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131001033341003 = 7261149294145723
BaseRepresentation
bin11101110010010100001110…
…000011101011100001001011
3122011211120120020211212121212
4131302110032003223201023
5114132310104013403003
61142341013252323335
736410340504543500
oct3562241603534113
9564746506755555
10131001033341003
1138817254149551
1212838a6501354b
1358134629627b7
14244c6ab9514a7
1510229868c9dd8
hex77250e0eb84b

131001033341003 has 24 divisors (see below), whose sum is σ = 155926648292400. Its totient is φ = 109704588477120.

The previous prime is 131001033340981. The next prime is 131001033341029. The reversal of 131001033341003 is 300143330100131.

It is a de Polignac number, because none of the positive numbers 2k-131001033341003 is a prime.

It is a super-2 number, since 2×1310010333410032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131001033341003.

It is not an unprimeable number, because it can be changed into a prime (131001033341083) 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 23 ways as a sum of consecutive naturals, for example, 146627501 + ... + 147518222.

It is an arithmetic number, because the mean of its divisors is an integer number (6496943678850).

Almost surely, 2131001033341003 is an apocalyptic number.

131001033341003 is a deficient number, since it is larger than the sum of its proper divisors (24925614951397).

131001033341003 is a wasteful number, since it uses less digits than its factorization.

131001033341003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294145947 (or 294145940 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131001033341003 its reverse (300143330100131), we get a palindrome (431144363441134).

The spelling of 131001033341003 in words is "one hundred thirty-one trillion, one billion, thirty-three million, three hundred forty-one thousand, three".

Divisors: 1 7 49 61 149 427 1043 2989 7301 9089 63623 445361 294145723 2059020061 14413140427 17942889103 43827712727 125600223721 306793989089 879201566047 2147557923623 2673490476347 18714433334429 131001033341003