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10031202420 = 22355910925997
BaseRepresentation
bin10010101011110100…
…00000000001110100
3221220002110212210120
421111322000001310
5131020441434140
64335215251540
7503403546051
oct112572000164
927802425716
1010031202420
114288396938
121b3b519bb0
13c3b2c3845
146b2366028
153da9c31d0
hex255e80074

10031202420 has 96 divisors (see below), whose sum is σ = 28826582400. Its totient is φ = 2605423104.

The previous prime is 10031202331. The next prime is 10031202421. The reversal of 10031202420 is 2420213001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10031202420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031202421) 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, 372862 + ... + 398858.

It is an arithmetic number, because the mean of its divisors is an integer number (300276900).

Almost surely, 210031202420 is an apocalyptic number.

10031202420 is a gapful number since it is divisible by the number (10) 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 10031202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413291200).

10031202420 is an abundant number, since it is smaller than the sum of its proper divisors (18795379980).

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

10031202420 is a wasteful number, since it uses less digits than its factorization.

10031202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26177 (or 26175 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10031202420 its reverse (2420213001), we get a palindrome (12451415421).

The spelling of 10031202420 in words is "ten billion, thirty-one million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 109 118 177 218 236 295 327 354 436 545 590 654 708 885 1090 1180 1308 1635 1770 2180 3270 3540 6431 6540 12862 19293 25724 25997 32155 38586 51994 64310 77172 77991 96465 103988 128620 129985 155982 192930 259970 311964 385860 389955 519940 779910 1533823 1559820 2833673 3067646 4601469 5667346 6135292 7669115 8501019 9202938 11334692 14168365 15338230 17002038 18405876 23007345 28336730 30676460 34004076 42505095 46014690 56673460 85010190 92029380 167186707 170020380 334373414 501560121 668746828 835933535 1003120242 1671867070 2006240484 2507800605 3343734140 5015601210 10031202420