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132001222024 = 23716325756269
BaseRepresentation
bin111101011101111100…
…0101100110110001000
3110121201101120212011001
41322323320230312020
54130314303101044
6140350204144344
712352053605620
oct1727370546610
9417641525131
10132001222024
1150a88280931
12216bab380b4
13c5a8689189
1465631a1880
1536788b82d4
hex1ebbe2cd88

132001222024 has 64 divisors (see below), whose sum is σ = 285707548800. Its totient is φ = 56005115904.

The previous prime is 132001222007. The next prime is 132001222049. The reversal of 132001222024 is 420222100231.

It is a junction number, because it is equal to n+sod(n) for n = 132001221992 and 132001222010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317762 + ... + 2374030.

It is an arithmetic number, because the mean of its divisors is an integer number (4464180450).

Almost surely, 2132001222024 is an apocalyptic number.

132001222024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132001222024 is an abundant number, since it is smaller than the sum of its proper divisors (153706326776).

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

132001222024 is a wasteful number, since it uses less digits than its factorization.

132001222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56702 (or 56698 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 132001222024 its reverse (420222100231), we get a palindrome (552223322255).

It can be divided in two parts, 132001 and 222024, that added together give a square (354025 = 5952).

The spelling of 132001222024 in words is "one hundred thirty-two billion, one million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 163 257 326 514 652 1028 1141 1304 1799 2056 2282 3598 4564 7196 9128 14392 41891 56269 83782 112538 167564 225076 293237 335128 393883 450152 586474 787766 1172948 1575532 2345896 3151064 9171847 14461133 18343694 28922266 36687388 57844532 64202929 73374776 101227931 115689064 128405858 202455862 256811716 404911724 513623432 809823448 2357164679 4714329358 9428658716 16500152753 18857317432 33000305506 66000611012 132001222024