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2131202140 = 2254161137311
BaseRepresentation
bin111111100000111…
…1001000001011100
312111112020021201121
41333001321001130
513331041432030
6551251020324
7103545630214
oct17701710134
95445207647
102131202140
119a400a791
124b589a6a4
1327c6c4072
1416308d244
15c717c47a
hex7f07905c

2131202140 has 96 divisors (see below), whose sum is σ = 4708948608. Its totient is φ = 809472000.

The previous prime is 2131202107. The next prime is 2131202153. The reversal of 2131202140 is 412021312.

It is a congruent number.

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, 6852585 + ... + 6852895.

It is an arithmetic number, because the mean of its divisors is an integer number (49051548).

Almost surely, 22131202140 is an apocalyptic number.

2131202140 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 2131202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354474304).

2131202140 is an abundant number, since it is smaller than the sum of its proper divisors (2577746468).

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

2131202140 is a wasteful number, since it uses less digits than its factorization.

2131202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2131202140 is about 46164.9449257767. The cubic root of 2131202140 is about 1286.8903607004.

Adding to 2131202140 its reverse (412021312), we get a palindrome (2543223452).

The spelling of 2131202140 in words is "two billion, one hundred thirty-one million, two hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 61 82 122 137 164 205 244 274 305 311 410 548 610 622 685 820 1220 1244 1370 1555 2501 2740 3110 5002 5617 6220 8357 10004 11234 12505 12751 16714 18971 22468 25010 25502 28085 33428 37942 41785 42607 50020 51004 56170 63755 75884 83570 85214 94855 112340 127510 167140 170428 189710 213035 255020 342637 379420 426070 685274 777811 852140 1370548 1555622 1713185 1746887 2599027 3111244 3426370 3493774 3889055 5198054 6852740 6987548 7778110 8734435 10396108 12995135 15556220 17468870 25990270 34937740 51980540 106560107 213120214 426240428 532800535 1065601070 2131202140