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1113212111300 = 2252531976611613
BaseRepresentation
bin10000001100110000100…
…111001100100111000100
310221102101122222120012022
4100030300213030213010
5121214324300030200
62211222542542312
7143266301551322
oct20146047144704
93842348876168
101113212111300
1139a124240843
1215b8b8597998
1380c8b0b4b03
143bc46088d12
151de55850885
hex103309cc9c4

1113212111300 has 144 divisors (see below), whose sum is σ = 2479020988752. Its totient is φ = 433738905600.

The previous prime is 1113212111279. The next prime is 1113212111309. The reversal of 1113212111300 is 31112123111.

It can be written as a sum of positive squares in 24 ways, for example, as 79931729284 + 1033280382016 = 282722^2 + 1016504^2 .

It is not an unprimeable number, because it can be changed into a prime (1113212111309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690149294 + ... + 690150906.

It is an arithmetic number, because the mean of its divisors is an integer number (17215423533).

Almost surely, 21113212111300 is an apocalyptic number.

1113212111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113212111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239510494376).

1113212111300 is an abundant number, since it is smaller than the sum of its proper divisors (1365808877452).

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

1113212111300 is a wasteful number, since it uses less digits than its factorization.

1113212111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1113212111300 its reverse (31112123111), we get a palindrome (1144324234411).

The spelling of 1113212111300 in words is "one trillion, one hundred thirteen billion, two hundred twelve million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 197 212 265 394 530 661 788 985 1060 1322 1325 1613 1970 2644 2650 3226 3305 3940 4925 5300 6452 6610 8065 9850 10441 13220 16130 16525 19700 20882 32260 33050 35033 40325 41764 52205 66100 70066 80650 85489 104410 130217 140132 161300 170978 175165 208820 260434 261025 317761 341956 350330 427445 520868 522050 635522 651085 700660 854890 875825 1044100 1066193 1271044 1302170 1588805 1709780 1751650 2132386 2137225 2604340 3177610 3255425 3503300 4264772 4274450 5330965 6355220 6510850 6901501 7944025 8548900 10661930 13021700 13803002 15888050 16841333 21323860 26654825 27606004 31776100 33682666 34507505 53309650 56508229 67365332 69015010 84206665 106619300 113016458 138030020 168413330 172537525 210040021 226032916 282541145 336826660 345075050 420080042 421033325 565082290 690150100 840160084 842066650 1050200105 1130164580 1412705725 1684133300 2100400210 2825411450 4200800420 5251000525 5650822900 10502001050 11132121113 21004002100 22264242226 44528484452 55660605565 111321211130 222642422260 278303027825 556606055650 1113212111300