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41123100420 = 22325228461669
BaseRepresentation
bin100110010011001000…
…001011011100000100
310221010221100221122100
4212103020023130010
51133210003203140
630520334432100
72654032405023
oct462310133404
9127127327570
1041123100420
1116492a11006
127b78062630
133b5496091c
141dc18008ba
15110a3d2530
hex99320b704

41123100420 has 36 divisors (see below), whose sum is σ = 124740071820. Its totient is φ = 10966160064.

The previous prime is 41123100413. The next prime is 41123100443. The reversal of 41123100420 is 2400132114.

41123100420 is a `hidden beast` number, since 4 + 11 + 231 + 0 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13244787396 + 27878313024 = 115086^2 + 166968^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×411231004202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 41123100393 and 41123100402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114230655 + ... + 114231014.

It is an arithmetic number, because the mean of its divisors is an integer number (3465001995).

Almost surely, 241123100420 is an apocalyptic number.

It is an amenable number.

41123100420 is an abundant number, since it is smaller than the sum of its proper divisors (83616971400).

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

41123100420 is a wasteful number, since it uses less digits than its factorization.

41123100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228461684 (or 228461679 counting only the distinct ones).

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

Adding to 41123100420 its reverse (2400132114), we get a palindrome (43523232534).

The spelling of 41123100420 in words is "forty-one billion, one hundred twenty-three million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 228461669 456923338 685385007 913846676 1142308345 1370770014 2056155021 2284616690 2741540028 3426925035 4112310042 4569233380 6853850070 8224620084 10280775105 13707700140 20561550210 41123100420