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131409535070 = 25115389463547
BaseRepresentation
bin111101001100010011…
…1100110000001011110
3110120012011020001020102
41322120213212001132
54123111320110240
6140211350221102
712331310422022
oct1723047460136
9416164201212
10131409535070
1150804290750
1221574954792
13c512c11358
146508780382
15364198d815
hex1e989e605e

131409535070 has 128 divisors (see below), whose sum is σ = 266924574720. Its totient is φ = 46172206080.

The previous prime is 131409535027. The next prime is 131409535079. The reversal of 131409535070 is 70535904131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131409535079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240236537 + ... + 240237083.

It is an arithmetic number, because the mean of its divisors is an integer number (2085348240).

Almost surely, 2131409535070 is an apocalyptic number.

131409535070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131409535070 is an abundant number, since it is smaller than the sum of its proper divisors (135515039650).

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

131409535070 is a wasteful number, since it uses less digits than its factorization.

131409535070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170.

The product of its (nonzero) digits is 56700, while the sum is 38.

The spelling of 131409535070 in words is "one hundred thirty-one billion, four hundred nine million, five hundred thirty-five thousand, seventy".

Divisors: 1 2 5 10 11 22 53 55 89 106 110 178 265 445 463 530 547 583 890 926 979 1094 1166 1958 2315 2735 2915 4630 4717 4895 5093 5470 5830 6017 9434 9790 10186 12034 23585 24539 25465 28991 30085 41207 47170 48683 49078 50930 51887 57982 60170 82414 97366 103774 122695 144955 206035 243415 245390 253261 259435 269929 289910 318901 412070 453277 486830 506522 518870 535513 539858 637802 906554 1071026 1266305 1349645 1594505 2183971 2266385 2532610 2580199 2677565 2699290 2785871 3189010 4367942 4532770 5160398 5355130 5571742 10919855 12900995 13422833 13929355 21839710 22540229 24023681 25801990 26845666 27858710 28382189 45080458 48047362 56764378 67114165 112701145 120118405 134228330 141910945 147651163 225402290 240236810 247942519 283821890 295302326 495885038 738255815 1194632137 1239712595 1476511630 2389264274 2479425190 5973160685 11946321370 13140953507 26281907014 65704767535 131409535070