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1013122223300 = 22521117388913931
BaseRepresentation
bin11101011111000101100…
…10100100110011000100
310120212001020012102210102
432233202302210303010
5113044333242121200
62053231045143232
7133124053544555
oct16574262446304
93525036172712
101013122223300
113607320a0540
121444246bab18
13746c9a92405
143706d10a32c
151b5487ac6d5
hexebe2ca4cc4

1013122223300 has 144 divisors (see below), whose sum is σ = 2540250538560. Its totient is φ = 346622976000.

The previous prime is 1013122223299. The next prime is 1013122223303. The reversal of 1013122223300 is 33222213101.

1013122223300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1013122223303) 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, 72717335 + ... + 72731265.

It is an arithmetic number, because the mean of its divisors is an integer number (17640628740).

Almost surely, 21013122223300 is an apocalyptic number.

1013122223300 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 1013122223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270125269280).

1013122223300 is an abundant number, since it is smaller than the sum of its proper divisors (1527128315260).

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

1013122223300 is a wasteful number, since it uses less digits than its factorization.

1013122223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862 (or 17855 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1013122223300 its reverse (33222213101), we get a palindrome (1046344436401).

The spelling of 1013122223300 in words is "one trillion, thirteen billion, one hundred twenty-two million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 3889 4675 7778 9350 13931 15556 18700 19445 27862 38890 42779 55724 66113 69655 77780 85558 97225 132226 139310 153241 171116 194450 213895 236827 264452 278620 306482 330565 348275 388900 427790 473654 612964 661130 696550 727243 766205 855580 947308 1069475 1184135 1322260 1393100 1454486 1532410 1652825 2138950 2368270 2605097 2908972 3064820 3305650 3636215 3831025 4277900 4736540 5210194 5920675 6611300 7272430 7662050 10420388 11841350 13025485 14544860 15324100 18181075 23682700 26050970 36362150 52101940 54177659 65127425 72724300 108355318 130254850 216710636 260509700 270888295 541776590 595954249 921020203 1083553180 1191908498 1354441475 1842040406 2383816996 2708882950 2979771245 3684080812 4605101015 5417765900 5959542490 9210202030 10131222233 11919084980 14898856225 18420404060 20262444466 23025505075 29797712450 40524888932 46051010150 50656111165 59595424900 92102020300 101312222330 202624444660 253280555825 506561111650 1013122223300