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420041320100 = 2252191245717747
BaseRepresentation
bin1100001110011000110…
…10011110011010100100
31111011012101211220202122
412013030122132122210
523340221034220400
6520544143125112
742230005211453
oct6071432363244
91434171756678
10420041320100
11152158413866
12694a6ba3798
13307c075262c
1416489b62b9a
15add60c7685
hex61cc69e6a4

420041320100 has 72 divisors (see below), whose sum is σ = 959593894560. Its totient is φ = 159151806720.

The previous prime is 420041320087. The next prime is 420041320109. The reversal of 420041320100 is 1023140024.

It is not an unprimeable number, because it can be changed into a prime (420041320109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23659427 + ... + 23677173.

It is an arithmetic number, because the mean of its divisors is an integer number (13327692980).

Almost surely, 2420041320100 is an apocalyptic number.

It is an amenable number.

420041320100 is an abundant number, since it is smaller than the sum of its proper divisors (539552574460).

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

420041320100 is a wasteful number, since it uses less digits than its factorization.

420041320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30237 (or 30230 counting only the distinct ones).

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

Adding to 420041320100 its reverse (1023140024), we get a palindrome (421064460124).

The spelling of 420041320100 in words is "four hundred twenty billion, forty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 12457 17747 24914 35494 49828 62285 70988 88735 124570 177470 236683 249140 311425 337193 354940 443675 473366 622850 674386 887350 946732 1183415 1245700 1348772 1685965 1774700 2366830 3371930 4733660 5917075 6743860 8429825 11834150 16859650 23668300 33719300 221074379 442148758 884297516 1105371895 2210743790 4200413201 4421487580 5526859475 8400826402 11053718950 16801652804 21002066005 22107437900 42004132010 84008264020 105010330025 210020660050 420041320100