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42104211000 = 23353128310939
BaseRepresentation
bin100111001101100110…
…110100011000111000
311000200022111112100020
4213031212310120320
51142212134223000
631201543210440
73020244613515
oct471546643070
9130608445306
1042104211000
11169468029a5
1281b0746a20
133c7ccb6027
142075c3230c
1511665d1ba0
hex9cd9b4638

42104211000 has 128 divisors (see below), whose sum is σ = 131479545600. Its totient is φ = 11218012800.

The previous prime is 42104210933. The next prime is 42104211029. The reversal of 42104211000 is 11240124.

42104211000 is digitally balanced in base 2, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3843531 + ... + 3854469.

It is an arithmetic number, because the mean of its divisors is an integer number (1027183950).

Almost surely, 242104211000 is an apocalyptic number.

42104211000 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 42104211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65739772800).

42104211000 is an abundant number, since it is smaller than the sum of its proper divisors (89375334600).

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

42104211000 is a wasteful number, since it uses less digits than its factorization.

42104211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 42104211000 its reverse (11240124), we get a palindrome (42115451124).

The spelling of 42104211000 in words is "forty-two billion, one hundred four million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1283 1500 2566 3000 3849 5132 6415 7698 10264 10939 12830 15396 19245 21878 25660 30792 32075 32817 38490 43756 51320 54695 64150 65634 76980 87512 96225 109390 128300 131268 153960 160375 164085 192450 218780 256600 262536 273475 320750 328170 384900 437560 481125 546950 641500 656340 769800 820425 962250 1093900 1283000 1312680 1367375 1640850 1924500 2187800 2734750 3281700 3849000 4102125 5469500 6563400 8204250 10939000 14034737 16408500 28069474 32817000 42104211 56138948 70173685 84208422 112277896 140347370 168416844 210521055 280694740 336833688 350868425 421042110 561389480 701736850 842084220 1052605275 1403473700 1684168440 1754342125 2105210550 2806947400 3508684250 4210421100 5263026375 7017368500 8420842200 10526052750 14034737000 21052105500 42104211000