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41012202112 = 277181252887
BaseRepresentation
bin100110001100100001…
…001000101010000000
310220212012200201202121
4212030201020222000
51132443110431422
630501333454024
72651214652240
oct461441105200
9126765621677
1041012202112
1116436356512
127b46aa1314
133b379a271b
141db0bb3b20
1511007c88c7
hex98c848a80

41012202112 has 64 divisors (see below), whose sum is σ = 93892256640. Its totient is φ = 17479480320.

The previous prime is 41012202103. The next prime is 41012202131. The reversal of 41012202112 is 21120221014.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35733 + ... + 288619.

It is an arithmetic number, because the mean of its divisors is an integer number (1467066510).

Almost surely, 241012202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46946128320).

41012202112 is an abundant number, since it is smaller than the sum of its proper divisors (52880054528).

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

41012202112 is a wasteful number, since it uses less digits than its factorization.

41012202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253089 (or 253077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41012202112 its reverse (21120221014), we get a palindrome (62132423126).

The spelling of 41012202112 in words is "forty-one billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 362 448 724 896 1267 1448 2534 2896 5068 5792 10136 11584 20272 23168 40544 81088 162176 252887 505774 1011548 1770209 2023096 3540418 4046192 7080836 8092384 14161672 16184768 28323344 32369536 45772547 56646688 91545094 113293376 183090188 226586752 320407829 366180376 640815658 732360752 1281631316 1464721504 2563262632 2929443008 5126525264 5858886016 10253050528 20506101056 41012202112