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131223302233300 = 225243475107127139
BaseRepresentation
bin11101110101100011001110…
…010100001101110011010100
3122012121211021112222111111001
4131311203032110031303110
5114144430310332431200
61143031053002153044
736432366521134654
oct3565431624156324
9565554245874431
10131223302233300
11388a2543143072
1212873b564b2784
13582b3c572c504
1424593553aa364
151028644d9476a
hex7758ce50dcd4

131223302233300 has 144 divisors (see below), whose sum is σ = 297636880020480. Its totient is φ = 50167597011840.

The previous prime is 131223302233297. The next prime is 131223302233307. The reversal of 131223302233300 is 3332203322131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131223302233307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032061131 + ... + 1032188269.

It is an arithmetic number, because the mean of its divisors is an integer number (2066922777920).

Almost surely, 2131223302233300 is an apocalyptic number.

131223302233300 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 131223302233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148818440010240).

131223302233300 is an abundant number, since it is smaller than the sum of its proper divisors (166413577787180).

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

131223302233300 is a wasteful number, since it uses less digits than its factorization.

131223302233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132350 (or 132343 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 131223302233300 its reverse (3332203322131), we get a palindrome (134555505555431).

The spelling of 131223302233300 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, three hundred two million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 47 50 86 94 100 172 188 215 235 430 470 860 940 1075 1175 2021 2150 2350 4042 4300 4700 5107 8084 10105 10214 20210 20428 25535 40420 50525 51070 101050 102140 127139 127675 202100 219601 240029 254278 255350 439202 480058 508556 510700 635695 878404 960116 1098005 1200145 1271390 2196010 2400290 2542780 3178475 4392020 4800580 5466977 5490025 5975533 6000725 6356950 10321247 10933954 10980050 11951066 12001450 12713900 20642494 21867908 21960100 23902132 24002900 27334885 29877665 41284988 51606235 54669770 59755330 103212470 109339540 119510660 136674425 149388325 206424940 256947919 258031175 273348850 298776650 513895838 516062350 546697700 597553300 649298873 1027791676 1032124700 1284739595 1298597746 2569479190 2597195492 3246494365 5138958380 6423697975 6492988730 12847395950 12985977460 16232471825 25694791900 27919851539 30517047031 32464943650 55839703078 61034094062 64929887300 111679406156 122068188124 139599257695 152585235155 279198515390 305170470310 558397030780 610340940620 697996288475 762926175775 1312233022333 1395992576950 1525852351550 2624466044666 2791985153900 3051704703100 5248932089332 6561165111665 13122330223330 26244660446660 32805825558325 65611651116650 131223302233300