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2134003031200 = 255237551913063
BaseRepresentation
bin11111000011011100011…
…111100001110010100000
321120000020100012011001201
4133003130133201302200
5234430414233444300
64312203015010544
7310114404322225
oct37033437416240
97500210164051
102134003031200
11753031094567
122a5701369a54
1312630a87c201
147540185b94c
153a79c4b466a
hex1f0dc7e1ca0

2134003031200 has 144 divisors (see below), whose sum is σ = 5351814961920. Its totient is φ = 830316856320.

The previous prime is 2134003031143. The next prime is 2134003031221. The reversal of 2134003031200 is 21303004312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163355869 + ... + 163368931.

It is an arithmetic number, because the mean of its divisors is an integer number (37165381680).

Almost surely, 22134003031200 is an apocalyptic number.

2134003031200 is a gapful number since it is divisible by the number (20) 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 2134003031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675907480960).

2134003031200 is an abundant number, since it is smaller than the sum of its proper divisors (3217811930720).

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

2134003031200 is a wasteful number, since it uses less digits than its factorization.

2134003031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18639 (or 18626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2134003031200 its reverse (21303004312), we get a palindrome (2155306035512).

The spelling of 2134003031200 in words is "two trillion, one hundred thirty-four billion, three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 5519 5920 7400 11038 13063 14800 22076 26126 27595 29600 44152 52252 55190 65315 88304 104504 110380 130630 137975 176608 204203 209008 220760 261260 275950 326575 408406 418016 441520 483331 522520 551900 653150 816812 883040 966662 1021015 1045040 1103800 1306300 1633624 1933324 2042030 2090080 2207600 2416655 2612600 3267248 3866648 4084060 4415200 4833310 5105075 5225200 6534496 7733296 8168120 9666620 10210150 10450400 12083275 15466592 16336240 19333240 20420300 24166550 32672480 38666480 40840600 48333100 72094697 77332960 81681200 96666200 144189394 163362400 193332400 288378788 360473485 386664800 576757576 720946970 1153515152 1441893940 1802367425 2307030304 2667503789 2883787880 3604734850 5335007578 5767575760 7209469700 10670015156 11535151520 13337518945 14418939400 21340030312 26675037890 28837878800 42680060624 53350075780 57675757600 66687594725 85360121248 106700151560 133375189450 213400303120 266750378900 426800606240 533500757800 1067001515600 2134003031200