Search a number
-
+
202133110123320 = 233537188459241567
BaseRepresentation
bin101101111101011011001000…
…001110011110101100111000
3222111200201212222122210021220
4231331123020032132230320
5202443222102142421240
61553522400250232040
760401430621230055
oct5575331016365470
9874621788583256
10202133110123320
1159451197079a12
121a806901725620
1388a30bbb5881c
1437cb41aa5002c
151857e2ce785d0
hexb7d6c839eb38

202133110123320 has 128 divisors (see below), whose sum is σ = 622794384230400. Its totient is φ = 52444852102656.

The previous prime is 202133110123297. The next prime is 202133110123333. The reversal of 202133110123320 is 23321011331202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836637177 + ... + 836878743.

It is an arithmetic number, because the mean of its divisors is an integer number (4865581126800).

Almost surely, 2202133110123320 is an apocalyptic number.

202133110123320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202133110123320 is an abundant number, since it is smaller than the sum of its proper divisors (420661274107080).

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

202133110123320 is a wasteful number, since it uses less digits than its factorization.

202133110123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430077 (or 430073 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 202133110123320 its reverse (23321011331202), we get a palindrome (225454121454522).

The spelling of 202133110123320 in words is "two hundred two trillion, one hundred thirty-three billion, one hundred ten million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 188459 241567 376918 483134 565377 724701 753836 942295 966268 1130754 1207835 1449402 1507672 1884590 1932536 2261508 2415670 2826885 2898804 3623505 3769180 4523016 4831340 5653770 5797608 6972983 7247010 7538360 8937979 9662680 11307540 13945966 14494020 17875958 20918949 22615080 26813937 27891932 28988040 34864915 35751916 41837898 44689895 53627874 55783864 69729830 71503832 83675796 89379790 104594745 107255748 134069685 139459660 167351592 178759580 209189490 214511496 268139370 278919320 357519160 418378980 536278740 836757960 1072557480 45525475253 91050950506 136576425759 182101901012 227627376265 273152851518 364203802024 455254752530 546305703036 682882128795 910509505060 1092611406072 1365764257590 1684442584361 1821019010120 2731528515180 3368885168722 5053327753083 5463057030360 6737770337444 8422212921805 10106655506166 13475540674888 16844425843610 20213311012332 25266638765415 33688851687220 40426622024664 50533277530830 67377703374440 101066555061660 202133110123320