Search a number
-
+
103030231331300 = 225271352612152063
BaseRepresentation
bin10111011011010010011000…
…010101101111000111100100
3111111210121000222011112222212
4113123102120111233013210
5102001021403210100200
61003043233532342552
730462455115364430
oct2733223025570744
9444717028145885
10103030231331300
112a91296a659579
12b67bb48014a58
13456492ac45160
141b62992b6d9c0
15bda0bd0d5035
hex5db49856f1e4

103030231331300 has 144 divisors (see below), whose sum is σ = 275222403305472. Its totient is φ = 32601156825600.

The previous prime is 103030231331243. The next prime is 103030231331309. The reversal of 103030231331300 is 3133132030301.

It is not an unprimeable number, because it can be changed into a prime (103030231331309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46799069 + ... + 48951131.

Almost surely, 2103030231331300 is an apocalyptic number.

103030231331300 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 103030231331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137611201652736).

103030231331300 is an abundant number, since it is smaller than the sum of its proper divisors (172192171974172).

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

103030231331300 is a wasteful number, since it uses less digits than its factorization.

103030231331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157358 (or 2157351 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 103030231331300 its reverse (3133132030301), we get a palindrome (106163363361601).

The spelling of 103030231331300 in words is "one hundred three trillion, thirty billion, two hundred thirty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 5261 9100 10522 21044 26305 36827 52610 68393 73654 105220 131525 136786 147308 184135 263050 273572 341965 368270 478751 526100 683930 736540 920675 957502 1367860 1709825 1841350 1915004 2152063 2393755 3419650 3682700 4304126 4787510 6839300 8608252 9575020 10760315 11968775 15064441 21520630 23937550 27976819 30128882 43041260 47875100 53801575 55953638 60257764 75322205 107603150 111907276 139884095 150644410 195837733 215206300 279768190 301288820 376611025 391675466 559536380 699420475 753222050 783350932 979188665 1398840950 1506444100 1958377330 2797681900 3916754660 4895943325 9791886650 11322003443 19583773300 22644006886 45288013772 56610017215 79254024101 113220034430 147186044759 158508048202 226440068860 283050086075 294372089518 317016096404 396270120505 566100172150 588744179036 735930223795 792540241010 1030302313313 1132200344300 1471860447590 1585080482020 1981350602525 2060604626626 2943720895180 3679651118975 3962701205050 4121209253252 5151511566565 7359302237950 7925402410100 10303023133130 14718604475900 20606046266260 25757557832825 51515115665650 103030231331300