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10202010420 = 22357171428853
BaseRepresentation
bin10011000000001011…
…00101001100110100
3222022222212211022210
421200011211030310
5131343203313140
64404200253420
7510546441420
oct114005451464
928288784283
1010202010420
114365850478
121b88771270
13c677c9874
146cad09b80
153ea9b2d80
hex260165334

10202010420 has 96 divisors (see below), whose sum is σ = 34566835968. Its totient is φ = 2194716672.

The previous prime is 10202010419. The next prime is 10202010421. The reversal of 10202010420 is 2401020201.

It is an interprime number because it is at equal distance from previous prime (10202010419) and next prime (10202010421).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10202010396 and 10202010405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202010421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707287 + ... + 721566.

It is an arithmetic number, because the mean of its divisors is an integer number (360071208).

Almost surely, 210202010420 is an apocalyptic number.

10202010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202010420 is an abundant number, since it is smaller than the sum of its proper divisors (24364825548).

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

10202010420 is a wasteful number, since it uses less digits than its factorization.

10202010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428889 (or 1428887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202010420 its reverse (2401020201), we get a palindrome (12603030621).

The spelling of 10202010420 in words is "ten billion, two hundred two million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 1428853 2857706 4286559 5715412 7144265 8573118 10001971 14288530 17146236 20003942 21432795 24290501 28577060 30005913 40007884 42865590 48581002 50009855 60011826 72871503 85731180 97162004 100019710 120023652 121452505 145743006 150029565 170033507 200039420 242905010 291486012 300059130 340067014 364357515 485810020 510100521 600118260 680134028 728715030 850167535 1020201042 1457430060 1700335070 2040402084 2550502605 3400670140 5101005210 10202010420