Search a number
-
+
1128313077080 = 235771109520699
BaseRepresentation
bin10000011010110100101…
…100110011110101011000
310222212101002010002220012
4100122310230303311120
5121441241121431310
62222201225021052
7144342435624530
oct20326454636530
93885332102805
101128313077080
113a5573353952
12162811924788
1382526822117
143c8798724c0
151e53b45ac05
hex106b4b33d58

1128313077080 has 128 divisors (see below), whose sum is σ = 2969239680000. Its totient is φ = 377901780480.

The previous prime is 1128313077013. The next prime is 1128313077091. The reversal of 1128313077080 is 807703138211.

It is a super-3 number, since 3×11283130770803 (a number of 37 digits) contains 333 as substring.

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, 1906571 + ... + 2427269.

It is an arithmetic number, because the mean of its divisors is an integer number (23197185000).

Almost surely, 21128313077080 is an apocalyptic number.

1128313077080 is a gapful number since it is divisible by the number (10) 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 1128313077080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484619840000).

1128313077080 is an abundant number, since it is smaller than the sum of its proper divisors (1840926602920).

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

1128313077080 is a wasteful number, since it uses less digits than its factorization.

1128313077080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520897 (or 520893 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 1128313077080 in words is "one trillion, one hundred twenty-eight billion, three hundred thirteen million, seventy-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 109 140 142 218 280 284 355 436 497 545 568 710 763 872 994 1090 1420 1526 1988 2180 2485 2840 3052 3815 3976 4360 4970 6104 7630 7739 9940 15260 15478 19880 30520 30956 38695 54173 61912 77390 108346 154780 216692 270865 309560 433384 520699 541730 1041398 1083460 2082796 2166920 2603495 3644893 4165592 5206990 7289786 10413980 14579572 18224465 20827960 29159144 36448930 36969629 56756191 72897860 73939258 113512382 145795720 147878516 184848145 227024764 258787403 283780955 295757032 369696290 397293337 454049528 517574806 567561910 739392580 794586674 1035149612 1135123820 1293937015 1478785160 1589173348 1986466685 2070299224 2270247640 2587874030 3178346696 3972933370 4029689561 5175748060 7945866740 8059379122 10351496120 15891733480 16118758244 20148447805 28207826927 32237516488 40296895610 56415653854 80593791220 112831307708 141039134635 161187582440 225662615416 282078269270 564156538540 1128313077080