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42146412100 = 225213231409579
BaseRepresentation
bin100111010000000111…
…110011011001000100
311000210020220120100221
4213100013303121010
51142303440141400
631210051514124
73021266410012
oct472007633104
9130706816327
1042146412100
1116968607241
1282028b8944
133c889706b0
14207b6998b2
15116a16ac1a
hex9d01f3644

42146412100 has 72 divisors (see below), whose sum is σ = 102775296960. Its totient is φ = 14885143680.

The previous prime is 42146412043. The next prime is 42146412157. The reversal of 42146412100 is 121464124.

It is an interprime number because it is at equal distance from previous prime (42146412043) and next prime (42146412157).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674890 + ... + 734689.

It is an arithmetic number, because the mean of its divisors is an integer number (1427434680).

Almost surely, 242146412100 is an apocalyptic number.

It is an amenable number.

42146412100 is an abundant number, since it is smaller than the sum of its proper divisors (60628884860).

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

42146412100 is a wasteful number, since it uses less digits than its factorization.

42146412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409629 (or 1409622 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 42146412100 its reverse (121464124), we get a palindrome (42267876224).

The spelling of 42146412100 in words is "forty-two billion, one hundred forty-six million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 1409579 2819158 5638316 7047895 14095790 18324527 28191580 32420317 35239475 36649054 64840634 70478950 73298108 91622635 129681268 140957900 162101585 183245270 324203170 366490540 421464121 458113175 648406340 810507925 842928242 916226350 1621015850 1685856484 1832452700 2107320605 3242031700 4214641210 8429282420 10536603025 21073206050 42146412100