Search a number
-
+
2412030411300 = 2235267971237129
BaseRepresentation
bin100011000110011000001…
…101110100001000100100
322112120212112202102202210
4203012120031310020210
5304004314241130200
65044023234403420
7336156235133346
oct43063015641044
98476775672683
102412030411300
1184aa33316264
1232b574130570
131465b8424483
1484a58709296
1542b20b52650
hex23198374224

2412030411300 has 144 divisors (see below), whose sum is σ = 7155995389760. Its totient is φ = 627075440640.

The previous prime is 2412030411299. The next prime is 2412030411319. The reversal of 2412030411300 is 31140302142.

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, 1331136 + ... + 2568264.

Almost surely, 22412030411300 is an apocalyptic number.

2412030411300 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 2412030411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577997694880).

2412030411300 is an abundant number, since it is smaller than the sum of its proper divisors (4743964978460).

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

2412030411300 is a wasteful number, since it uses less digits than its factorization.

2412030411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237310 (or 1237303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2412030411300 its reverse (31140302142), we get a palindrome (2443170713442).

The spelling of 2412030411300 in words is "two trillion, four hundred twelve billion, thirty million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 97 100 134 150 194 201 268 291 300 335 388 402 485 582 670 804 970 1005 1164 1340 1455 1675 1940 2010 2425 2910 3350 4020 4850 5025 5820 6499 6700 7275 9700 10050 12998 14550 19497 20100 25996 29100 32495 38994 64990 77988 97485 129980 162475 194970 324950 389940 487425 649900 974850 1237129 1949700 2474258 3711387 4948516 6185645 7422774 12371290 14845548 18556935 24742580 30928225 37113870 61856450 74227740 82887643 92784675 120001513 123712900 165775286 185569350 240003026 248662929 331550572 360004539 371138700 414438215 480006052 497325858 600007565 720009078 828876430 994651716 1200015130 1243314645 1440018156 1657752860 1800022695 2072191075 2400030260 2486629290 3000037825 3600045390 4144382150 4973258580 6000075650 6216573225 7200090780 8040101371 8288764300 9000113475 12000151300 12433146450 16080202742 18000226950 24120304113 24866292900 32160405484 36000453900 40200506855 48240608226 80401013710 96481216452 120601520565 160802027420 201002534275 241203041130 402005068550 482406082260 603007602825 804010137100 1206015205650 2412030411300