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1003021113320 = 2351713127141549
BaseRepresentation
bin11101001100010001011…
…01111001011111101000
310112212222021011212211222
432212020231321133220
5112413141401111240
62044440451241212
7132315540535412
oct16461055713750
93485867155758
101003021113320
113574192a7066
121424858a9208
137377a163165
14367917879b2
151b156acaeb5
hexe988b797e8

1003021113320 has 128 divisors (see below), whose sum is σ = 2416734144000. Its totient is φ = 373333708800.

The previous prime is 1003021113299. The next prime is 1003021113349. The reversal of 1003021113320 is 233111203001.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 24119906 + ... + 24161454.

It is an arithmetic number, because the mean of its divisors is an integer number (18880735500).

Almost surely, 21003021113320 is an apocalyptic number.

1003021113320 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 1003021113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208367072000).

1003021113320 is an abundant number, since it is smaller than the sum of its proper divisors (1413713030680).

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

1003021113320 is a wasteful number, since it uses less digits than its factorization.

1003021113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41979 (or 41975 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003021113320 its reverse (233111203001), we get a palindrome (1236132316321).

The spelling of 1003021113320 in words is "one trillion, three billion, twenty-one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 170 262 271 340 524 542 655 680 1048 1084 1310 1355 2168 2227 2620 2710 4454 4607 5240 5420 8908 9214 10840 11135 17816 18428 22270 23035 35501 36856 41549 44540 46070 71002 83098 89080 92140 142004 166196 177505 184280 207745 284008 332392 355010 415490 603517 706333 710020 830980 1207034 1412666 1420040 1661960 2414068 2825332 3017585 3531665 4828136 5442919 5650664 6035170 7063330 10885838 11259779 12070340 14126660 21771676 22519558 24140680 27214595 28253320 43543352 45039116 54429190 56298895 90078232 92529623 108858380 112597790 185059246 191416243 217716760 225195580 370118492 382832486 450391160 462648115 740236984 765664972 925296230 957081215 1475031049 1531329944 1850592460 1914162430 2950062098 3701184920 3828324860 5900124196 7375155245 7656649720 11800248392 14750310490 25075527833 29500620980 50151055666 59001241960 100302111332 125377639165 200604222664 250755278330 501510556660 1003021113320