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2100143300424 = 23313101211315857
BaseRepresentation
bin11110100011111010010…
…010111001111101001000
321102202211121010121102220
4132203322102321331020
5233402043141103144
64244443103254040
7304505336341041
oct36437222717510
97382747117386
102100143300424
1173a736162694
1229b0318aa320
13123072968460
147390c9738c8
1539969ac1919
hex1e8fa4b9f48

2100143300424 has 128 divisors (see below), whose sum is σ = 5737295249280. Its totient is φ = 636765696000.

The previous prime is 2100143300401. The next prime is 2100143300429. The reversal of 2100143300424 is 4240033410012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2100143300394 and 2100143300403.

It is not an unprimeable number, because it can be changed into a prime (2100143300429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6491104 + ... + 6806960.

It is an arithmetic number, because the mean of its divisors is an integer number (44822619135).

Almost surely, 22100143300424 is an apocalyptic number.

2100143300424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100143300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868647624640).

2100143300424 is an abundant number, since it is smaller than the sum of its proper divisors (3637151948856).

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

2100143300424 is a wasteful number, since it uses less digits than its factorization.

2100143300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316191 (or 316187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2100143300424 its reverse (4240033410012), we get a palindrome (6340176710436).

The spelling of 2100143300424 in words is "two trillion, one hundred billion, one hundred forty-three million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 211 303 312 404 422 606 633 808 844 1212 1266 1313 1688 2424 2532 2626 2743 3939 5064 5252 5486 7878 8229 10504 10972 15756 16458 21311 21944 31512 32916 42622 63933 65832 85244 127866 170488 255732 277043 315857 511464 554086 631714 831129 947571 1108172 1263428 1662258 1895142 2216344 2526856 3324516 3790284 4106141 6649032 7580568 8212282 12318423 16424564 24636846 31901557 32849128 49273692 63803114 66645827 95704671 98547384 127606228 133291654 191409342 199937481 255212456 266583308 382818684 399874962 414720241 533166616 765637368 799749924 829440482 866395751 1244160723 1599499848 1658880964 1732791502 2488321446 2599187253 3317761928 3465583004 4976642892 5198374506 6731228527 6931166008 9953285784 10396749012 13462457054 20193685581 20793498024 26924914108 40387371162 53849828216 80774742324 87505970851 161549484648 175011941702 262517912553 350023883404 525035825106 700047766808 1050071650212 2100143300424