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42031122200 = 23528910492251
BaseRepresentation
bin100111001001010000…
…000000011100011000
311000111012222020100122
4213021100000130120
51142034431402300
631150412452412
73015366433604
oct471120003430
9130435866318
1042031122200
1116909522231
12819017a108
133c6ab05612
14206a248504
15115ee95c85
hex9c9400718

42031122200 has 96 divisors (see below), whose sum is σ = 98958510000. Its totient is φ = 16600320000.

The previous prime is 42031122193. The next prime is 42031122209. The reversal of 42031122200 is 222113024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42031122209) 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, 18671075 + ... + 18673325.

Almost surely, 242031122200 is an apocalyptic number.

42031122200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42031122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49479255000).

42031122200 is an abundant number, since it is smaller than the sum of its proper divisors (56927387800).

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

42031122200 is a wasteful number, since it uses less digits than its factorization.

42031122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 42031122200 its reverse (222113024), we get a palindrome (42253235224).

The spelling of 42031122200 in words is "forty-two billion, thirty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1049 1780 2098 2225 2251 3560 4196 4450 4502 5245 8392 8900 9004 10490 11255 17800 18008 20980 22510 26225 41960 45020 52450 56275 90040 93361 104900 112550 186722 200339 209800 225100 373444 400678 450200 466805 746888 801356 933610 1001695 1602712 1867220 2003390 2334025 2361299 3734440 4006780 4668050 4722598 5008475 8013560 9336100 9445196 10016950 11806495 18672200 18890392 20033900 23612990 40067800 47225980 59032475 94451960 118064950 210155611 236129900 420311222 472259800 840622444 1050778055 1681244888 2101556110 4203112220 5253890275 8406224440 10507780550 21015561100 42031122200