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202123031300 = 225229531315049
BaseRepresentation
bin1011110000111101111…
…0001011001100000100
3201022201022010211221022
42330033132023030010
511302421444000200
6232504250010312
720413540263431
oct2741736131404
9638638124838
10202123031300
11787a1200023
123320a716998
13160a2112108
149ad6044b88
1553cea3a885
hex2f0f78b304

202123031300 has 72 divisors (see below), whose sum is σ = 462292677000. Its totient is φ = 76588395520.

The previous prime is 202123031267. The next prime is 202123031321. The reversal of 202123031300 is 3130321202.

202123031300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 12487168516 + 189635862784 = 111746^2 + 435472^2 .

It is an unprimeable number.

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, 503825 + ... + 811224.

It is an arithmetic number, because the mean of its divisors is an integer number (6420731625).

Almost surely, 2202123031300 is an apocalyptic number.

202123031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202123031300 is an abundant number, since it is smaller than the sum of its proper divisors (260169645700).

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

202123031300 is a wasteful number, since it uses less digits than its factorization.

202123031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315145 (or 1315138 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 202123031300 its reverse (3130321202), we get a palindrome (205253352502).

The spelling of 202123031300 in words is "two hundred two billion, one hundred twenty-three million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 100 106 116 145 212 265 290 530 580 725 1060 1325 1450 1537 2650 2900 3074 5300 6148 7685 15370 30740 38425 76850 153700 1315049 2630098 5260196 6575245 13150490 26300980 32876225 38136421 65752450 69697597 76272842 131504900 139395194 152545684 190682105 278790388 348487985 381364210 696975970 762728420 953410525 1393951940 1742439925 1906821050 2021230313 3484879850 3813642100 4042460626 6969759700 8084921252 10106151565 20212303130 40424606260 50530757825 101061515650 202123031300