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202002132330 = 232529372091769
BaseRepresentation
bin1011110000100001000…
…0111110110101101010
3201022101212122112201200
42330020100332311222
511302200021213310
6232444250425030
720410541536335
oct2741020766552
9638355575650
10202002132330
1178739a34919
1233196132176
1316083061c6b
149ac3d7361c
1553c41089c0
hex2f0843ed6a

202002132330 has 96 divisors (see below), whose sum is σ = 558000565200. Its totient is φ = 50604051456.

The previous prime is 202002132329. The next prime is 202002132347. The reversal of 202002132330 is 33231200202.

It is a happy number.

202002132330 is a `hidden beast` number, since 2 + 0 + 200 + 2 + 132 + 330 = 666.

202002132330 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 8 ways, for example, as 159323117409 + 42679014921 = 399153^2 + 206589^2 .

It is a super-2 number, since 2×2020021323302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 949315 + ... + 1142454.

Almost surely, 2202002132330 is an apocalyptic number.

202002132330 is an abundant number, since it is smaller than the sum of its proper divisors (355998432870).

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

202002132330 is a wasteful number, since it uses less digits than its factorization.

202002132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091848 (or 2091845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 202002132330 its reverse (33231200202), we get a palindrome (235233332532).

The spelling of 202002132330 in words is "two hundred two billion, two million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 96570 2091769 4183538 6275307 10458845 12550614 18825921 20917690 31376535 37651842 60661301 62753070 77395453 94129605 121322602 154790906 181983903 188259210 232186359 303306505 363967806 386977265 464372718 545951709 606613010 696559077 773954530 909919515 1091903418 1160931795 1393118154 1819839030 2244468137 2321863590 2729758545 3482795385 4488936274 5459517090 6733404411 6965590770 11222340685 13466808822 20200213233 22444681370 33667022055 40400426466 67334044110 101001066165 202002132330