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130523215032 = 233271138322751
BaseRepresentation
bin111100110001111001…
…0100011010010111000
3110110220101110022201100
41321203302203102320
54114302420340112
6135543405251400
712300326010420
oct1714362432270
9413811408640
10130523215032
1150399a52351
1221367b63b60
13c4013c7522
146462b85480
1535ddc652dc
hex1e63ca34b8

130523215032 has 96 divisors (see below), whose sum is σ = 404053678080. Its totient is φ = 37287432000.

The previous prime is 130523215001. The next prime is 130523215037. The reversal of 130523215032 is 230512325031.

It is a happy number.

130523215032 is a `hidden beast` number, since 1 + 305 + 2 + 321 + 5 + 0 + 32 = 666.

It is a super-2 number, since 2×1305232150322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130523214987 and 130523215005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130523215037) 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 23 ways as a sum of consecutive naturals, for example, 5725657 + ... + 5748407.

It is an arithmetic number, because the mean of its divisors is an integer number (4208892480).

Almost surely, 2130523215032 is an apocalyptic number.

130523215032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130523215032 is an abundant number, since it is smaller than the sum of its proper divisors (273530463048).

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

130523215032 is a wasteful number, since it uses less digits than its factorization.

130523215032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34153 (or 34146 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 130523215032 in words is "one hundred thirty billion, five hundred twenty-three million, two hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 11383 22751 22766 34149 45502 45532 68253 68298 79681 91004 91064 102447 136506 136596 159257 159362 182008 204759 204894 239043 273012 273192 318514 318724 409518 409788 477771 478086 546024 637028 637448 717129 819036 819576 955542 956172 1274056 1433313 1434258 1638072 1911084 1912344 2866626 2868516 3822168 5733252 5737032 11466504 258974633 517949266 776923899 1035898532 1553847798 1812822431 2071797064 2330771697 3107695596 3625644862 4661543394 5438467293 6215391192 7251289724 9323086788 10876934586 14502579448 16315401879 18646173576 21753869172 32630803758 43507738344 65261607516 130523215032