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41022202021100 = 22526114514634701
BaseRepresentation
bin10010101001111001110011…
…10001111000010011101100
312101020200110210100222010022
421110330321301320103230
520334101432204133400
6223125201153101312
711432520256624166
oct1124747161702354
9171220423328108
1041022202021100
111208646665a033
124726464557838
1319b74b94c94a1
14a1b6b144d936
154b21356b9b85
hex254f39c784ec

41022202021100 has 72 divisors (see below), whose sum is σ = 90539867588016. Its totient is φ = 16128756000000.

The previous prime is 41022202021081. The next prime is 41022202021109. The reversal of 41022202021100 is 112020222014.

It is not an unprimeable number, because it can be changed into a prime (41022202021109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6533750 + ... + 11168450.

Almost surely, 241022202021100 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 41022202021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45269933794008).

41022202021100 is an abundant number, since it is smaller than the sum of its proper divisors (49517665566916).

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

41022202021100 is a wasteful number, since it uses less digits than its factorization.

41022202021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636227 (or 4636220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 41022202021100 its reverse (112020222014), we get a palindrome (41134222243114).

The spelling of 41022202021100 in words is "forty-one trillion, twenty-two billion, two hundred two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1451 1525 2902 3050 5804 6100 7255 14510 29020 36275 72550 88511 145100 177022 354044 442555 885110 1770220 2212775 4425550 4634701 8851100 9269402 18538804 23173505 46347010 92694020 115867525 231735050 282716761 463470100 565433522 1130867044 1413583805 2827167610 5654335220 6724951151 7067919025 13449902302 14135838050 26899804604 28271676100 33624755755 67249511510 134499023020 168123778775 336247557550 410222020211 672495115100 820444040422 1640888080844 2051110101055 4102220202110 8204440404220 10255550505275 20511101010550 41022202021100