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2143101420 = 2232537439733
BaseRepresentation
bin111111110111101…
…0010000111101100
312112100121211110200
41333233102013230
513342113221140
6552354033500
7104052030045
oct17757220754
95470554420
102143101420
119aa7a78a9
124b9878890
13281ccc265
141648a98cc
15c822d030
hex7fbd21ec

2143101420 has 144 divisors (see below), whose sum is σ = 6700774080. Its totient is φ = 554024448.

The previous prime is 2143101377. The next prime is 2143101437. The reversal of 2143101420 is 241013412.

2143101420 is a `hidden beast` number, since 2 + 143 + 101 + 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 = 2143101393 and 2143101402.

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, 2923374 + ... + 2924106.

Almost surely, 22143101420 is an apocalyptic number.

2143101420 is a gapful number since it is divisible by the number (20) 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 2143101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350387040).

2143101420 is an abundant number, since it is smaller than the sum of its proper divisors (4557672660).

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

2143101420 is a wasteful number, since it uses less digits than its factorization.

2143101420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2143101420 is about 46293.6434081397. The cubic root of 2143101420 is about 1289.2809766245.

Adding to 2143101420 its reverse (241013412), we get a palindrome (2384114832).

The spelling of 2143101420 in words is "two billion, one hundred forty-three million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 439 444 555 666 733 740 878 1110 1317 1332 1466 1665 1756 2195 2199 2220 2634 2932 3330 3665 3951 4390 4398 5268 6585 6597 6660 7330 7902 8780 8796 10995 13170 13194 14660 15804 16243 19755 21990 26340 26388 27121 32486 32985 39510 43980 48729 54242 64972 65970 79020 81215 81363 97458 108484 131940 135605 146187 162430 162726 194916 243645 244089 271210 292374 321787 324860 325452 406815 487290 488178 542420 584748 643574 730935 813630 965361 974580 976356 1220445 1287148 1461870 1608935 1627260 1930722 2440890 2896083 2923740 3217870 3861444 4826805 4881780 5792166 6435740 9653610 11584332 11906119 14480415 19307220 23812238 28960830 35718357 47624476 57921660 59530595 71436714 107155071 119061190 142873428 178591785 214310142 238122380 357183570 428620284 535775355 714367140 1071550710 2143101420