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1020100113300 = 223526317538283
BaseRepresentation
bin11101101100000101011…
…01000111001110010100
310121112001112022222100210
432312002231013032110
5113203131112111200
62100343313405420
7133462013616312
oct16660255071624
93545045288323
101020100113300
11363692a13584
12145851569870
137526c6266c8
1437531b4d0b2
151b8061aa650
hexed82b47394

1020100113300 has 72 divisors (see below), whose sum is σ = 2951962374816. Its totient is φ = 271983128960.

The previous prime is 1020100113287. The next prime is 1020100113301. The reversal of 1020100113300 is 33110010201.

1020100113300 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100113301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1625959 + ... + 2164241.

It is an arithmetic number, because the mean of its divisors is an integer number (40999477428).

Almost surely, 21020100113300 is an apocalyptic number.

1020100113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100113300 is an abundant number, since it is smaller than the sum of its proper divisors (1931862261516).

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

1020100113300 is a wasteful number, since it uses less digits than its factorization.

1020100113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544617 (or 544610 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1020100113300 its reverse (33110010201), we get a palindrome (1053210123501).

The spelling of 1020100113300 in words is "one trillion, twenty billion, one hundred million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6317 12634 18951 25268 31585 37902 63170 75804 94755 126340 157925 189510 315850 379020 473775 538283 631700 947550 1076566 1614849 1895100 2153132 2691415 3229698 5382830 6459396 8074245 10765660 13457075 16148490 26914150 32296980 40371225 53828300 80742450 161484900 3400333711 6800667422 10201001133 13601334844 17001668555 20402002266 34003337110 40804004532 51005005665 68006674220 85008342775 102010011330 170016685550 204020022660 255025028325 340033371100 510050056650 1020100113300