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1003003020030 = 2351131665314737
BaseRepresentation
bin11101001100001111010…
…00111000001011111110
310112212221000010122112010
432212013220320023332
5112413122233120110
62044435003352050
7132315231000324
oct16460750701376
93485830118463
101003003020030
1135740a069330
1214247b822626
137377649987b
143678d1d7d14
151b155205020
hexe987a382fe

1003003020030 has 128 divisors (see below), whose sum is σ = 2711346794496. Its totient is φ = 235257292800.

The previous prime is 1003003020001. The next prime is 1003003020049. The reversal of 1003003020030 is 300203003001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1003003019988 and 1003003020015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68052822 + ... + 68067558.

It is an arithmetic number, because the mean of its divisors is an integer number (21182396832).

Almost surely, 21003003020030 is an apocalyptic number.

1003003020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003003020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355673397248).

1003003020030 is an abundant number, since it is smaller than the sum of its proper divisors (1708343774466).

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

1003003020030 is a wasteful number, since it uses less digits than its factorization.

1003003020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21442.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 1003003020030 its reverse (300203003001), we get a palindrome (1303206023031).

The spelling of 1003003020030 in words is "one trillion, three billion, three million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 6653 10230 13306 14737 19959 29474 33265 39918 44211 66530 73183 73685 88422 99795 146366 147370 162107 199590 206243 219549 221055 324214 365915 412486 439098 442110 456847 486321 618729 731830 810535 913694 972642 1031215 1097745 1237458 1370541 1621070 2062430 2195490 2268673 2284235 2431605 2741082 3093645 4537346 4568470 4863210 5025317 6187290 6806019 6852705 10050634 11343365 13612038 13705410 15075951 22686730 25126585 30151902 34030095 50253170 68060190 75379755 98045261 150759510 196090522 294135783 490226305 588271566 980452610 1078497871 1470678915 2156995742 2941357830 3039403091 3235493613 5392489355 6078806182 6470987226 9118209273 10784978710 15197015455 16177468065 18236418546 30394030910 32354936130 33433434001 45591046365 66866868002 91182092730 100300302003 167167170005 200600604006 334334340010 501501510015 1003003020030