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42243411100 = 2252113417741
BaseRepresentation
bin100111010101111001…
…110100110010011100
311001001000102121222111
4213111321310302130
51143003303123400
631223434523404
73023555032642
oct472571646234
9131030377874
1042243411100
1116a08339000
12822b296564
133ca2aa3257
14208a509192
15117392b3ba
hex9d5e74c9c

42243411100 has 144 divisors (see below), whose sum is σ = 103300700832. Its totient is φ = 14984640000.

The previous prime is 42243411073. The next prime is 42243411101. The reversal of 42243411100 is 111434224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42243411101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5453230 + ... + 5460970.

It is an arithmetic number, because the mean of its divisors is an integer number (717365978).

Almost surely, 242243411100 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 42243411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51650350416).

42243411100 is an abundant number, since it is smaller than the sum of its proper divisors (61057289732).

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

42243411100 is a wasteful number, since it uses less digits than its factorization.

42243411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42243411100 its reverse (111434224), we get a palindrome (42354845324).

The spelling of 42243411100 in words is "forty-two billion, two hundred forty-three million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 121 164 205 220 242 275 410 451 484 550 605 820 902 1025 1100 1210 1331 1804 2050 2255 2420 2662 3025 4100 4510 4961 5324 6050 6655 7741 9020 9922 11275 12100 13310 15482 19844 22550 24805 26620 30964 33275 38705 45100 49610 54571 66550 77410 85151 99220 109142 124025 133100 154820 170302 193525 218284 248050 272855 317381 340604 387050 425755 496100 545710 634762 774100 851510 936661 1091420 1269524 1364275 1586905 1703020 1873322 2128775 2728550 3173810 3491191 3746644 4257550 4683305 5457100 6347620 6982382 7934525 8515100 9366610 10303271 13964764 15869050 17455955 18733220 20606542 23416525 31738100 34911910 38403101 41213084 46833050 51516355 69823820 76806202 87279775 93666100 103032710 153612404 174559550 192015505 206065420 257581775 349119100 384031010 422434111 515163550 768062020 844868222 960077525 1030327100 1689736444 1920155050 2112170555 3840310100 4224341110 8448682220 10560852775 21121705550 42243411100