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2141252421 = 372112120383
BaseRepresentation
bin111111110100000…
…1110101101000101
312112020010220010020
41333220032231011
513341130034141
6552250245353
7104030226300
oct17750165505
95466126106
102141252421
119a9754700
124b9126859
13281802789
14164547b37
15c7eb5266
hex7fa0eb45

2141252421 has 36 divisors (see below), whose sum is σ = 3650524416. Its totient is φ = 1112329680.

The previous prime is 2141252411. The next prime is 2141252453. The reversal of 2141252421 is 1242521412.

It is not a de Polignac number, because 2141252421 - 210 = 2141251397 is a prime.

It is a super-2 number, since 2×21412524212 = 9169923860876722482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2141252391 and 2141252400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141252401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42405 + ... + 77978.

It is an arithmetic number, because the mean of its divisors is an integer number (101403456).

Almost surely, 22141252421 is an apocalyptic number.

2141252421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2141252421 is a deficient number, since it is larger than the sum of its proper divisors (1509271995).

2141252421 is a wasteful number, since it uses less digits than its factorization.

2141252421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120422 (or 120404 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 2141252421 is about 46273.6687652924. The cubic root of 2141252421 is about 1288.9100865489.

Adding to 2141252421 its reverse (1242521412), we get a palindrome (3383773833).

The spelling of 2141252421 in words is "two billion, one hundred forty-one million, two hundred fifty-two thousand, four hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 363 539 847 1617 2541 5929 17787 120383 361149 842681 1324213 2528043 3972639 5898767 9269491 14566343 17696301 27808473 43699029 64886437 101964401 194659311 305893203 713750807 2141252421