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103120320140 = 22523314323911
BaseRepresentation
bin110000000001001110…
…0110011011010001100
3100212011122002000210022
41200002130303122030
53142142300221030
6115212310201312
710310263154525
oct1400234633214
9325148060708
10103120320140
113a807806882
1217b9a953238
139955100816
144dc362784c
152a38148de5
hex180273368c

103120320140 has 144 divisors (see below), whose sum is σ = 238869098496. Its totient is φ = 37284508800.

The previous prime is 103120320137. The next prime is 103120320157. The reversal of 103120320140 is 41023021301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26364785 + ... + 26368695.

It is an arithmetic number, because the mean of its divisors is an integer number (1658813184).

Almost surely, 2103120320140 is an apocalyptic number.

103120320140 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 103120320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119434549248).

103120320140 is an abundant number, since it is smaller than the sum of its proper divisors (135748778356).

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

103120320140 is a wasteful number, since it uses less digits than its factorization.

103120320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103120320140 its reverse (41023021301), we get a palindrome (144143341441).

The spelling of 103120320140 in words is "one hundred three billion, one hundred twenty million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 43 46 62 86 92 115 124 155 172 215 230 310 430 460 620 713 860 989 1333 1426 1849 1978 2666 2852 3565 3698 3911 3956 4945 5332 6665 7130 7396 7822 9245 9890 13330 14260 15644 18490 19555 19780 26660 30659 36980 39110 42527 57319 61318 78220 85054 89953 114638 121241 122636 153295 168173 170108 179906 212635 229276 242482 286595 306590 336346 359812 425270 449765 484964 573190 606205 613180 672692 840865 850540 899530 1146380 1212410 1318337 1681730 1799060 2424820 2636674 2788543 3363460 3867979 5213363 5273348 5577086 6591685 7231439 7735958 10426726 11154172 13183370 13942715 14462878 15471916 19339895 20853452 26066815 26366740 27885430 28925756 36157195 38679790 52133630 55770860 72314390 77359580 104267260 119907349 144628780 166323097 224174609 239814698 332646194 448349218 479629396 599536745 665292388 831615485 896698436 1120873045 1199073490 1663230970 2241746090 2398146980 3326461940 4483492180 5156016007 10312032014 20624064028 25780080035 51560160070 103120320140