Search a number
-
+
13222320132 = 2237223977693
BaseRepresentation
bin11000101000001110…
…01001100000000100
31021010111010110100110
430110013021200010
5204034403221012
610024012113020
7645442603200
oct142407114004
937114113313
1013222320132
1156757228aa
122690165770
131329472488
148d60bbb00
15525c1973c
hex3141c9804

13222320132 has 72 divisors (see below), whose sum is σ = 37449590976. Its totient is φ = 3613549632.

The previous prime is 13222320127. The next prime is 13222320151. The reversal of 13222320132 is 23102322231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13222320099 and 13222320108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475323 + ... + 502370.

It is an arithmetic number, because the mean of its divisors is an integer number (520133208).

Almost surely, 213222320132 is an apocalyptic number.

13222320132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13222320132 is an abundant number, since it is smaller than the sum of its proper divisors (24227270844).

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

13222320132 is a wasteful number, since it uses less digits than its factorization.

13222320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977737 (or 977728 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13222320132 its reverse (23102322231), we get a palindrome (36324642363).

The spelling of 13222320132 in words is "thirteen billion, two hundred twenty-two million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 977693 1955386 2933079 3910772 5866158 6843851 11732316 13687702 20531553 22486939 27375404 41063106 44973878 47906957 67460817 82126212 89947756 95813914 134921634 143720871 157408573 191627828 269843268 287441742 314817146 472225719 574883484 629634292 944451438 1101860011 1888902876 2203720022 3305580033 4407440044 6611160066 13222320132