Search a number
-
+
1050605010104 = 2313178321133931
BaseRepresentation
bin11110100100111001111…
…00000011110010111000
310201102210110200021221112
433102130330003302320
5114203114340310404
62122350303255452
7135621654145436
oct17223474036270
93642713607845
101050605010104
11375617158aa1
1214b7455aa588
13780c14996c0
1438bc7265d56
151c4de2b856e
hexf49cf03cb8

1050605010104 has 128 divisors (see below), whose sum is σ = 2284106791680. Its totient is φ = 448722892800.

The previous prime is 1050605010061. The next prime is 1050605010137. The reversal of 1050605010104 is 4010105060501.

It is a super-2 number, since 2×10506050101042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1050605010104.

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, 30946019 + ... + 30979949.

It is an arithmetic number, because the mean of its divisors is an integer number (17844584310).

Almost surely, 21050605010104 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 1050605010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142053395840).

1050605010104 is an abundant number, since it is smaller than the sum of its proper divisors (1233501781576).

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

1050605010104 is a wasteful number, since it uses less digits than its factorization.

1050605010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34261 (or 34257 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 1050605010104 in words is "one trillion, fifty billion, six hundred five million, ten thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 83 104 136 166 211 221 332 422 442 664 844 884 1079 1411 1688 1768 2158 2743 2822 3587 4316 5486 5644 7174 8632 10972 11288 14348 17513 18343 21944 28696 33931 35026 36686 46631 67862 70052 73372 93262 135724 140104 146744 186524 227669 271448 297721 373048 441103 455338 576827 595442 882206 910676 1153654 1190884 1764412 1821352 2307308 2381768 2816273 3528824 3870373 4614616 5632546 7159441 7498751 7740746 11265092 14318882 14997502 15481492 22530184 28637764 29995004 30962984 36611549 47876641 57275528 59990008 73223098 93072733 95753282 121710497 146446196 186145466 191506564 243420994 292892392 372290932 383013128 486841988 594233603 622396333 744581864 973683976 1188467206 1244792666 1582236461 2376934412 2489585332 3164472922 4753868824 4979170664 6328945844 7725036839 10101971251 12657891688 15450073678 20203942502 30900147356 40407885004 61800294712 80815770008 131325626263 262651252526 525302505052 1050605010104