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1331023201332 = 22311372437111829
BaseRepresentation
bin10011010111100111001…
…010100100010000110100
311201020121021222100221220
4103113213022210100310
5133301413414420312
62455244050310340
7165106665352446
oct23274712442064
94636537870856
101331023201332
11473535996560
12195b64b883b0
1398690460cc6
14485c9860496
15249527b4c8c
hex135e72a4434

1331023201332 has 96 divisors (see below), whose sum is σ = 3481087182720. Its totient is φ = 392274731520.

The previous prime is 1331023201273. The next prime is 1331023201337. The reversal of 1331023201332 is 2331023201331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331023201337) by changing a digit.

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, 11846394 + ... + 11958222.

It is an arithmetic number, because the mean of its divisors is an integer number (36261324820).

Almost surely, 21331023201332 is an apocalyptic number.

1331023201332 is a gapful number since it is divisible by the number (12) 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 1331023201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740543591360).

1331023201332 is an abundant number, since it is smaller than the sum of its proper divisors (2150063981388).

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

1331023201332 is a wasteful number, since it uses less digits than its factorization.

1331023201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114321 (or 114319 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1331023201332 its reverse (2331023201331), we get a palindrome (3662046402663).

Subtracting 1331023201332 from its reverse (2331023201331), we obtain a palindrome (999999999999).

The spelling of 1331023201332 in words is "one trillion, three hundred thirty-one billion, twenty-three million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2437 2442 4874 4884 7311 9748 14622 26807 29244 53614 80421 90169 107228 111829 160842 180338 223658 270507 321684 335487 360676 447316 541014 670974 991859 1082028 1230119 1341948 1983718 2460238 2975577 3690357 3967436 4137673 4920476 5951154 7380714 8275346 11902308 12413019 14761428 16550692 24826038 45514403 49652076 91028806 136543209 182057612 272527273 273086418 545054546 546172836 817581819 1090109092 1635163638 2997800003 3270327276 5995600006 8993400009 10083509101 11991200012 17986800018 20167018202 30250527303 35973600036 40334036404 60501054606 110918600111 121002109212 221837200222 332755800333 443674400444 665511600666 1331023201332