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131133103032 = 2338365829871
BaseRepresentation
bin111101000100000100…
…1000101101110111000
3110112110220001211202210
41322020021011232320
54122030033244112
6140124113255120
712321412661511
oct1721011055670
9415426054683
10131133103032
1150682244218
12214b82644a0
13c49a8759b9
1464bdb83a08
153627587b3c
hex1e88245bb8

131133103032 has 32 divisors (see below), whose sum is σ = 331782554880. Its totient is φ = 43184394720.

The previous prime is 131133102983. The next prime is 131133103051. The reversal of 131133103032 is 230301331131.

It is a super-2 number, since 2×1311331030322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 32912944 + ... + 32916927.

It is an arithmetic number, because the mean of its divisors is an integer number (10368204840).

Almost surely, 2131133103032 is an apocalyptic number.

131133103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131133103032 is an abundant number, since it is smaller than the sum of its proper divisors (200649451848).

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

131133103032 is a wasteful number, since it uses less digits than its factorization.

131133103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65829963 (or 65829959 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131133103032 its reverse (230301331131), we get a palindrome (361434434163).

The spelling of 131133103032 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 65829871 131659742 197489613 263319484 394979226 526638968 789958452 1579916904 5463879293 10927758586 16391637879 21855517172 32783275758 43711034344 65566551516 131133103032