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10202110332030 = 2325196007993199
BaseRepresentation
bin1001010001110101110100…
…1010011000110001111110
31100010022102121110220122100
42110131131022120301332
52314122410221111110
633410441302525530
72102035542666651
oct224353512306176
940108377426570
1010202110332030
11328376634a981
1211892a21368a6
13590093742276
14273adb5c9898
1512a5a87c0bc0
hex9475d298c7e

10202110332030 has 96 divisors (see below), whose sum is σ = 27926241408000. Its totient is φ = 2576943585216.

The previous prime is 10202110332013. The next prime is 10202110332059. The reversal of 10202110332030 is 3023301120201.

10202110332030 is a `hidden beast` number, since 1 + 0 + 202 + 110 + 3 + 320 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202110331994 and 10202110332012.

It is a congruent number.

It is an unprimeable number.

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, 9775371 + ... + 10768569.

It is an arithmetic number, because the mean of its divisors is an integer number (290898348000).

Almost surely, 210202110332030 is an apocalyptic number.

10202110332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202110332030 is an abundant number, since it is smaller than the sum of its proper divisors (17724131075970).

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

10202110332030 is a wasteful number, since it uses less digits than its factorization.

10202110332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999238 (or 999235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10202110332030 its reverse (3023301120201), we get a palindrome (13225411452231).

The spelling of 10202110332030 in words is "ten trillion, two hundred two billion, one hundred ten million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 6007 12014 18021 30035 36042 54063 60070 90105 108126 114133 180210 228266 270315 342399 540630 570665 684798 993199 1027197 1141330 1711995 1986398 2054394 2979597 3423990 4965995 5135985 5959194 8938791 9931990 10271970 14897985 17877582 18870781 29795970 37741562 44693955 56612343 89387910 94353905 113224686 169837029 188707810 283061715 339674058 566123430 849185145 1698370290 5966146393 11932292786 17898439179 29830731965 35796878358 53695317537 59661463930 89492195895 107390635074 113356781467 178984391790 226713562934 268476587685 340070344401 536953175370 566783907335 680140688802 1020211033203 1133567814670 1700351722005 2040422066406 3400703444010 5101055166015 10202110332030