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42200133131112 = 233111587611006853
BaseRepresentation
bin10011001100001011110111…
…11100011101101101101000
312112102021220211120022022220
421212011323330131231220
521012401333040143422
6225430250140514040
711613600432100125
oct1146057374355550
9175367824508286
1042200133131112
111249aa80aa7470
12489680324b920
131a715bc8c19b8
14a5c6d69c374c
154d2ac7bb9e5c
hex26617bf1db68

42200133131112 has 64 divisors (see below), whose sum is σ = 115092111418560. Its totient is φ = 12787825881600.

The previous prime is 42200133131077. The next prime is 42200133131113. The reversal of 42200133131112 is 21113133100224.

42200133131112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42200133131113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41409478 + ... + 42416330.

It is an arithmetic number, because the mean of its divisors is an integer number (1798314240915).

Almost surely, 242200133131112 is an apocalyptic number.

It is an amenable number.

42200133131112 is an abundant number, since it is smaller than the sum of its proper divisors (72891978287448).

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

42200133131112 is a wasteful number, since it uses less digits than its factorization.

42200133131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165634 (or 1165630 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 42200133131112 its reverse (21113133100224), we get a palindrome (63313266231336).

The spelling of 42200133131112 in words is "forty-two trillion, two hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 158761 317522 476283 635044 952566 1006853 1270088 1746371 1905132 2013706 3020559 3492742 3810264 4027412 5239113 6041118 6985484 8054824 10478226 11075383 12082236 13970968 20956452 22150766 24164472 33226149 41912904 44301532 66452298 88603064 132904596 265809192 159848989133 319697978266 479546967399 639395956532 959093934798 1278791913064 1758338880463 1918187869596 3516677760926 3836375739192 5275016641389 7033355521852 10550033282778 14066711043704 21100066565556 42200133131112