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131000000 = 2656131
BaseRepresentation
bin1111100111011…
…10011011000000
3100010111111012212
413303232123000
5232014000000
620555441252
73150324125
oct763563300
9303444185
10131000000
1167a4526a
1237a56228
13211a89c1
141358074c
15b779c35
hex7cee6c0

131000000 has 98 divisors (see below), whose sum is σ = 327417684. Its totient is φ = 52000000.

The previous prime is 130999997. The next prime is 131000021. The reversal of 131000000 is 131.

It is a super-2 number, since 2×1310000002 = 34322000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999935 + ... + 1000065.

Almost surely, 2131000000 is an apocalyptic number.

131000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163708842).

131000000 is an abundant number, since it is smaller than the sum of its proper divisors (196417684).

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

131000000 is an frugal number, since it uses more digits than its factorization.

131000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 131000000 is about 11445.5231422596. The cubic root of 131000000 is about 507.8753078133.

Adding to 131000000 its reverse (131), we get a palindrome (131000131).

Multiplying 131000000 by its reverse (131), we get a square (17161000000 = 1310002).

131000000 divided by its reverse (131) gives a 6-th power (1000000 = 106).

The spelling of 131000000 in words is "one hundred thirty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 131 160 200 250 262 320 400 500 524 625 655 800 1000 1048 1250 1310 1600 2000 2096 2500 2620 3125 3275 4000 4192 5000 5240 6250 6550 8000 8384 10000 10480 12500 13100 15625 16375 20000 20960 25000 26200 31250 32750 40000 41920 50000 52400 62500 65500 81875 100000 104800 125000 131000 163750 200000 209600 250000 262000 327500 409375 500000 524000 655000 818750 1000000 1048000 1310000 1637500 2046875 2620000 3275000 4093750 5240000 6550000 8187500 13100000 16375000 26200000 32750000 65500000 131000000