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1001212365340 = 22511171997134053
BaseRepresentation
bin11101001000111001110…
…10000100101000011100
310112201022012200222002001
432210130322010220130
5112400440331142330
62043541155412044
7132222655454605
oct16443472045034
93481265628061
101001212365340
11356680307a20
1214205bbb4024
137354c4cc395
143665d474dac
151b09cde59ca
hexe91ce84a1c

1001212365340 has 96 divisors (see below), whose sum is σ = 2429843500224. Its totient is φ = 342486773760.

The previous prime is 1001212365317. The next prime is 1001212365343. The reversal of 1001212365340 is 435632121001.

It is a junction number, because it is equal to n+sod(n) for n = 1001212365299 and 1001212365308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001212365343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7401754 + ... + 7535806.

It is an arithmetic number, because the mean of its divisors is an integer number (25310869794).

Almost surely, 21001212365340 is an apocalyptic number.

1001212365340 is a gapful number since it is divisible by the number (10) 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 1001212365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214921750112).

1001212365340 is an abundant number, since it is smaller than the sum of its proper divisors (1428631134884).

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

1001212365340 is a wasteful number, since it uses less digits than its factorization.

1001212365340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136087 (or 136085 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1001212365340 its reverse (435632121001), we get a palindrome (1436844486341).

The spelling of 1001212365340 in words is "one trillion, one billion, two hundred twelve million, three hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 1997 3740 3994 7988 9985 19970 21967 33949 39940 43934 67898 87868 109835 134053 135796 169745 219670 268106 339490 373439 439340 536212 670265 678980 746878 1340530 1474583 1493756 1867195 2278901 2681060 2949166 3734390 4557802 5898332 7372915 7468780 9115604 11394505 14745830 22789010 25067911 29491660 45578020 50135822 100271644 125339555 250679110 267703841 501358220 535407682 1070815364 1338519205 2677038410 2944742251 4550965297 5354076820 5889484502 9101930594 11778969004 14723711255 18203861188 22754826485 29447422510 45509652970 50060618267 58894845020 91019305940 100121236534 200242473068 250303091335 500606182670 1001212365340