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1311254026104 = 2331147157673109
BaseRepresentation
bin10011000101001100110…
…101001001011101111000
311122100120112210012202210
4103011030311021131320
5132440422012313404
62442214244255120
7163510045215201
oct23051465113570
94570515705683
101311254026104
11466110793610
121921683a14a0
139685c843b99
14476720a25a8
1524196e41689
hex1314cd49778

1311254026104 has 128 divisors (see below), whose sum is σ = 3675503692800. Its totient is φ = 386417840640.

The previous prime is 1311254026097. The next prime is 1311254026123. The reversal of 1311254026104 is 4016204521131.

It is a congruent number.

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, 1611502 + ... + 2284610.

It is an arithmetic number, because the mean of its divisors is an integer number (28714872600).

Almost surely, 21311254026104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311254026104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837751846400).

1311254026104 is an abundant number, since it is smaller than the sum of its proper divisors (2364249666696).

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

1311254026104 is a wasteful number, since it uses less digits than its factorization.

1311254026104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673333 (or 673329 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1311254026104 its reverse (4016204521131), we get a palindrome (5327458547235).

The spelling of 1311254026104 in words is "one trillion, three hundred eleven billion, two hundred fifty-four million, twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 157 188 264 282 314 376 471 517 564 628 942 1034 1128 1256 1551 1727 1884 2068 3102 3454 3768 4136 5181 6204 6908 7379 10362 12408 13816 14758 20724 22137 29516 41448 44274 59032 81169 88548 162338 177096 243507 324676 487014 649352 673109 974028 1346218 1948056 2019327 2692436 4038654 5384872 7404199 8077308 14808398 16154616 22212597 29616796 31636123 44425194 59233592 63272246 88850388 94908369 105678113 126544492 177700776 189816738 211356226 253088984 317034339 347997353 379633476 422712452 634068678 695994706 759266952 845424904 1043992059 1162459243 1268137356 1391989412 2087984118 2324918486 2536274712 2783978824 3487377729 4175968236 4649836972 4966871311 6974755458 8351936472 9299673944 9933742622 13949510916 14900613933 19867485244 27899021832 29801227866 39734970488 54635584421 59602455732 109271168842 119204911464 163906753263 218542337684 327813506526 437084675368 655627013052 1311254026104