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30212132000 = 255311366841
BaseRepresentation
bin11100001000110010…
…001000110010100000
32212222112110022202212
4130020302020302200
5443333301211000
621513530501252
72116453612331
oct341062106240
985875408685
1030212132000
11118a3a62a36
125a31b94828
132b063094ab
1416686a8288
15bbc57cc35
hex708c88ca0

30212132000 has 96 divisors (see below), whose sum is σ = 74889242064. Its totient is φ = 11977728000.

The previous prime is 30212131987. The next prime is 30212132021. The reversal of 30212132000 is 23121203.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1655187856 + 28556944144 = 40684^2 + 168988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418580 + ... + 485420.

Almost surely, 230212132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37444621032).

30212132000 is an abundant number, since it is smaller than the sum of its proper divisors (44677110064).

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

30212132000 is a wasteful number, since it uses less digits than its factorization.

30212132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66979 (or 66961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30212132000 its reverse (23121203), we get a palindrome (30235253203).

The spelling of 30212132000 in words is "thirty billion, two hundred twelve million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 800 904 1000 1130 1808 2000 2260 2825 3616 4000 4520 5650 9040 11300 14125 18080 22600 28250 45200 56500 66841 90400 113000 133682 226000 267364 334205 452000 534728 668410 1069456 1336820 1671025 2138912 2673640 3342050 5347280 6684100 7553033 8355125 10694560 13368200 15106066 16710250 26736400 30212132 33420500 37765165 53472800 60424264 66841000 75530330 120848528 133682000 151060660 188825825 241697056 267364000 302121320 377651650 604242640 755303300 944129125 1208485280 1510606600 1888258250 3021213200 3776516500 6042426400 7553033000 15106066000 30212132000