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200102010003126 = 232711737091958699
BaseRepresentation
bin101101011111110111100001…
…001110011001111010110110
3222020111120021010110010202100
4231133313201032121322312
5202211432404030100001
61545325332213522530
760101615230116450
oct5537674116317266
9866446233403670
10200102010003126
1158838870aa8560
121a53913a343446
138786700338a8a
14375adbb9c52d0
1518201a49b5586
hexb5fde1399eb6

200102010003126 has 96 divisors (see below), whose sum is σ = 540542909088000. Its totient is φ = 51973816386240.

The previous prime is 200102010003101. The next prime is 200102010003127. The reversal of 200102010003126 is 621300010201002.

It is a super-2 number, since 2×2001020100031262 (a number of 29 digits) contains 22 as substring.

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 = 200102010003099 and 200102010003108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102010003127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101181325 + ... + 103140023.

It is an arithmetic number, because the mean of its divisors is an integer number (5630655303000).

Almost surely, 2200102010003126 is an apocalyptic number.

200102010003126 is an abundant number, since it is smaller than the sum of its proper divisors (340440899084874).

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

200102010003126 is a wasteful number, since it uses less digits than its factorization.

200102010003126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032434 (or 2032431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200102010003126 its reverse (621300010201002), we get a palindrome (821402020204128).

The spelling of 200102010003126 in words is "two hundred trillion, one hundred two billion, ten million, three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 73709 147418 221127 442254 515963 663381 810799 1031926 1326762 1547889 1621598 1958699 2432397 3095778 3917398 4643667 4864794 5675593 5876097 7297191 9287334 11351186 11752194 13710893 14594382 17026779 17628291 21545689 27421786 34053558 35256582 41132679 43091378 51080337 64637067 82265358 102160674 123398037 129274134 150819823 193911201 246796074 301639646 387822402 452459469 904918938 1357378407 2714756814 144373744591 288747489182 433121233773 866242467546 1010616212137 1299363701319 1588111190501 2021232424274 2598727402638 3031848636411 3176222381002 4764333571503 6063697272822 9095545909233 9528667143006 11116778333507 14293000714509 18191091818466 22233556667014 28586001429018 33350335000521 66700670001042 100051005001563 200102010003126