Search a number
-
+
23310001332 = 2232372795987
BaseRepresentation
bin10101101101011000…
…100110010010110100
32020011111212202110200
4111231120212102310
5340214330020312
614413010120500
71453433512362
oct255530462264
966144782420
1023310001332
119981985012
124626580130
13227637c2c7
1411b1b46632
159166470dc
hex56d6264b4

23310001332 has 108 divisors (see below), whose sum is σ = 61334844480. Its totient is φ = 7463057472.

The previous prime is 23310001283. The next prime is 23310001339.

23310001332 is a `hidden beast` number, since 2 + 331 + 0 + 0 + 0 + 1 + 332 = 666.

23310001332 is nontrivially palindromic in base 10.

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 (23310001339) 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 35 ways as a sum of consecutive naturals, for example, 3890443 + ... + 3896429.

Almost surely, 223310001332 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 23310001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30667422240).

23310001332 is an abundant number, since it is smaller than the sum of its proper divisors (38024843148).

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

23310001332 is a wasteful number, since it uses less digits than its factorization.

23310001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 2331000 and 1332, that added together give a palindrome (2332332).

The spelling of 23310001332 in words is "twenty-three billion, three hundred ten million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 666 711 948 1332 1369 1422 2738 2844 2923 4107 5476 5846 5987 8214 8769 11692 11974 12321 16428 17538 17961 23948 24642 26307 35076 35922 49284 52614 53883 71844 105228 107766 108151 215532 216302 221519 324453 432604 443038 472973 648906 664557 886076 945946 973359 1297812 1329114 1418919 1891892 1946718 1993671 2658228 2837838 3893436 3987342 4256757 5675676 7974684 8196203 8513514 16392406 17027028 17500001 24588609 32784812 35000002 49177218 52500003 70000004 73765827 98354436 105000006 147531654 157500009 210000012 295063308 315000018 630000036 647500037 1295000074 1942500111 2590000148 3885000222 5827500333 7770000444 11655000666 23310001332