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2131240140 = 223353946741
BaseRepresentation
bin111111100001000…
…0010010011001100
312111112022012212000
41333002002103030
513331044141030
6551251512300
7103546146051
oct17702022314
95445265760
102131240140
119a4036297
124b58b8690
1327c708453
1416309d028
15c7188860
hex7f0824cc

2131240140 has 48 divisors (see below), whose sum is σ = 6630526560. Its totient is φ = 568330560.

The previous prime is 2131240129. The next prime is 2131240151. The reversal of 2131240140 is 410421312.

2131240140 is a `hidden beast` number, since 213 + 12 + 401 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2131240129) and next prime (2131240151).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1972831 + ... + 1973910.

It is an arithmetic number, because the mean of its divisors is an integer number (138135970).

Almost surely, 22131240140 is an apocalyptic number.

2131240140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131240140 is an abundant number, since it is smaller than the sum of its proper divisors (4499286420).

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

2131240140 is a wasteful number, since it uses less digits than its factorization.

2131240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946759 (or 3946751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2131240140 is about 46165.3564916378. The cubic root of 2131240140 is about 1286.8980092074.

Adding to 2131240140 its reverse (410421312), we get a palindrome (2541661452).

The spelling of 2131240140 in words is "two billion, one hundred thirty-one million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3946741 7893482 11840223 15786964 19733705 23680446 35520669 39467410 47360892 59201115 71041338 78934820 106562007 118402230 142082676 177603345 213124014 236804460 355206690 426248028 532810035 710413380 1065620070 2131240140