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42135355100 = 22521753467651
BaseRepresentation
bin100111001111011101…
…100111111011011100
311000202111002211000102
4213033131213323130
51142243122330400
631205014520232
73021103415606
oct471735477334
9130674084012
1042135355100
1116962344a23
1281bb066078
133c8659b9a7
14207a01c176
1511691d49d5
hex9cf767edc

42135355100 has 72 divisors (see below), whose sum is σ = 98639030448. Its totient is φ = 15563392000.

The previous prime is 42135355079. The next prime is 42135355109. The reversal of 42135355100 is 155353124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135355109) 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, 143726 + ... + 323925.

It is an arithmetic number, because the mean of its divisors is an integer number (1369986534).

Almost surely, 242135355100 is an apocalyptic number.

It is an amenable number.

42135355100 is an abundant number, since it is smaller than the sum of its proper divisors (56503675348).

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

42135355100 is a wasteful number, since it uses less digits than its factorization.

42135355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467735 (or 467728 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 42135355100 in words is "forty-two billion, one hundred thirty-five million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 5300 9010 18020 22525 45050 90100 467651 935302 1870604 2338255 4676510 7950067 9353020 11691275 15900134 23382550 24785503 31800268 39750335 46765100 49571006 79500670 99142012 123927515 159001340 198751675 247855030 397503350 421353551 495710060 619637575 795006700 842707102 1239275150 1685414204 2106767755 2478550300 4213535510 8427071020 10533838775 21067677550 42135355100