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202131311323220 = 225171996967428801
BaseRepresentation
bin101101111101011001011101…
…000000100110100001010100
3222111200120020121220021102222
4231331121131000212201110
5202443204411144320340
61553521501551521512
760401335216540646
oct5575313500464124
9874616217807388
10202131311323220
1159450453764864
121a80649b229298
1388a2b93298976
1437cb2c9baa896
151857d750aa8b5
hexb7d65d026854

202131311323220 has 96 divisors (see below), whose sum is σ = 451769321203200. Its totient is φ = 75703055155200.

The previous prime is 202131311323199. The next prime is 202131311323231. The reversal of 202131311323220 is 22323113131202.

It is a super-2 number, since 2×2021313113232202 (a number of 29 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 202131311323220.

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 31 ways as a sum of consecutive naturals, for example, 471172820 + ... + 471601620.

It is an arithmetic number, because the mean of its divisors is an integer number (4705930429200).

Almost surely, 2202131311323220 is an apocalyptic number.

202131311323220 is a gapful number since it is divisible by the number (20) 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 202131311323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225884660601600).

202131311323220 is an abundant number, since it is smaller than the sum of its proper divisors (249638009879980).

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

202131311323220 is a wasteful number, since it uses less digits than its factorization.

202131311323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435993 (or 435991 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 202131311323220 its reverse (22323113131202), we get a palindrome (224454424454422).

The spelling of 202131311323220 in words is "two hundred two trillion, one hundred thirty-one billion, three hundred eleven million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 340 398 796 995 1990 3383 3980 6766 6967 13532 13934 16915 27868 33830 34835 67660 69670 118439 139340 236878 428801 473756 592195 857602 1184390 1386433 1715204 2144005 2368780 2772866 4288010 5545732 6932165 7289617 8576020 13864330 14579234 23569361 27728660 29158468 36448085 47138722 72896170 85331399 94277444 117846805 145792340 170662798 235693610 341325596 426656995 471387220 853313990 1450633783 1706627980 2901267566 2987456567 5802535132 5974913134 7253168915 11949826268 14506337830 14937282835 29012675660 29874565670 50786761639 59749131340 101573523278 203147046556 253933808195 507867616390 594503856833 1015735232780 1189007713666 2378015427332 2972519284165 5945038568330 10106565566161 11890077136660 20213131132322 40426262264644 50532827830805 101065655661610 202131311323220