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131003304432 = 243711132726509
BaseRepresentation
bin111101000000001100…
…1111100100111110000
3110112010211211101120020
41322000121330213300
54121243321220212
6140103155243440
712315245500110
oct1720031744760
9415124741506
10131003304432
1150615a4a650
12214808a9580
13c4799caab0
1464aa837040
15361ae98d8c
hex1e8067c9f0

131003304432 has 160 divisors (see below), whose sum is σ = 454389250560. Its totient is φ = 31409372160.

The previous prime is 131003304379. The next prime is 131003304451. The reversal of 131003304432 is 234403300131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315207 + ... + 1411302.

It is an arithmetic number, because the mean of its divisors is an integer number (2839932816).

Almost surely, 2131003304432 is an apocalyptic number.

131003304432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131003304432 is an abundant number, since it is smaller than the sum of its proper divisors (323385946128).

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

131003304432 is a wasteful number, since it uses less digits than its factorization.

131003304432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726551 (or 2726545 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131003304432 its reverse (234403300131), we get a palindrome (365406604563).

The spelling of 131003304432 in words is "one hundred thirty-one billion, three million, three hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 2726509 5453018 8179527 10906036 16359054 19085563 21812072 29991599 32718108 35444617 38171126 43624144 57256689 59983198 65436216 70889234 76342252 89974797 106333851 114513378 119966396 130872432 141778468 152684504 179949594 209941193 212667702 229026756 239932792 248112319 283556936 305369008 359899188 389890787 419882386 425335404 458053512 479865584 496224638 567113872 629823579 719798376 744336957 779781574 839764772 850670808 916107024 992449276 1169672361 1259647158 1439596752 1488673914 1559563148 1679529544 1701341616 1984898552 2339344722 2519294316 2729235509 2977347828 3119126296 3359059088 3969797104 4678689444 5038588632 5458471018 5954695656 6238252592 8187706527 9357378888 10077177264 10916942036 11909391312 16375413054 18714757776 21833884072 32750826108 43667768144 65501652216 131003304432