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30100141200 = 24352101248351
BaseRepresentation
bin11100000010000110…
…111011010010010000
32212200201201121021110
4130002012323102100
5443121114004300
621454450253320
72113623656463
oct340206732220
985621647243
1030100141200
1111846821658
125a00587240
132ab9057c4c
1416578752da
15bb280a550
hex7021bb490

30100141200 has 120 divisors (see below), whose sum is σ = 97375838976. Its totient is φ = 7947200000.

The previous prime is 30100141199. The next prime is 30100141223. The reversal of 30100141200 is 214100103.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976 + ... + 245375.

Almost surely, 230100141200 is an apocalyptic number.

30100141200 is a gapful number since it is divisible by the number (30) 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 30100141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48687919488).

30100141200 is an abundant number, since it is smaller than the sum of its proper divisors (67275697776).

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

30100141200 is a wasteful number, since it uses less digits than its factorization.

30100141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248473 (or 248462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30100141200 its reverse (214100103), we get a palindrome (30314241303).

The spelling of 30100141200 in words is "thirty billion, one hundred million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 150 200 202 240 300 303 400 404 505 600 606 808 1010 1200 1212 1515 1616 2020 2424 2525 3030 4040 4848 5050 6060 7575 8080 10100 12120 15150 20200 24240 30300 40400 60600 121200 248351 496702 745053 993404 1241755 1490106 1986808 2483510 2980212 3725265 3973616 4967020 5960424 6208775 7450530 9934040 11920848 12417550 14901060 18626325 19868080 24835100 25083451 29802120 37252650 49670200 50166902 59604240 74505300 75250353 99340400 100333804 125417255 149010600 150500706 200667608 250834510 298021200 301001412 376251765 401335216 501669020 602002824 627086275 752503530 1003338040 1204005648 1254172550 1505007060 1881258825 2006676080 2508345100 3010014120 3762517650 5016690200 6020028240 7525035300 10033380400 15050070600 30100141200