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41202123100 = 22521721678537
BaseRepresentation
bin100110010111110101…
…101000000101011100
310221100110001201101021
4212113311220011130
51133340220414400
630532240253524
72656012160605
oct462765500534
9127313051337
1041202123100
1116523584a06
127b9a6112a4
133b6813b1c8
141dcc0d0dac
1511122e171a
hex997d6815c

41202123100 has 108 divisors (see below), whose sum is σ = 95557227696. Its totient is φ = 15416698880.

The previous prime is 41202123089. The next prime is 41202123107. The reversal of 41202123100 is 132120214.

41202123100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×412021231002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41202123107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4822032 + ... + 4830568.

Almost surely, 241202123100 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 41202123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47778613848).

41202123100 is an abundant number, since it is smaller than the sum of its proper divisors (54355104596).

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

41202123100 is a wasteful number, since it uses less digits than its factorization.

41202123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8728 counting only the distinct ones).

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

Adding to 41202123100 its reverse (132120214), we get a palindrome (41334243314).

The spelling of 41202123100 in words is "forty-one billion, two hundred two million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 167 170 289 334 340 425 578 668 835 850 1156 1445 1670 1700 2839 2890 3340 4175 5678 5780 7225 8350 8537 11356 14195 14450 16700 17074 28390 28900 34148 42685 48263 56780 70975 85370 96526 141950 145129 170740 193052 213425 241315 283900 290258 426850 482630 580516 725645 853700 965260 1206575 1425679 1451290 2413150 2467193 2851358 2902580 3628225 4826300 4934386 5702716 7128395 7256450 9868772 12335965 14256790 14512900 24236543 24671930 28513580 35641975 48473086 49343860 61679825 71283950 96946172 121182715 123359650 142567900 242365430 246719300 412021231 484730860 605913575 824042462 1211827150 1648084924 2060106155 2423654300 4120212310 8240424620 10300530775 20601061550 41202123100