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131223313100 = 225211313848191
BaseRepresentation
bin111101000110110000…
…1001101101011001100
3110112201011210222201102
41322031201031223030
54122221132004400
6140141055002232
712323556520565
oct1721541155314
9415634728642
10131223313100
11507191593a0
1221522509378
13c4b346c439
1464cbb4716c
1536304569d5
hex1e8d84dacc

131223313100 has 72 divisors (see below), whose sum is σ = 320662142976. Its totient is φ = 46178280000.

The previous prime is 131223313057. The next prime is 131223313103. The reversal of 131223313100 is 1313322131.

It is a super-2 number, since 2×1312233131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131223313103) 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, 1889996 + ... + 1958195.

Almost surely, 2131223313100 is an apocalyptic number.

131223313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223313100 is an abundant number, since it is smaller than the sum of its proper divisors (189438829876).

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

131223313100 is a wasteful number, since it uses less digits than its factorization.

131223313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848247 (or 3848240 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131223313100 its reverse (1313322131), we get a palindrome (132536635231).

The spelling of 131223313100 in words is "one hundred thirty-one billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 3848191 7696382 15392764 19240955 38481910 42330101 76963820 84660202 96204775 119293921 169320404 192409550 211650505 238587842 384819100 423301010 477175684 596469605 846602020 1058252525 1192939210 1312233131 2116505050 2385878420 2624466262 2982348025 4233010100 5248932524 5964696050 6561165655 11929392100 13122331310 26244662620 32805828275 65611656550 131223313100