Search a number
-
+
1001030300312 = 237611138772957
BaseRepresentation
bin11101001000100100000…
…11100011001010011000
310112200211112010002210212
432210102003203022120
5112400102224102222
62043511133230252
7132215315106020
oct16442203431230
93480745102725
101001030300312
11356597564859
1214200b032388
13735208845b3
1436643200a80
151b08be306e2
hexe9120e3298

1001030300312 has 128 divisors (see below), whose sum is σ = 2202776691840. Its totient is φ = 417627463680.

The previous prime is 1001030300299. The next prime is 1001030300329. The reversal of 1001030300312 is 2130030301001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338527538 + ... + 338530494.

It is an arithmetic number, because the mean of its divisors is an integer number (17209192905).

Almost surely, 21001030300312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001030300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101388345920).

1001030300312 is an abundant number, since it is smaller than the sum of its proper divisors (1201746391528).

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

1001030300312 is a wasteful number, since it uses less digits than its factorization.

1001030300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1001030300312 its reverse (2130030301001), we get a palindrome (3131060601313).

The spelling of 1001030300312 in words is "one trillion, one billion, thirty million, three hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 61 113 122 226 244 427 452 488 791 854 877 904 1582 1708 1754 2957 3164 3416 3508 5914 6139 6328 6893 7016 11828 12278 13786 20699 23656 24556 27572 41398 48251 49112 53497 55144 82796 96502 99101 106994 165592 180377 193004 198202 213988 334141 360754 374479 386008 396404 427976 668282 693707 721508 748958 792808 1262639 1336564 1387414 1443016 1497916 2338987 2525278 2593289 2673128 2774828 2995832 4677974 5050556 5186578 5549656 6045161 9355948 10101112 10373156 12090322 18153023 18711896 20382601 20746312 24180644 36306046 40765202 42316127 48361288 72612092 81530404 84632254 142678207 145224184 158190629 163060808 169264508 285356414 293041657 316381258 338529016 570712828 586083314 632762516 1107334403 1141425656 1172166628 1265525032 2051291599 2214668806 2344333256 4102583198 4429337612 8205166396 8858675224 16410332792 17875541077 35751082154 71502164308 125128787539 143004328616 250257575078 500515150156 1001030300312