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30133794900 = 223521131294563
BaseRepresentation
bin11100000100000111…
…010011100001010100
32212210002001101110210
4130010013103201110
5443203222414100
621502051445420
72114513013306
oct340407234124
985702041423
1030133794900
1111863818130
125a0b8b6870
132ac300bc91
14165c115976
15bb5756c50
hex7041d3854

30133794900 has 144 divisors (see below), whose sum is σ = 98181715968. Its totient is φ = 7069488000.

The previous prime is 30133794853. The next prime is 30133794919. The reversal of 30133794900 is 949733103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44982 + ... + 249581.

It is an arithmetic number, because the mean of its divisors is an integer number (681817472).

Almost surely, 230133794900 is an apocalyptic number.

30133794900 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 30133794900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49090857984).

30133794900 is an abundant number, since it is smaller than the sum of its proper divisors (68047921068).

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

30133794900 is a wasteful number, since it uses less digits than its factorization.

30133794900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294622 (or 294615 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The spelling of 30133794900 in words is "thirty billion, one hundred thirty-three million, seven hundred ninety-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 294563 589126 883689 1178252 1472815 1767378 2945630 3240193 3534756 4418445 5891260 6480386 7364075 8836890 9131453 9720579 12960772 14728150 16200965 17673780 18262906 19441158 22092225 27394359 29456300 32401930 36525812 38882316 44184450 45657265 48602895 54788718 64803860 81004825 88368900 91314530 97205790 100445983 109577436 136971795 162009650 182629060 194411580 200891966 228286325 243014475 273943590 301337949 324019300 401783932 456572650 486028950 502229915 547887180 602675898 684858975 913145300 972057900 1004459830 1205351796 1369717950 1506689745 2008919660 2511149575 2739435900 3013379490 5022299150 6026758980 7533448725 10044598300 15066897450 30133794900