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2131351144 = 2313195711889
BaseRepresentation
bin111111100001001…
…1101011001101000
312111112111212010021
41333002131121220
513331111214034
6551254130224
7103550120506
oct17702353150
95445455107
102131351144
119a410172a
124b5950974
1327c746b30
141630cb676
15c71ab6b4
hex7f09d668

2131351144 has 64 divisors (see below), whose sum is σ = 4540536000. Its totient is φ = 929802240.

The previous prime is 2131351129. The next prime is 2131351151. The reversal of 2131351144 is 4411531312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127352 + ... + 1129240.

It is an arithmetic number, because the mean of its divisors is an integer number (70945875).

Almost surely, 22131351144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131351144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270268000).

2131351144 is an abundant number, since it is smaller than the sum of its proper divisors (2409184856).

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

2131351144 is a wasteful number, since it uses less digits than its factorization.

2131351144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2494 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 2131351144 is about 46166.5587194887. The cubic root of 2131351144 is about 1286.9203511831.

Adding to 2131351144 its reverse (4411531312), we get a palindrome (6542882456).

The spelling of 2131351144 in words is "two billion, one hundred thirty-one million, three hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 571 988 1142 1889 1976 2284 3778 4568 7423 7556 10849 14846 15112 21698 24557 29692 35891 43396 49114 59384 71782 86792 98228 141037 143564 196456 282074 287128 466583 564148 933166 1078619 1128296 1866332 2157238 3732664 4314476 8628952 14022047 20493761 28044094 40987522 56088188 81975044 112176376 163950088 266418893 532837786 1065675572 2131351144