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131225504340 = 22357714400587
BaseRepresentation
bin111101000110110100…
…1100100101001010100
3110112201022221022112110
41322031221210221110
54122222212114330
6140141213551020
712323614245210
oct1721551445124
9415638838473
10131225504340
115071a415737
12215231a5470
13c4b3a58928
1464cc157940
15363073adb0
hex1e8da64a54

131225504340 has 96 divisors (see below), whose sum is σ = 425836099584. Its totient is φ = 29571937920.

The previous prime is 131225504323. The next prime is 131225504351. The reversal of 131225504340 is 43405522131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131225504298 and 131225504307.

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, 2170474 + ... + 2230113.

It is an arithmetic number, because the mean of its divisors is an integer number (4435792704).

Almost surely, 2131225504340 is an apocalyptic number.

131225504340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131225504340 is an abundant number, since it is smaller than the sum of its proper divisors (294610595244).

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

131225504340 is a wasteful number, since it uses less digits than its factorization.

131225504340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400677 (or 4400675 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 131225504340 in words is "one hundred thirty-one billion, two hundred twenty-five million, five hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14910 29820 4400587 8801174 13201761 17602348 22002935 26403522 30804109 44005870 52807044 61608218 66008805 88011740 92412327 123216436 132017610 154020545 184824654 264035220 308041090 312441677 369649308 462061635 616082180 624883354 924123270 937325031 1249766708 1562208385 1848246540 1874650062 2187091739 3124416770 3749300124 4374183478 4686625155 6248833540 6561275217 8748366956 9373250310 10935458695 13122550434 18746500620 21870917390 26245100868 32806376085 43741834780 65612752170 131225504340