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1305460512132 = 22374337113441
BaseRepresentation
bin10010111111110011100…
…000101001010110000100
311121210121210021012200020
4102333303200221112010
5132342040342342012
62435415325215140
7163213346160000
oct22776340512604
94553553235606
101305460512132
11463708475837
121910101014b0
13961484936ca
1447282883700
1523e584e4a8c
hex12ff3829584

1305460512132 has 120 divisors (see below), whose sum is σ = 3554860781472. Its totient is φ = 372850329600.

The previous prime is 1305460512071. The next prime is 1305460512157. The reversal of 1305460512132 is 2312150645031.

It is a junction number, because it is equal to n+sod(n) for n = 1305460512093 and 1305460512102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97118532 + ... + 97131972.

Almost surely, 21305460512132 is an apocalyptic number.

1305460512132 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 1305460512132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777430390736).

1305460512132 is an abundant number, since it is smaller than the sum of its proper divisors (2249400269340).

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

1305460512132 is a wasteful number, since it uses less digits than its factorization.

1305460512132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847 (or 16824 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1305460512132 in words is "one trillion, three hundred five billion, four hundred sixty million, five hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2401 3371 4116 4802 6742 7203 9604 10113 13441 13484 14406 20226 23597 26882 28812 40323 40452 47194 53764 70791 80646 94087 94388 141582 161292 165179 188174 282261 283164 330358 376348 495537 564522 658609 660716 991074 1129044 1156253 1317218 1975827 1982148 2312506 2634436 3468759 3951654 4610263 4625012 6937518 7903308 8093771 9220526 13830789 13875036 16187542 18441052 24281313 27661578 32271841 32375084 45309611 48562626 55323156 64543682 90619222 96815523 97125252 129087364 135928833 181238444 193631046 271857666 317167277 387262092 543715332 634334554 951501831 1268669108 1903003662 2220170939 3806007324 4440341878 6660512817 8880683756 13321025634 15541196573 26642051268 31082393146 46623589719 62164786292 93247179438 108788376011 186494358876 217576752022 326365128033 435153504044 652730256066 1305460512132