 155303 310606 465909 621212 931818 1863636 9162877 18325754 27488631 29973479 36651508 54977262 59946958 89920437 109954524 119893916 179840874 359681748 1768435261 3536870522 5305305783 7073741044 10610611566 21221223132