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1132312441000 = 235313222139217
BaseRepresentation
bin10000011110100011000…
…101001011000010101000
311000020200210121211210211
4100132203011023002220
5122022433441103000
62224102133150504
7144543520641616
oct20364305130250
94006623554724
101132312441000
113a7235943194
1216354918b434
1382a13280150
143cb38a9c6b6
151e6c26077ba
hex107a314b0a8

1132312441000 has 128 divisors (see below), whose sum is σ = 2854784892960. Its totient is φ = 417885696000.

The previous prime is 1132312440997. The next prime is 1132312441049. The reversal of 1132312441000 is 1442132311.

It can be written as a sum of positive squares in 16 ways, for example, as 278946647716 + 853365793284 = 528154^2 + 923778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28853392 + ... + 28892608.

Almost surely, 21132312441000 is an apocalyptic number.

1132312441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132312441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427392446480).

1132312441000 is an abundant number, since it is smaller than the sum of its proper divisors (1722472451960).

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

1132312441000 is a wasteful number, since it uses less digits than its factorization.

1132312441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41472 (or 41458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1132312441000 its reverse (1442132311), we get a palindrome (1133754573311).

The spelling of 1132312441000 in words is "one trillion, one hundred thirty-two billion, three hundred twelve million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2221 2600 3250 4442 6500 8884 11105 13000 17768 22210 28873 39217 44420 55525 57746 78434 88840 111050 115492 144365 156868 196085 222100 230984 277625 288730 313736 392170 444200 509821 555250 577460 721825 784340 980425 1019642 1110500 1154920 1443650 1568680 1960850 2039284 2221000 2549105 2887300 3609125 3921700 4078568 4902125 5098210 5774600 7218250 7843400 9804250 10196420 12745525 14436500 19608500 20392840 25491050 28873000 39217000 50982100 63727625 87100957 101964200 127455250 174201914 254910500 348403828 435504785 509821000 696807656 871009570 1132312441 1742019140 2177523925 2264624882 3484038280 4355047850 4529249764 5661562205 8710095700 9058499528 10887619625 11323124410 17420191400 21775239250 22646248820 28307811025 43550478500 45292497640 56615622050 87100957000 113231244100 141539055125 226462488200 283078110250 566156220500 1132312441000