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131301433120 = 25511135738699
BaseRepresentation
bin111101001001000101…
…1001101111100100000
3110112220121210220020111
41322102023031330200
54122401131324440
6140152525221104
712325525524004
oct1722213157440
9415817726214
10131301433120
11507592660a0
1221544701794
13c4c66c1bc0
1464d8280704
1536372384ea
hex1e922cdf20

131301433120 has 96 divisors (see below), whose sum is σ = 364430404800. Its totient is φ = 44073200640.

The previous prime is 131301433099. The next prime is 131301433127. The reversal of 131301433120 is 21334103131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131301433091 and 131301433100.

It is not an unprimeable number, because it can be changed into a prime (131301433127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2846470 + ... + 2892229.

It is an arithmetic number, because the mean of its divisors is an integer number (3796150050).

Almost surely, 2131301433120 is an apocalyptic number.

131301433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301433120 is an abundant number, since it is smaller than the sum of its proper divisors (233128971680).

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

131301433120 is a wasteful number, since it uses less digits than its factorization.

131301433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738738 (or 5738730 counting only the distinct ones).

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

Adding to 131301433120 its reverse (21334103131), we get a palindrome (152635536251).

The spelling of 131301433120 in words is "one hundred thirty-one billion, three hundred one million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 5738699 11477398 22954796 28693495 45909592 57386990 63125689 74603087 91819184 114773980 126251378 149206174 183638368 229547960 252502756 298412348 315628445 373015435 459095920 505005512 596824696 631256890 746030870 820633957 918191840 1010011024 1193649392 1262513780 1492061740 1641267914 2020022048 2387298784 2525027560 2984123480 3282535828 4103169785 5050055120 5968246960 6565071656 8206339570 10100110240 11936493920 13130143312 16412679140 26260286624 32825358280 65650716560 131301433120