Search a number
-
+
131000032345005 = 3353118113847303
BaseRepresentation
bin11101110010010011010010…
…011001001011101110101101
3122011211110222111022000021000
4131302103102121023232231
5114132301031240020010
61142340330053430513
736410303631324015
oct3562232231135655
9564743874260230
10131000032345005
113881689010542a
121283882593b439
135813333467185
14244c614a24c45
151022928a9d7c0
hex7724d264bbad

131000032345005 has 64 divisors (see below), whose sum is σ = 233925932298240. Its totient is φ = 69556142318400.

The previous prime is 131000032345001. The next prime is 131000032345019. The reversal of 131000032345005 is 500543230000131.

131000032345005 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 0 + 3 + 2 + 345 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 131000032345005 - 22 = 131000032345001 is a prime.

It is a super-3 number, since 3×1310000323450053 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131000032345005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000032345001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32126184 + ... + 35973486.

It is an arithmetic number, because the mean of its divisors is an integer number (3655092692160).

Almost surely, 2131000032345005 is an apocalyptic number.

131000032345005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131000032345005 is a deficient number, since it is larger than the sum of its proper divisors (102925899953235).

131000032345005 is a wasteful number, since it uses less digits than its factorization.

131000032345005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848439 (or 3848433 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 131000032345005 its reverse (500543230000131), we get a palindrome (631543262345136).

The spelling of 131000032345005 in words is "one hundred thirty-one trillion, thirty-two million, three hundred forty-five thousand, five".

Divisors: 1 3 5 9 15 27 45 135 311 811 933 1555 2433 2799 4055 4665 7299 8397 12165 13995 21897 36495 41985 109485 252221 756663 1261105 2269989 3783315 3847303 6809967 11349945 11541909 19236515 34049835 34625727 57709545 103877181 173128635 519385905 1196511233 3120162733 3589533699 5982556165 9360488199 10768601097 15600813665 17947668495 28081464597 32305803291 46802440995 53843005485 84244393791 140407322985 161529016455 421221968955 970370609963 2911111829889 4851853049815 8733335489667 14555559149445 26200006469001 43666677448335 131000032345005