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2141021000 = 23533975393
BaseRepresentation
bin111111110011101…
…0110001101001000
312112012201010200002
41333213112031020
513341100133000
6552241302132
7104025243506
oct17747261510
95465633602
102141021000
119a9606848
124b9034948
13281751341
141644c7676
15c7e6b8d5
hex7f9d6348

2141021000 has 64 divisors (see below), whose sum is σ = 5023540080. Its totient is φ = 854092800.

The previous prime is 2141020967. The next prime is 2141021011. The reversal of 2141021000 is 1201412.

It can be written as a sum of positive squares in 8 ways, for example, as 585349636 + 1555671364 = 24194^2 + 39442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394304 + ... + 399696.

Almost surely, 22141021000 is an apocalyptic number.

2141021000 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 2141021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511770040).

2141021000 is an abundant number, since it is smaller than the sum of its proper divisors (2882519080).

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

2141021000 is a wasteful number, since it uses less digits than its factorization.

2141021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2141021000 is about 46271.1681287603. The cubic root of 2141021000 is about 1288.8636508578.

Adding to 2141021000 its reverse (1201412), we get a palindrome (2142222412).

The spelling of 2141021000 in words is "two billion, one hundred forty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 397 500 794 1000 1588 1985 3176 3970 5393 7940 9925 10786 15880 19850 21572 26965 39700 43144 49625 53930 79400 99250 107860 134825 198500 215720 269650 397000 539300 674125 1078600 1348250 2141021 2696500 4282042 5393000 8564084 10705105 17128168 21410210 42820420 53525525 85640840 107051050 214102100 267627625 428204200 535255250 1070510500 2141021000