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2143121420 = 2251183241487
BaseRepresentation
bin111111110111101…
…0111000000001100
312112100122211220102
41333233113000030
513342114341140
6552354310232
7104052142256
oct17757270014
95470584812
102143121420
119aa810930
124b9888378
132820083ab
141648b2cd6
15c8233e15
hex7fbd700c

2143121420 has 96 divisors (see below), whose sum is σ = 4999712256. Its totient is φ = 765158400.

The previous prime is 2143121417. The next prime is 2143121441. The reversal of 2143121420 is 241213412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2143121392 and 2143121401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4400417 + ... + 4400903.

It is an arithmetic number, because the mean of its divisors is an integer number (52080336).

Almost surely, 22143121420 is an apocalyptic number.

2143121420 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 2143121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499856128).

2143121420 is an abundant number, since it is smaller than the sum of its proper divisors (2856590836).

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

2143121420 is a wasteful number, since it uses less digits than its factorization.

2143121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2143121420 is about 46293.8594200138. The cubic root of 2143121420 is about 1289.2849872512.

Adding to 2143121420 its reverse (241213412), we get a palindrome (2384334832).

The spelling of 2143121420 in words is "two billion, one hundred forty-three million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 241 332 415 482 487 830 913 964 974 1205 1660 1826 1948 2410 2435 2651 3652 4565 4820 4870 5302 5357 9130 9740 10604 10714 13255 18260 20003 21428 26510 26785 40006 40421 53020 53570 80012 80842 100015 107140 117367 161684 200030 202105 220033 234734 400060 404210 440066 444631 469468 586835 808420 880132 889262 1100165 1173670 1291037 1778524 2200330 2223155 2347340 2582074 4400660 4446310 5164148 6455185 8892620 9741461 12910370 19482922 25820740 38965844 48707305 97414610 107156071 194829220 214312142 428624284 535780355 1071560710 2143121420