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31200031104 = 273119377883
BaseRepresentation
bin11101000011101010…
…101011000110000000
32222112101100210120120
4131003222223012000
51002344201443404
622155540540240
72153110613544
oct350352530600
988471323516
1031200031104
1112260671180
1260689b1680
132c32b9a788
14171d985a24
15c2916d9d9
hex743aab180

31200031104 has 128 divisors (see below), whose sum is σ = 90517150080. Its totient is φ = 9443266560.

The previous prime is 31200031097. The next prime is 31200031237. The reversal of 31200031104 is 40113000213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 3953947 + ... + 3961829.

It is an arithmetic number, because the mean of its divisors is an integer number (707165235).

Almost surely, 231200031104 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 31200031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45258575040).

31200031104 is an abundant number, since it is smaller than the sum of its proper divisors (59317118976).

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

31200031104 is a wasteful number, since it uses less digits than its factorization.

31200031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31200031104 its reverse (40113000213), we get a palindrome (71313031317).

The spelling of 31200031104 in words is "thirty-one billion, two hundred million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 937 1056 1408 1874 2112 2811 3748 4224 5622 7496 7883 10307 11244 14992 15766 20614 22488 23649 29984 30921 31532 41228 44976 47298 59968 61842 63064 82456 86713 89952 94596 119936 123684 126128 164912 173426 179904 189192 247368 252256 260139 329824 346852 359808 378384 494736 504512 520278 659648 693704 756768 989472 1009024 1040556 1319296 1387408 1513536 1978944 2081112 2774816 3027072 3957888 4162224 5549632 7386371 8324448 11099264 14772742 16648896 22159113 29545484 33297792 44318226 59090968 81250081 88636452 118181936 162500162 177272904 236363872 243750243 325000324 354545808 472727744 487500486 650000648 709091616 945455488 975000972 1300001296 1418183232 1950001944 2600002592 2836366464 3900003888 5200005184 7800007776 10400010368 15600015552 31200031104