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1121002020208 = 24741716315449
BaseRepresentation
bin10000010100000000111…
…011010101110101110000
310222011111120001221022001
4100110000323111311300
5121331303004121313
62214551535423344
7143663321645110
oct20240073256560
93864446057261
101121002020208
113a2461463694
12161311384b54
138192cc49775
143c3848a5040
151e25e69badd
hex10500ed5d70

1121002020208 has 160 divisors (see below), whose sum is σ = 2583134668800. Its totient is φ = 461293056000.

The previous prime is 1121002020197. The next prime is 1121002020223. The reversal of 1121002020208 is 8020202001211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205723468 + ... + 205728916.

It is an arithmetic number, because the mean of its divisors is an integer number (16144591680).

Almost surely, 21121002020208 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 1121002020208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291567334400).

1121002020208 is an abundant number, since it is smaller than the sum of its proper divisors (1462132648592).

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

1121002020208 is a wasteful number, since it uses less digits than its factorization.

1121002020208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1121002020208 its reverse (8020202001211), we get a palindrome (9141204021419).

The spelling of 1121002020208 in words is "one trillion, one hundred twenty-one billion, two million, twenty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 71 82 112 142 164 284 287 328 497 568 574 631 656 994 1136 1148 1262 1988 2296 2524 2911 3976 4417 4592 5048 5449 5822 7952 8834 10096 10898 11644 17668 20377 21796 23288 25871 35336 38143 40754 43592 44801 46576 51742 70672 76286 81508 87184 89602 103484 152572 163016 179204 181097 206968 223409 305144 313607 326032 358408 362194 386879 413936 446818 610288 627214 716816 724388 773758 893636 1254428 1448776 1547516 1563863 1787272 1836841 2508856 2708153 2897552 3095032 3127726 3438319 3574544 3673682 5017712 5416306 6190064 6255452 6876638 7347364 10832612 12510904 12857887 13753276 14694728 15862039 21665224 24068233 25021808 25715774 27506552 29389456 31724078 43330448 48136466 51431548 55013104 63448156 96272932 102863096 111034273 126896312 140971079 192545864 205726192 222068546 244120649 253792624 281942158 385091728 444137092 488241298 563884316 888274184 976482596 986797553 1127768632 1708844543 1776548368 1952965192 1973595106 2255537264 3417689086 3905930384 3947190212 6835378172 7894380424 10008946609 13670756344 15788760848 20017893218 27341512688 40035786436 70062626263 80071572872 140125252526 160143145744 280250505052 560501010104 1121002020208