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2002124463630 = 2351937254937243
BaseRepresentation
bin11101001000100111111…
…010101101111000001110
321002101211111101210012020
4131020213322231320032
5230300322330314010
64131432511351010
7264435340101414
oct35104772557016
97071744353166
102002124463630
11702107078855
12284037522466
13116a51739245
146cc90aa72b4
153712e778470
hex1d227eade0e

2002124463630 has 128 divisors (see below), whose sum is σ = 5196878784000. Its totient is φ = 491923321344.

The previous prime is 2002124463589. The next prime is 2002124463653. The reversal of 2002124463630 is 363644212002.

It is a junction number, because it is equal to n+sod(n) for n = 2002124463591 and 2002124463600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53739789 + ... + 53777031.

It is an arithmetic number, because the mean of its divisors is an integer number (40600615500).

Almost surely, 22002124463630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002124463630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598439392000).

2002124463630 is an abundant number, since it is smaller than the sum of its proper divisors (3194754320370).

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

2002124463630 is a wasteful number, since it uses less digits than its factorization.

2002124463630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39858.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 2002124463630 its reverse (363644212002), we get a palindrome (2365768675632).

The spelling of 2002124463630 in words is "two trillion, two billion, one hundred twenty-four million, four hundred sixty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 2549 3515 4218 5098 7030 7647 10545 12745 15294 21090 25490 37243 38235 48431 74486 76470 94313 96862 111729 145293 186215 188626 223458 242155 282939 290586 372430 471565 484310 558645 565878 707617 726465 943130 1117290 1377991 1414695 1415234 1452930 1791947 2122851 2755982 2829390 3538085 3583894 4133973 4245702 5375841 6889955 7076170 8267946 8959735 10614255 10751682 13779910 17919470 20669865 21228510 26181829 26879205 41339730 52363658 53758410 78545487 94932407 130909145 157090974 189864814 261818290 284797221 392727435 474662035 569594442 785454870 949324070 1423986105 1803715733 2847972210 3512499059 3607431466 5411147199 7024998118 9018578665 10537497177 10822294398 17562495295 18037157330 21074994354 27055735995 35124990590 52687485885 54111471990 66737482121 105374971770 133474964242 200212446363 333687410605 400424892726 667374821210 1001062231815 2002124463630