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10203112122020 = 22541179479145121
BaseRepresentation
bin1001010001111001100011…
…0111111010011010100100
31100010102000102112010011022
42110132120313322122210
52314131433200401040
633411124530430312
72102102426034326
oct224363067723244
940112012463138
1010203112122020
11328412a886594
121189521732398
135901c31580cc
14273b94681616
1512a6167076b5
hex94798dfa6a4

10203112122020 has 96 divisors (see below), whose sum is σ = 22117985971200. Its totient is φ = 3951164825600.

The previous prime is 10203112122011. The next prime is 10203112122037. The reversal of 10203112122020 is 2022121130201.

It is a super-2 number, since 2×102031121220202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10203112122020.

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 31 ways as a sum of consecutive naturals, for example, 70235060 + ... + 70380180.

It is an arithmetic number, because the mean of its divisors is an integer number (230395687200).

Almost surely, 210203112122020 is an apocalyptic number.

10203112122020 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 10203112122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058992985600).

10203112122020 is an abundant number, since it is smaller than the sum of its proper divisors (11914873849180).

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

10203112122020 is a wasteful number, since it uses less digits than its factorization.

10203112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145829 (or 145827 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10203112122020 its reverse (2022121130201), we get a palindrome (12225233252221).

The spelling of 10203112122020 in words is "ten trillion, two hundred three billion, one hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 179 205 358 410 479 716 820 895 958 1790 1916 2395 3580 4790 7339 9580 14678 19639 29356 36695 39278 73390 78556 85741 98195 145121 146780 171482 196390 290242 342964 392780 428705 580484 725605 857410 1451210 1714820 2902420 3515381 5949961 7030762 11899922 14061524 17576905 23799844 25976659 29749805 35153810 51953318 59499610 69512959 70307620 103906636 118999220 129883295 139025918 259766590 278051836 347564795 519533180 695129590 1065043019 1390259180 2130086038 2850031319 4260172076 5325215095 5700062638 10650430190 11400125276 12442819661 14250156595 21300860380 24885639322 28500313190 49771278644 57000626380 62214098305 124428196610 248856393220 510155606101 1020311212202 2040622424404 2550778030505 5101556061010 10203112122020