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71010048100 = 22521574522933
BaseRepresentation
bin100001000100010000…
…1110101100001100100
320210021210221012101111
41002020201311201210
52130412033014400
652342131434404
75062460310205
oct1021041654144
9223253835344
1071010048100
112812a359172
1211919155a04
136908792254
143618c1b5ac
151ca91293ba
hex1088875864

71010048100 has 36 divisors (see below), whose sum is σ = 155073315124. Its totient is φ = 28223095680.

The previous prime is 71010048077. The next prime is 71010048191. The reversal of 71010048100 is 184001017.

It can be written as a sum of positive squares in 6 ways, for example, as 9733006336 + 61277041764 = 98656^2 + 247542^2 .

It is a super-2 number, since 2×710100481002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2245767 + ... + 2277166.

Almost surely, 271010048100 is an apocalyptic number.

It is an amenable number.

71010048100 is an abundant number, since it is smaller than the sum of its proper divisors (84063267024).

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

71010048100 is a wasteful number, since it uses less digits than its factorization.

71010048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523104 (or 4523097 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 71010048100 its reverse (184001017), we get a palindrome (71194049117).

The spelling of 71010048100 in words is "seventy-one billion, ten million, forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 4522933 9045866 18091732 22614665 45229330 90458660 113073325 226146650 452293300 710100481 1420200962 2840401924 3550502405 7101004810 14202009620 17752512025 35505024050 71010048100