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130441233133211 = 711134713919946567
BaseRepresentation
bin11101101010001010110111…
…010111010110111010011011
3122002212001121210222212000112
4131222022313113112322123
5114044122121140230321
61141231513015154535
736322032233360030
oct3552126727267233
9562761553885015
10130441233133211
11386208a8564920
1212768475075a4b
1357a272b59b3b0
14242d564605387
151013120d5ba5b
hex76a2b75d6e9b

130441233133211 has 64 divisors (see below), whose sum is σ = 180151019274240. Its totient is φ = 91166976696960.

The previous prime is 130441233133139. The next prime is 130441233133213. The reversal of 130441233133211 is 112331332144031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130441233133211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130441233133213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3433751 + ... + 16512816.

It is an arithmetic number, because the mean of its divisors is an integer number (2814859676160).

Almost surely, 2130441233133211 is an apocalyptic number.

130441233133211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130441233133211 is a deficient number, since it is larger than the sum of its proper divisors (49709786141029).

130441233133211 is a wasteful number, since it uses less digits than its factorization.

130441233133211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19946784.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 130441233133211 its reverse (112331332144031), we get a palindrome (242772565277242).

The spelling of 130441233133211 in words is "one hundred thirty trillion, four hundred forty-one billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred eleven".

Divisors: 1 7 11 13 47 77 91 139 143 329 517 611 973 1001 1529 1807 3619 4277 6533 6721 10703 12649 19877 45731 47047 71863 84929 139139 503041 594503 934219 6539533 19946567 139625969 219412237 259305371 937488649 1535885659 1815137597 2772572813 2852359081 6562420543 10312375139 12187352437 19408009691 19966513567 30498300943 36043446569 72186625973 85311467059 130310922211 134060876807 213488106601 252304125983 396477912259 912176455477 938426137649 1433420144321 1694041988743 2775345385813 10033941010247 11858293921201 18634461876173 130441233133211