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2134320231300 = 2235217808751749
BaseRepresentation
bin11111000011101111011…
…001100011001110000100
321120001001110001120210120
4133003233121203032010
5234432041434400200
64312254305421540
7310125305426655
oct37035731431604
97501043046716
102134320231300
11753184146704
122a578b63a8b0
1312635b4bcb8a
1475431a2b52c
153a7ba26e9a0
hex1f0ef663384

2134320231300 has 144 divisors (see below), whose sum is σ = 6539487696000. Its totient is φ = 535595939840.

The previous prime is 2134320231259. The next prime is 2134320231341. The reversal of 2134320231300 is 31320234312.

It is an interprime number because it is at equal distance from previous prime (2134320231259) and next prime (2134320231341).

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, 41217826 + ... + 41269574.

It is an arithmetic number, because the mean of its divisors is an integer number (45413109000).

Almost surely, 22134320231300 is an apocalyptic number.

2134320231300 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 2134320231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269743848000).

2134320231300 is an abundant number, since it is smaller than the sum of its proper divisors (4405167464700).

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

2134320231300 is a wasteful number, since it uses less digits than its factorization.

2134320231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59870 (or 59863 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2134320231300 its reverse (31320234312), we get a palindrome (2165640465612).

The spelling of 2134320231300 in words is "two trillion, one hundred thirty-four billion, three hundred twenty million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 8087 16174 24261 32348 40435 48522 51749 80870 97044 103498 121305 137479 155247 161740 202175 206996 242610 258745 274958 310494 404350 412437 485220 517490 549916 606525 620988 687395 776235 808700 824874 879733 1034980 1213050 1293725 1374790 1552470 1649748 1759466 2062185 2426100 2587450 2639199 2749580 3104940 3436975 3518932 3881175 4124370 4398665 5174900 5278398 6873950 7762350 8248740 8797330 10310925 10556796 13195995 13747900 15524700 17594660 20621850 21993325 26391990 41243700 43986650 52783980 65979975 87973300 131959950 263919900 418494163 836988326 1255482489 1673976652 2092470815 2510964978 4184941630 5021929956 6277412445 7114400771 8369883260 10462354075 12554824890 14228801542 20924708150 21343202313 25109649780 28457603084 31387062225 35572003855 41849416300 42686404626 62774124450 71144007710 85372809252 106716011565 125548248900 142288015420 177860019275 213432023130 355720038550 426864046260 533580057825 711440077100 1067160115650 2134320231300