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132130023211104 = 253127223251193619
BaseRepresentation
bin11110000010101111101011…
…000110010000000001100000
3122022211111200111110122000020
4132002233223012100001200
5114304304241420223404
61145003410015353440
736555036102235662
oct3602575306200140
9568744614418006
10132130023211104
1139112034530a76
121299b825522880
135895a66759c59
14248b1ad23a532
151042012471ed9
hex782beb190060

132130023211104 has 192 divisors, whose sum is σ = 352540718530560. Its totient is φ = 43327061568000.

The previous prime is 132130023211063. The next prime is 132130023211127. The reversal of 132130023211104 is 401112320031231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 682326007 + ... + 682519625.

It is an arithmetic number, because the mean of its divisors is an integer number (1836149575680).

Almost surely, 2132130023211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130023211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176270359265280).

132130023211104 is an abundant number, since it is smaller than the sum of its proper divisors (220410695319456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132130023211104 is a wasteful number, since it uses less digits than its factorization.

132130023211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194233 (or 194225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132130023211104 its reverse (401112320031231), we get a palindrome (533242343242335).

The spelling of 132130023211104 in words is "one hundred thirty-two trillion, one hundred thirty billion, twenty-three million, two hundred eleven thousand, one hundred four".