Search a number
-
+
121300233010220 = 225111675587159093
BaseRepresentation
bin11011100101001001101001…
…010011001011110000101100
3120220111012002210120122002202
4123211021221103023300230
5111344340334122311340
61105552320250441032
734356436565336615
oct3345115123136054
9526435083518082
10121300233010220
113571715a275430
121173096a733178
13528b741898584
1421d4d69550c0c
15e0546dc55c15
hex6e52694cbc2c

121300233010220 has 96 divisors (see below), whose sum is σ = 279561539690496. Its totient is φ = 43843522131200.

The previous prime is 121300233010217. The next prime is 121300233010289. The reversal of 121300233010220 is 22010332003121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121300233010192 and 121300233010201.

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, 2052670994 + ... + 2052730086.

It is an arithmetic number, because the mean of its divisors is an integer number (2912099371776).

Almost surely, 2121300233010220 is an apocalyptic number.

121300233010220 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 121300233010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139780769845248).

121300233010220 is an abundant number, since it is smaller than the sum of its proper divisors (158261306680276).

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

121300233010220 is a wasteful number, since it uses less digits than its factorization.

121300233010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115151 (or 115149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 121300233010220 its reverse (22010332003121), we get a palindrome (143310565013341).

The spelling of 121300233010220 in words is "one hundred twenty-one trillion, three hundred billion, two hundred thirty-three million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 55871 59093 111742 118186 223484 236372 279355 295465 558710 590930 614581 650023 1117420 1181860 1229162 1300046 2458324 2600092 3072905 3250115 6145810 6500230 9330457 9868531 12291620 13000460 18660914 19737062 37321828 39474124 46652285 49342655 93304570 98685310 102635027 108553841 186609140 197370620 205270054 217107682 410540108 434215364 513175135 542769205 1026350270 1085538410 2052700540 2171076820 3301585003 6603170006 13206340012 16507925015 33015850030 36317435033 66031700060 72634870066 145269740132 181587175165 363174350330 551364695501 726348700660 1102729391002 2205458782004 2756823477505 5513646955010 6065011650511 11027293910020 12130023301022 24260046602044 30325058252555 60650116505110 121300233010220