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131055524220 = 2235532898737
BaseRepresentation
bin111101000001110000…
…1001001100101111100
3110112021111002102122110
41322003201021211330
54121400203233340
6140112302414020
712316451401305
oct1720341114574
9415244072573
10131055524220
11506424770a5
1221496291310
13c48778268a
1464b374b7ac
153620861680
hex1e8384997c

131055524220 has 144 divisors (see below), whose sum is σ = 378255437280. Its totient is φ = 33899593728.

The previous prime is 131055524209. The next prime is 131055524221. The reversal of 131055524220 is 22425550131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131055524221) 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, 14995692 + ... + 15004428.

It is an arithmetic number, because the mean of its divisors is an integer number (2626773870).

Almost surely, 2131055524220 is an apocalyptic number.

131055524220 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 131055524220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189127718640).

131055524220 is an abundant number, since it is smaller than the sum of its proper divisors (247199913060).

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

131055524220 is a wasteful number, since it uses less digits than its factorization.

131055524220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8944 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

It can be divided in two parts, 131055 and 524220, that multiplied together give a square (68701652100 = 2621102).

The spelling of 131055524220 in words is "one hundred thirty-one billion, fifty-five million, five hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 89 106 159 178 212 265 267 318 356 445 530 534 636 795 890 1060 1068 1335 1590 1780 2670 2809 3180 4717 5340 5618 8427 8737 9434 11236 14045 14151 16854 17474 18868 23585 26211 28090 28302 33708 34948 42135 43685 47170 52422 56180 56604 70755 84270 87370 94340 104844 131055 141510 168540 174740 250001 262110 283020 463061 500002 524220 750003 777593 926122 1000004 1250005 1389183 1500006 1555186 1852244 2315305 2332779 2500010 2778366 3000012 3110372 3750015 3887965 4630610 4665558 5000020 5556732 6945915 7500030 7775930 9261220 9331116 11663895 13891830 15000060 15551860 23327790 24542233 27783660 41212429 46655580 49084466 73626699 82424858 98168932 122711165 123637287 147253398 164849716 206062145 245422330 247274574 294506796 368133495 412124290 490844660 494549148 618186435 736266990 824248580 1236372870 1472533980 2184258737 2472745740 4368517474 6552776211 8737034948 10921293685 13105552422 21842587370 26211104844 32763881055 43685174740 65527762110 131055524220