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131033001231 = 321119199734883
BaseRepresentation
bin111101000001000101…
…1001110110100001111
3110112012220201010220200
41322002023032310033
54121323422014411
6140110135544543
712316056063516
oct1720213166417
9415186633820
10131033001231
1150630793260
122148a82b153
13c482bc7a72
1464b076767d
15361d8b2e56
hex1e822ced0f

131033001231 has 48 divisors (see below), whose sum is σ = 217458483840. Its totient is φ = 75194429760.

The previous prime is 131033001227. The next prime is 131033001233. The reversal of 131033001231 is 132100330131.

It is a happy number.

131033001231 is a `hidden beast` number, since 1 + 310 + 330 + 0 + 1 + 23 + 1 = 666.

It is not a de Polignac number, because 131033001231 - 22 = 131033001227 is a prime.

It is a super-2 number, since 2×1310330012312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033001233) 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 47 ways as a sum of consecutive naturals, for example, 3738916 + ... + 3773798.

It is an arithmetic number, because the mean of its divisors is an integer number (4530385080).

Almost surely, 2131033001231 is an apocalyptic number.

131033001231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131033001231 is a deficient number, since it is larger than the sum of its proper divisors (86425482609).

131033001231 is a wasteful number, since it uses less digits than its factorization.

131033001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36916 (or 36913 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131033001231 its reverse (132100330131), we get a palindrome (263133331362).

Subtracting 131033001231 from its reverse (132100330131), we obtain a square (1067328900 = 326702).

The spelling of 131033001231 in words is "one hundred thirty-one billion, thirty-three million, one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 1997 5991 17973 21967 34883 37943 65901 104649 113829 197703 313947 341487 383713 417373 662777 1151139 1252119 1988331 3453417 3756357 5964993 7290547 21871641 65614923 69661351 208984053 626952159 766274861 1323565669 2298824583 3970697007 6896473749 11912091021 14559222359 43677667077 131033001231