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4102303141300 = 22527131019442397
BaseRepresentation
bin111011101100100100010…
…100100100110110110100
3112112011202120002202002111
4323230210110210312310
51014203004101010200
612420323321220404
7602244616235230
oct73544424446664
915464676082074
104102303141300
1113418601a3931
12563079031704
13239acb810080
141027a42095c0
1571a9c4d70ba
hex3bb24524db4

4102303141300 has 144 divisors (see below), whose sum is σ = 10967081811840. Its totient is φ = 1297034288640.

The previous prime is 4102303141283. The next prime is 4102303141357. The reversal of 4102303141300 is 31413032014.

4102303141300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 9051702 + ... + 9494098.

It is an arithmetic number, because the mean of its divisors is an integer number (76160290360).

Almost surely, 24102303141300 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 4102303141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483540905920).

4102303141300 is an abundant number, since it is smaller than the sum of its proper divisors (6864778670540).

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

4102303141300 is a wasteful number, since it uses less digits than its factorization.

4102303141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443450 (or 443443 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 4102303141300 its reverse (31413032014), we get a palindrome (4133716173314).

The spelling of 4102303141300 in words is "four trillion, one hundred two billion, three hundred three million, one hundred forty-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 1019 1300 1820 2038 2275 4076 4550 5095 7133 9100 10190 13247 14266 20380 25475 26494 28532 35665 50950 52988 66235 71330 92729 101900 132470 142660 178325 185458 264940 331175 356650 370916 442397 463645 662350 713300 884794 927290 1324700 1769588 1854580 2211985 2318225 3096779 4423970 4636450 5751161 6193558 8847940 9272900 11059925 11502322 12387116 15483895 22119850 23004644 28755805 30967790 40258127 44239700 57511610 61935580 77419475 80516254 115023220 143779025 154838950 161032508 201290635 287558050 309677900 402581270 450802543 575116100 805162540 901605086 1006453175 1803210172 2012906350 2254012715 3155617801 4025812700 4508025430 5860433059 6311235602 9016050860 11270063575 11720866118 12622471204 15778089005 22540127150 23441732236 29302165295 31556178010 41023031413 45080254300 58604330590 63112356020 78890445025 82046062826 117208661180 146510826475 157780890050 164092125652 205115157065 293021652950 315561780100 410230314130 586043305900 820460628260 1025575785325 2051151570650 4102303141300