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2002141002420 = 2233513221938867
BaseRepresentation
bin11101001000101000111…
…001110011101010110100
321002101212122112001011000
4131020220321303222310
5230300341044034140
64131434302043300
7264435630503436
oct35105071635264
97071778461130
102002141002420
11702115444679
12284040b79530
13116a54caa100
146cc92d70656
1537130e43a30
hex1d228e73ab4

2002141002420 has 144 divisors (see below), whose sum is σ = 6744885577920. Its totient is φ = 492834685824.

The previous prime is 2002141002287. The next prime is 2002141002473. The reversal of 2002141002420 is 242001412002.

2002141002420 is a `hidden beast` number, since 20 + 0 + 214 + 10 + 0 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002141002393 and 2002141002402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10878174 + ... + 11060693.

It is an arithmetic number, because the mean of its divisors is an integer number (46839483180).

Almost surely, 22002141002420 is an apocalyptic number.

2002141002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002141002420 is an abundant number, since it is smaller than the sum of its proper divisors (4742744575500).

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

2002141002420 is a wasteful number, since it uses less digits than its factorization.

2002141002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938911 (or 21938890 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2002141002420 its reverse (242001412002), we get a palindrome (2244142414422).

The spelling of 2002141002420 in words is "two trillion, two billion, one hundred forty-one million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 91260 21938867 43877734 65816601 87755468 109694335 131633202 197449803 219388670 263266404 285205271 329083005 394899606 438777340 570410542 592349409 658166010 789799212 855615813 987249015 1140821084 1184698818 1316332020 1426026355 1711231626 1974498030 2369397636 2566847439 2852052710 2961747045 3422463252 3707668523 3948996060 4278079065 5133694878 5704105420 5923494090 7415337046 7700542317 8556158130 10267389756 11123005569 11846988180 12834237195 14830674092 15401084634 17112316260 18538342615 22246011138 25668474390 30802169268 33369016707 37076685230 38502711585 44492022276 51336948780 55615027845 66738033414 74153370460 77005423170 100107050121 111230055690 133476066828 154010846340 166845083535 200214100242 222460111380 333690167070 400428200484 500535250605 667380334140 1001070501210 2002141002420