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331131303001131 = 31719366079334957
BaseRepresentation
bin100101101001010011000001…
…1101100000111110000101011
31121102102211202211211022222020
41023102212003230013300223
5321400223402032014011
63132131342012555523
7126514306243052643
oct11322460354076053
91542384684738866
10331131303001131
1196565aa6a72636
123117b56b482ba3
131129c7179303b9
145baabaa797523
1528437422e7006
hex12d2983b07c2b

331131303001131 has 32 divisors (see below), whose sum is σ = 492097165148160. Its totient is φ = 196828070017536.

The previous prime is 331131303001111. The next prime is 331131303001141. The reversal of 331131303001131 is 131100303131133.

It is not a de Polignac number, because 331131303001131 - 210 = 331131303000107 is a prime.

It is a super-2 number, since 2×3311313030011312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331131303001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30804705 + ... + 40139661.

It is an arithmetic number, because the mean of its divisors is an integer number (15378036410880).

Almost surely, 2331131303001131 is an apocalyptic number.

331131303001131 is a deficient number, since it is larger than the sum of its proper divisors (160965862147029).

331131303001131 is a wasteful number, since it uses less digits than its factorization.

331131303001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371603.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 331131303001131 its reverse (131100303131133), we get a palindrome (462231606132264).

The spelling of 331131303001131 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, three hundred three million, one thousand, one hundred thirty-one".

Divisors: 1 3 17 19 51 57 323 969 36607 109821 622319 695533 1866957 2086599 9334957 11824061 28004871 35472183 158694269 177364183 476082807 532092549 3015191111 9045573333 341724770899 1025174312697 5809321105283 6492770647081 17427963315849 19478311941243 110377101000377 331131303001131