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41023122100 = 22522789147089
BaseRepresentation
bin100110001101001010…
…110010101010110100
310220212222020112011121
4212031022302222310
51133003404401400
630502403513324
72651406533032
oct461512625264
9126788215147
1041023122100
11164415348a4
127b4a688844
133b3a026c5c
141db2417552
15110173421a
hex98d2b2ab4

41023122100 has 36 divisors (see below), whose sum is σ = 89052698700. Its totient is φ = 16403253760.

The previous prime is 41023122097. The next prime is 41023122103. The reversal of 41023122100 is 122132014.

It is an interprime number because it is at equal distance from previous prime (41023122097) and next prime (41023122103).

It can be written as a sum of positive squares in 6 ways, for example, as 2784883984 + 38238238116 = 52772^2 + 195546^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41023122103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 205356 + ... + 352444.

It is an arithmetic number, because the mean of its divisors is an integer number (2473686075).

Almost surely, 241023122100 is an apocalyptic number.

It is an amenable number.

41023122100 is an abundant number, since it is smaller than the sum of its proper divisors (48029576600).

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

41023122100 is a wasteful number, since it uses less digits than its factorization.

41023122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149892 (or 149885 counting only the distinct ones).

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

Adding to 41023122100 its reverse (122132014), we get a palindrome (41145254114).

The spelling of 41023122100 in words is "forty-one billion, twenty-three million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2789 5578 11156 13945 27890 55780 69725 139450 147089 278900 294178 588356 735445 1470890 2941780 3677225 7354450 14708900 410231221 820462442 1640924884 2051156105 4102312210 8204624420 10255780525 20511561050 41023122100