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231325424523132 = 223307827603712577
BaseRepresentation
bin110100100110001110100101…
…110000011001011101111100
31010100001111100120101212100120
4310212032211300121131330
5220310013432134220012
62135553233304054540
766503465444406522
oct6446164560313574
91110044316355316
10231325424523132
116778661a558085
1221b40500764450
139c0cb80c78494
14411a2d304c312
151bb2489d6a58c
hexd263a5c1977c

231325424523132 has 96 divisors (see below), whose sum is σ = 542305218647808. Its totient is φ = 76745553905664.

The previous prime is 231325424523113. The next prime is 231325424523139.

231325424523132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2313254245231322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231325424523139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18392728428 + ... + 18392741004.

It is an arithmetic number, because the mean of its divisors is an integer number (5649012694248).

Almost surely, 2231325424523132 is an apocalyptic number.

It is an amenable number.

231325424523132 is an abundant number, since it is smaller than the sum of its proper divisors (310979794124676).

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

231325424523132 is a wasteful number, since it uses less digits than its factorization.

231325424523132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19755 (or 19753 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 231325424523132 in words is "two hundred thirty-one trillion, three hundred twenty-five billion, four hundred twenty-four million, five hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 307 614 827 921 1228 1654 1842 2481 3308 3684 4962 6037 9924 12074 12577 18111 24148 25154 36222 37731 50308 72444 75462 150924 253889 507778 761667 1015556 1523334 1853359 3046668 3706718 3861139 4992599 5560077 7413436 7722278 9985198 10401179 11120154 11583417 14977797 15444556 19970396 20802358 22240308 23166834 29955594 31203537 41604716 46333668 59911188 62407074 75927349 124814148 151854698 227782047 303709396 455564094 911128188 1532727893 3065455786 3193161953 4598183679 6130911572 6386323906 9196367358 9579485859 12772647812 18392734716 19158971718 23309696143 38317943436 46619392286 62791917623 69929088429 93238784572 125583835246 139858176858 188375752869 251167670492 279716353716 376751505738 753503011476 19277118710261 38554237420522 57831356130783 77108474841044 115662712261566 231325424523132