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202113100211440 = 245114312497427403
BaseRepresentation
bin101101111101001000011111…
…100010101110010011110000
3222111121211020110110221111111
4231331020133202232103300
5202442410112123231230
61553505250524323104
760400122015621415
oct5575103742562360
9874554213427444
10202113100211440
1159443758a9aa60
121a802a583a3494
1388a12503c0492
1437ca47d30810c
15185765b40092a
hexb7d21f8ae4f0

202113100211440 has 160 divisors (see below), whose sum is σ = 524597201415936. Its totient is φ = 71780558868480.

The previous prime is 202113100211419. The next prime is 202113100211471. The reversal of 202113100211440 is 44112001311202.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 472672779 + ... + 473100181.

Almost surely, 2202113100211440 is an apocalyptic number.

202113100211440 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 202113100211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262298600707968).

202113100211440 is an abundant number, since it is smaller than the sum of its proper divisors (322484101204496).

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

202113100211440 is a wasteful number, since it uses less digits than its factorization.

202113100211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439967 (or 439961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 202113100211440 its reverse (44112001311202), we get a palindrome (246225101522642).

The spelling of 202113100211440 in words is "two hundred two trillion, one hundred thirteen billion, one hundred million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 7568 9460 12497 18920 24994 37840 49988 62485 99976 124970 137467 199952 249940 274934 427403 499880 537371 549868 687335 854806 999760 1074742 1099736 1374670 1709612 2137015 2149484 2199472 2686855 2749340 3419224 4274030 4298968 4701433 5373710 5498680 5911081 6838448 8548060 8597936 9402866 10747420 10997360 11822162 17096120 18378329 18805732 21494840 23507165 23644324 29555405 34192240 36756658 37611464 42989680 47014330 47288648 59110810 73513316 75222928 91891645 94028660 94577296 118221620 147026632 183783290 188057320 202161619 236443240 294053264 367566580 376114640 404323238 472886480 735133160 808646476 1010808095 1470266320 1617292952 2021616190 3234585904 4043232380 5341255291 8086464760 10682510582 16172929520 21365021164 26706276455 42730042328 53412552910 58753808201 85460084656 106825105820 117507616402 213650211640 229673977513 235015232804 293769041005 427300423280 459347955026 470030465608 587538082010 918695910052 940060931216 1148369887565 1175076164020 1837391820104 2296739775130 2350152328040 2526413752643 3674783640208 4593479550260 4700304656080 5052827505286 9186959100520 10105655010572 12632068763215 18373918201040 20211310021144 25264137526430 40422620042288 50528275052860 101056550105720 202113100211440