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103131041200 = 24521129808237
BaseRepresentation
bin110000000001100010…
…1101100110110110000
3100212012101020201022121
41200003011230312300
53142203021304300
6115213332044024
710310453246335
oct1400305546660
9325171221277
10103131041200
113a812869760
1217ba2463614
1399573b5645
144dc4c1898c
152a3906581a
hex180316cdb0

103131041200 has 120 divisors (see below), whose sum is σ = 279618018480. Its totient is φ = 36208972800.

The previous prime is 103131041183. The next prime is 103131041207. The reversal of 103131041200 is 2140131301.

103131041200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103131041207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276519 + ... + 531718.

It is an arithmetic number, because the mean of its divisors is an integer number (2330150154).

Almost surely, 2103131041200 is an apocalyptic number.

103131041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103131041200 is an abundant number, since it is smaller than the sum of its proper divisors (176486977280).

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

103131041200 is a wasteful number, since it uses less digits than its factorization.

103131041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808295 (or 808284 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103131041200 its reverse (2140131301), we get a palindrome (105271172501).

The spelling of 103131041200 in words is "one hundred three billion, one hundred thirty-one million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 11600 12760 15950 25520 31900 63800 127600 808237 1616474 3232948 4041185 6465896 8082370 8890607 12931792 16164740 17781214 20205925 23438873 32329480 35562428 40411850 44453035 46877746 64658960 71124856 80823700 88906070 93755492 117194365 142249712 161647400 177812140 187510984 222265175 234388730 257827603 323294800 355624280 375021968 444530350 468777460 515655206 585971825 711248560 889060700 937554920 1031310412 1171943650 1289138015 1778121400 1875109840 2062620824 2343887300 2578276030 3556242800 4125241648 4687774600 5156552060 6445690075 9375549200 10313104120 12891380150 20626208240 25782760300 51565520600 103131041200