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200302424203002 = 2311218471195312497
BaseRepresentation
bin101101100010110010001010…
…110101111001111011111010
3222021012201120100010100122220
4231202302022311321323322
5202223223331043444002
61550001355141424510
760122241540526332
oct5542621265717372
9867181510110586
10200302424203002
1158905865653200
121a56bb5070b136
13879c58c3cb924
143766990ac60c2
1518254d44a57bc
hexb62c8ad79efa

200302424203002 has 96 divisors (see below), whose sum is σ = 440644775953536. Its totient is φ = 60654912215040.

The previous prime is 200302424202997. The next prime is 200302424203019.

It is a happy number.

200302424203002 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2003024242030023 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 16028034418 + ... + 16028046914.

It is an arithmetic number, because the mean of its divisors is an integer number (4590049749516).

Almost surely, 2200302424203002 is an apocalyptic number.

200302424203002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200302424203002 is an abundant number, since it is smaller than the sum of its proper divisors (240342351750534).

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

200302424203002 is a wasteful number, since it uses less digits than its factorization.

200302424203002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26324 (or 26313 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 200302424203002 in words is "two hundred trillion, three hundred two billion, four hundred twenty-four million, two hundred three thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1847 3694 5541 11082 11953 12497 20317 23906 24994 35859 37491 40634 60951 71718 74982 121902 131483 137467 223487 262966 274934 394449 412401 446974 670461 788898 824802 1340922 1446313 1512137 2892626 3024274 4338939 4536411 8677878 9072822 22077191 23081959 44154382 46163918 66231573 69245877 132463146 138491754 149376641 242849101 253901549 298753282 448129923 485698202 507803098 728547303 761704647 896259846 1457094606 1523409294 1643143051 2671340111 2792917039 3286286102 4929429153 5342680222 5585834078 8014020333 8378751117 9858858306 16028040666 16757502234 18074573561 36149147122 54223720683 108447441366 275898655927 551797311854 827695967781 1655391935562 3034885215197 6069770430394 9104655645591 18209311291182 33383737367167 66767474734334 100151212101501 200302424203002