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131311300432 = 24134727748491
BaseRepresentation
bin111101001001011000…
…0110110111101010000
3110112221022101012122111
41322102300312331100
54122411143103212
6140153520515104
712326005431454
oct1722260667520
9415838335574
10131311300432
11507638955a4
1221547a7ba94
13c4c8768250
1464d96cc664
153638036ea7
hex1e92c36f50

131311300432 has 80 divisors (see below), whose sum is σ = 280831525632. Its totient is φ = 59100387840.

The previous prime is 131311300427. The next prime is 131311300447. The reversal of 131311300432 is 234003113131.

It is a super-2 number, since 2×1313113004322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2683707 + ... + 2732197.

Almost surely, 2131311300432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140415762816).

131311300432 is an abundant number, since it is smaller than the sum of its proper divisors (149520225200).

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

131311300432 is a wasteful number, since it uses less digits than its factorization.

131311300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48836 (or 48830 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131311300432 its reverse (234003113131), we get a palindrome (365314413563).

The spelling of 131311300432 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 277 376 554 611 752 1108 1222 2216 2444 3601 4432 4888 7202 9776 13019 14404 26038 28808 48491 52076 57616 96982 104152 169247 193964 208304 338494 387928 630383 676988 775856 1260766 1353976 2279077 2521532 2707952 4558154 5043064 9116308 10086128 13432007 18232616 26864014 29628001 36465232 53728028 59256002 107456056 118512004 174616091 214912112 237024008 349232182 474048016 631304329 698464364 1262608658 1396928728 2525217316 2793857456 5050434632 8206956277 10100869264 16413912554 32827825108 65655650216 131311300432