Search a number
-
+
32223312130000 = 245414332248661
BaseRepresentation
bin1110101001110100100110…
…00100101010111111010000
311020002112000000201012101211
413110322103010222333100
513210421320401130000
6152311104002105504
76534025466600665
oct724722304527720
9136075000635354
1032223312130000
11a2a3914701382
12374511604b294
1314c9850938944
147d588c059a6c
153ad307b437ba
hex1d4e9312afd0

32223312130000 has 100 divisors (see below), whose sum is σ = 78070338047988. Its totient is φ = 12880324480000.

The previous prime is 32223312129979. The next prime is 32223312130021. The reversal of 32223312130000 is 3121332223.

It is an interprime number because it is at equal distance from previous prime (32223312129979) and next prime (32223312130021).

It can be written as a sum of positive squares in 10 ways, for example, as 10565048153664 + 21658263976336 = 3250392^2 + 4653844^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 13205670 + ... + 15454330.

Almost surely, 232223312130000 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 32223312130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39035169023994).

32223312130000 is an abundant number, since it is smaller than the sum of its proper divisors (45847025917988).

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

32223312130000 is a wasteful number, since it uses less digits than its factorization.

32223312130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250122 (or 2250101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 32223312130000 its reverse (3121332223), we get a palindrome (32226433462223).

The spelling of 32223312130000 in words is "thirty-two trillion, two hundred twenty-three billion, three hundred twelve million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1433 2000 2500 2866 5000 5732 7165 10000 11464 14330 22928 28660 35825 57320 71650 114640 143300 179125 286600 358250 573200 716500 895625 1433000 1791250 2248661 2866000 3582500 4497322 7165000 8994644 11243305 14330000 17989288 22486610 35978576 44973220 56216525 89946440 112433050 179892880 224866100 281082625 449732200 562165250 899464400 1124330500 1405413125 2248661000 2810826250 3222331213 4497322000 5621652500 6444662426 11243305000 12889324852 16111656065 22486610000 25778649704 32223312130 51557299408 64446624260 80558280325 128893248520 161116560650 257786497040 322233121300 402791401625 644466242600 805582803250 1288932485200 1611165606500 2013957008125 3222331213000 4027914016250 6444662426000 8055828032500 16111656065000 32223312130000