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2312131332 = 223737838963
BaseRepresentation
bin1000100111010000…
…0101001100000100
312222010200102220210
42021310011030010
514213401200312
61021232555420
7111203535450
oct21164051404
95863612823
102312131332
11a87157545
125463b2b70
132ab031b64
1417d109660
15d7ebae3c
hex89d05304

2312131332 has 96 divisors (see below), whose sum is σ = 6409331712. Its totient is φ = 634939776.

The previous prime is 2312131319. The next prime is 2312131351. The reversal of 2312131332 is 2331312132.

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

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 = 2312131299 and 2312131308.

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 31 ways as a sum of consecutive naturals, for example, 253483 + ... + 262445.

It is an arithmetic number, because the mean of its divisors is an integer number (66763872).

Almost surely, 22312131332 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 2312131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204665856).

2312131332 is an abundant number, since it is smaller than the sum of its proper divisors (4097200380).

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

2312131332 is a wasteful number, since it uses less digits than its factorization.

2312131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9095 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 2312131332 is about 48084.6267740533. The cubic root of 2312131332 is about 1322.3228407053.

Adding to 2312131332 its reverse (2331312132), we get a palindrome (4643443464).

The spelling of 2312131332 in words is "two billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 83 84 111 148 166 222 249 259 332 444 498 518 581 777 996 1036 1162 1554 1743 2324 3071 3108 3486 6142 6972 8963 9213 12284 17926 18426 21497 26889 35852 36852 42994 53778 62741 64491 85988 107556 125482 128982 188223 250964 257964 331631 376446 663262 743929 752892 994893 1326524 1487858 1989786 2231787 2321417 2975716 3979572 4463574 4642834 5207503 6964251 8927148 9285668 10415006 13928502 15622509 20830012 27525373 27857004 31245018 55050746 62490036 82576119 110101492 165152238 192677611 330304476 385355222 578032833 770710444 1156065666 2312131332