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3102111301300 = 225211112313211901
BaseRepresentation
bin101101001001000100001…
…111011111111010110100
3101222120002110200211121021
4231021010033133322310
5401311110443120200
610333031255030524
7440056131666004
oct55110417377264
911876073624537
103102111301300
11a96663a59790
1242126296b444
131966b288644b
14aa200506004
1555a5dec941a
hex2d2443dfeb4

3102111301300 has 144 divisors (see below), whose sum is σ = 7359516085824. Its totient is φ = 1125590400000.

The previous prime is 3102111301279. The next prime is 3102111301301. The reversal of 3102111301300 is 31031112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102111301301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1631830350 + ... + 1631832250.

It is an arithmetic number, because the mean of its divisors is an integer number (51107750596).

Almost surely, 23102111301300 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 3102111301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679758042912).

3102111301300 is an abundant number, since it is smaller than the sum of its proper divisors (4257404784524).

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

3102111301300 is a wasteful number, since it uses less digits than its factorization.

3102111301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 3102111301300 its reverse (31031112013), we get a palindrome (3133142413313).

The spelling of 3102111301300 in words is "three trillion, one hundred two billion, one hundred eleven million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1123 1321 1901 2246 2642 3802 4492 5284 5615 6605 7604 9505 11230 12353 13210 14531 19010 20911 22460 24706 26420 28075 29062 33025 38020 41822 47525 49412 56150 58124 61765 66050 72655 83644 95050 104555 112300 123530 132100 145310 190100 209110 247060 290620 308825 363275 418220 522775 617650 726550 1045550 1235300 1453100 1483483 2091100 2134823 2511221 2966966 4269646 5022442 5933932 7417415 8539292 10044884 10674115 12556105 14834830 16318313 21348230 23483053 25112210 27623431 29669660 32636626 37087075 42696460 46966106 50224420 53370575 55246862 62780525 65273252 74174150 81591565 93932212 106741150 110493724 117415265 125561050 138117155 148348300 163183130 213482300 234830530 251122100 276234310 326366260 407957825 469661060 552468620 587076325 690585775 815915650 1174152650 1381171550 1631831300 2348305300 2762343100 2820101183 5640202366 11280404732 14100505915 28201011830 31021113013 56402023660 62042226026 70502529575 124084452052 141005059150 155105565065 282010118300 310211130130 620422260260 775527825325 1551055650650 3102111301300