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1320231331302 = 23131371993831621
BaseRepresentation
bin10011001101100011111…
…010110110010111100110
311200012202012011120100220
4103031203322312113212
5133112313210100202
62450301135145210
7164245364104512
oct23154372662746
94605665146326
101320231331302
114699a8193904
12193a52975206
13976606a92b0
1447c8448b142
1524520138abc
hex13363eb65e6

1320231331302 has 128 divisors (see below), whose sum is σ = 2888021606400. Its totient is φ = 399938964480.

The previous prime is 1320231331273. The next prime is 1320231331303. The reversal of 1320231331302 is 2031331320231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320231331303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814454052 + ... + 814455672.

It is an arithmetic number, because the mean of its divisors is an integer number (22562668800).

Almost surely, 21320231331302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320231331302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444010803200).

1320231331302 is an abundant number, since it is smaller than the sum of its proper divisors (1567790275098).

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

1320231331302 is a wasteful number, since it uses less digits than its factorization.

1320231331302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358.

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

Adding to 1320231331302 its reverse (2031331320231), we get a palindrome (3351562651533).

The spelling of 1320231331302 in words is "one trillion, three hundred twenty billion, two hundred thirty-one million, three hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 78 137 199 274 383 398 411 597 766 822 1149 1194 1621 1781 2298 2587 3242 3562 4863 4979 5174 5343 7761 9726 9958 10686 14937 15522 21073 27263 29874 42146 52471 54526 63219 76217 81789 104942 126438 152434 157413 163578 222077 228651 314826 322579 354419 444154 457302 620843 645158 666231 682123 708838 967737 990821 1063257 1241686 1332462 1364246 1862529 1935474 1981642 2046369 2126514 2887001 2972463 3725058 4092738 4193527 5774002 5944926 8070959 8387054 8661003 10441729 12580581 16141918 17322006 20883458 24212877 25161162 31325187 44193323 48425754 62650374 85055491 88386646 123547757 132579969 135742477 170110982 247095514 255166473 265159938 271484954 370643271 407227431 510332946 574513199 741286542 814454862 1105721383 1149026398 1606120841 1723539597 2211442766 3212241682 3317164149 3447079194 4818362523 6634328298 9636725046 16926042709 33852085418 50778128127 101556256254 220038555217 440077110434 660115665651 1320231331302