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131000012010 = 23257207936527
BaseRepresentation
bin111101000000000110…
…1011000110011101010
3110112010121122010012200
41322000031120303222
54121242000341020
6140103000521030
712315205505160
oct1720015306352
9415117563180
10131000012010
1150614100a3a
122147b780176
13c47911730a
1464aa21b230
15361aa48590
hex1e80358cea

131000012010 has 48 divisors (see below), whose sum is σ = 389257180416. Its totient is φ = 29942859744.

The previous prime is 131000011973. The next prime is 131000012023. The reversal of 131000012010 is 10210000131.

It is a super-2 number, since 2×1310000120102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131000011983 and 131000012001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103967634 + ... + 103968893.

It is an arithmetic number, because the mean of its divisors is an integer number (8109524592).

Almost surely, 2131000012010 is an apocalyptic number.

131000012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131000012010 is an abundant number, since it is smaller than the sum of its proper divisors (258257168406).

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

131000012010 is a wasteful number, since it uses less digits than its factorization.

131000012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207936547 (or 207936544 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 131000012010 its reverse (10210000131), we get a palindrome (141210012141).

The spelling of 131000012010 in words is "one hundred thirty-one billion, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 207936527 415873054 623809581 1039682635 1247619162 1455555689 1871428743 2079365270 2911111378 3119047905 3742857486 4366667067 6238095810 7277778445 8733334134 9357143715 13100001201 14555556890 18714287430 21833335335 26200002402 43666670670 65500006005 131000012010