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3103232111120 = 245172333978049
BaseRepresentation
bin101101001010000111000…
…011000011001000010000
3101222122222120200212122002
4231022013003003020100
5401320404410023440
610333334413533132
7440125661503061
oct55120703031020
911878876625562
103103232111120
11a97089697799
124215161a41a8
13196830b4201b
14aa2a9300568
1555ac75c1115
hex2d2870c3210

3103232111120 has 80 divisors (see below), whose sum is σ = 7642709607600. Its totient is φ = 1167773663232.

The previous prime is 3103232111113. The next prime is 3103232111153. The reversal of 3103232111120 is 211112323013.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 361306783744 + 2741925327376 = 601088^2 + 1655876^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3103232111092 and 3103232111101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2683856 + ... + 3661904.

It is an arithmetic number, because the mean of its divisors is an integer number (95533870095).

Almost surely, 23103232111120 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 3103232111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821354803800).

3103232111120 is an abundant number, since it is smaller than the sum of its proper divisors (4539477496480).

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

3103232111120 is a wasteful number, since it uses less digits than its factorization.

3103232111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980412 (or 980406 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3103232111120 its reverse (211112323013), we get a palindrome (3314344434133).

The spelling of 3103232111120 in words is "three trillion, one hundred three billion, two hundred thirty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2333 4666 9332 11665 18664 23330 37328 39661 46660 79322 93320 158644 186640 198305 317288 396610 634576 793220 978049 1586440 1956098 3172880 3912196 4890245 7824392 9780490 15648784 16626833 19560980 33253666 39121960 66507332 78243920 83134165 133014664 166268330 266029328 332536660 665073320 1330146640 2281788317 4563576634 9127153268 11408941585 18254306536 22817883170 36508613072 38790401389 45635766340 77580802778 91271532680 155161605556 182543065360 193952006945 310323211112 387904013890 620646422224 775808027780 1551616055560 3103232111120