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131012203322 = 271121324211087
BaseRepresentation
bin111101000000011101…
…1111001001100111010
3110112011110120111112202
41322000323321030322
54121303111001242
6140104114110202
712315414232310
oct1720073711472
9415143514482
10131012203322
115061aa78500
122148387b362
13c47b7c5400
1464abab20b0
15361bb55932
hex1e80ef933a

131012203322 has 144 divisors (see below), whose sum is σ = 268197866496. Its totient is φ = 46962115200.

The previous prime is 131012203253. The next prime is 131012203327. The reversal of 131012203322 is 223302210131.

It is a junction number, because it is equal to n+sod(n) for n = 131012203294 and 131012203303.

It is not an unprimeable number, because it can be changed into a prime (131012203327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120525863 + ... + 120526949.

It is an arithmetic number, because the mean of its divisors is an integer number (1862485184).

Almost surely, 2131012203322 is an apocalyptic number.

131012203322 is an abundant number, since it is smaller than the sum of its proper divisors (137185663174).

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

131012203322 is a wasteful number, since it uses less digits than its factorization.

131012203322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1541 counting only the distinct ones).

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

Adding to 131012203322 its reverse (223302210131), we get a palindrome (354314413453).

The spelling of 131012203322 in words is "one hundred thirty-one billion, twelve million, two hundred three thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 169 182 242 286 338 421 842 847 1001 1087 1183 1573 1694 1859 2002 2174 2366 2947 3146 3718 4631 5473 5894 7609 9262 10946 11011 11957 13013 14131 15218 20449 22022 23914 26026 28262 32417 38311 40898 50941 60203 64834 71149 76622 83699 98917 101882 120406 131527 142298 143143 155441 167398 183703 197834 263054 286286 310882 356587 367406 421421 457627 498043 662233 713174 782639 842842 915254 920689 996086 1088087 1285921 1324466 1565278 1709851 1841378 2020733 2176174 2571842 3203389 3419702 4041466 4635631 5033897 5478473 5949151 6406778 8609029 9271262 10067794 10956946 11898302 11968957 14145131 17218058 22228063 23937914 28290262 35237279 41644057 44456126 55372867 60263203 65440661 70474558 77338963 83288114 110745734 120526406 130881322 154677926 155596441 311192882 387610069 458084627 541372741 719847271 775220138 850728593 916169254 1082745482 1439694542 1701457186 5038930897 5955100151 9358014523 10077861794 11910200302 18716029046 65506101661 131012203322