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1022131125 = 32531947819
BaseRepresentation
bin111100111011000…
…111101110110101
32122020022122022100
4330323013232311
54043131144000
6245231452313
734220654061
oct7473075665
92566278270
101022131125
11484a6a274
12246387099
131339b8622
1499a6caa1
155eb03a00
hex3cec7bb5

1022131125 has 48 divisors (see below), whose sum is σ = 1939579200. Its totient is φ = 516434400.

The previous prime is 1022131111. The next prime is 1022131127. The reversal of 1022131125 is 5211312201.

It is not a de Polignac number, because 1022131125 - 25 = 1022131093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022131098 and 1022131107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022131127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2535 + ... + 45284.

It is an arithmetic number, because the mean of its divisors is an integer number (40407900).

Almost surely, 21022131125 is an apocalyptic number.

1022131125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1022131125 is a deficient number, since it is larger than the sum of its proper divisors (917448075).

1022131125 is a wasteful number, since it uses less digits than its factorization.

1022131125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47859 (or 47846 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1022131125 is about 31970.7854923835. The cubic root of 1022131125 is about 1007.3232803152.

Adding to 1022131125 its reverse (5211312201), we get a palindrome (6233443326).

The spelling of 1022131125 in words is "one billion, twenty-two million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 375 475 855 1125 1425 2375 4275 7125 21375 47819 143457 239095 430371 717285 908561 1195475 2151855 2725683 3586425 4542805 5977375 8177049 10759275 13628415 17932125 22714025 40885245 53796375 68142075 113570125 204426225 340710375 1022131125