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30132121200 = 2435261411641
BaseRepresentation
bin11100000100000000…
…111010111001110000
32212202221220100120220
4130010000322321300
5443202310334300
621501551533040
72114462542566
oct340400727160
985687810526
1030132121200
1111862884705
125a0b22a180
132ac287421c
14165bbdba36
15bb5525da0
hex70403ae70

30132121200 has 120 divisors (see below), whose sum is σ = 98105814576. Its totient is φ = 7903488000.

The previous prime is 30132121199. The next prime is 30132121207. The reversal of 30132121200 is 212123103.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×301321212002 (a number of 22 digits) contains 22 as substring.

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 30132121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132621 + ... + 279020.

Almost surely, 230132121200 is an apocalyptic number.

30132121200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30132121200 is an abundant number, since it is smaller than the sum of its proper divisors (67973693376).

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

30132121200 is a wasteful number, since it uses less digits than its factorization.

30132121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411723 (or 411712 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30132121200 its reverse (212123103), we get a palindrome (30344244303).

The spelling of 30132121200 in words is "thirty billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 150 183 200 240 244 300 305 366 400 488 600 610 732 915 976 1200 1220 1464 1525 1830 2440 2928 3050 3660 4575 4880 6100 7320 9150 12200 14640 18300 24400 36600 73200 411641 823282 1234923 1646564 2058205 2469846 3293128 4116410 4939692 6174615 6586256 8232820 9879384 10291025 12349230 16465640 19758768 20582050 24698460 25110101 30873075 32931280 41164100 49396920 50220202 61746150 75330303 82328200 98793840 100440404 123492300 125550505 150660606 164656400 200880808 246984600 251101010 301321212 376651515 401761616 493969200 502202020 602642424 627752525 753303030 1004404040 1205284848 1255505050 1506606060 1883257575 2008808080 2511010100 3013212120 3766515150 5022020200 6026424240 7533030300 10044040400 15066060600 30132121200