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1328876031231 = 3271961109316651
BaseRepresentation
bin10011010101100111001…
…011110000110011111111
311201001001122200211022100
4103111213023300303333
5133233014230444411
62454251025120143
7165002533615350
oct23254713606377
94631048624270
101328876031231
1147263396a911
12195665a89053
139840a668b58
1448464615d27
1524879031456
hex135672f0cff

1328876031231 has 96 divisors (see below), whose sum is σ = 2349301460480. Its totient is φ = 706908384000.

The previous prime is 1328876031229. The next prime is 1328876031239. The reversal of 1328876031231 is 1321306788231.

1328876031231 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 8 + 7 + 603 + 1 + 2 + 31 = 666.

It is not a de Polignac number, because 1328876031231 - 21 = 1328876031229 is a prime.

It is a super-2 number, since 2×13288760312312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328876031239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79799256 + ... + 79815906.

Almost surely, 21328876031231 is an apocalyptic number.

1328876031231 is a deficient number, since it is larger than the sum of its proper divisors (1020425429249).

1328876031231 is a wasteful number, since it uses less digits than its factorization.

1328876031231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17837 (or 17834 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1328876031231 in words is "one trillion, three hundred twenty-eight billion, eight hundred seventy-six million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 61 63 133 171 183 399 427 549 1093 1159 1197 1281 3279 3477 3843 7651 8113 9837 10431 16651 20767 22953 24339 49953 62301 66673 68859 73017 116557 145369 149859 186903 200019 316369 349671 436107 466711 600057 949107 1015711 1049013 1266787 1308321 1400133 2214583 2847321 3047133 3800361 4200399 6643749 7109977 8867509 9141399 11401083 18199543 19298509 19931247 21329931 26602527 54598629 57895527 63989793 79807581 127396801 135089563 163795887 173686581 345791317 382190403 405268689 1037373951 1110172123 1146571209 1215806067 2420539219 3112121853 3330516369 7261617657 7771204861 9991549107 21093270337 21784852971 23313614583 63279811011 69940843749 147652892359 189839433033 442958677077 1328876031231