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30113331122100 = 22352229841436727
BaseRepresentation
bin1101101100011010011100…
…11001111000111110110100
310221121210202211012021022210
412312031032121320332310
512421334100231401400
6144013512350253420
76225421263133002
oct666151631707664
9127553684167283
1030113331122100
11965aaa0402536
1234641b97b7270
1313a58a0ac7105
147616c8b2ba72
153734b4570950
hex1b634e678fb4

30113331122100 has 72 divisors (see below), whose sum is σ = 87128483295168. Its totient is φ = 8030168307200.

The previous prime is 30113331122089. The next prime is 30113331122221. The reversal of 30113331122100 is 122113331103.

It is a happy number.

30113331122100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×301133311221002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 68733937 + ... + 69170663.

It is an arithmetic number, because the mean of its divisors is an integer number (1210117823544).

Almost surely, 230113331122100 is an apocalyptic number.

30113331122100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30113331122100 is an abundant number, since it is smaller than the sum of its proper divisors (57015152173068).

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

30113331122100 is a wasteful number, since it uses less digits than its factorization.

30113331122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666585 (or 666578 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 30113331122100 its reverse (122113331103), we get a palindrome (30235444453203).

The spelling of 30113331122100 in words is "thirty trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 229841 436727 459682 689523 873454 919364 1149205 1310181 1379046 1746908 2183635 2298410 2620362 2758092 3447615 4367270 4596820 5240724 5746025 6550905 6895230 8734540 10918175 11492050 13101810 13790460 17238075 21836350 22984100 26203620 32754525 34476150 43672700 65509050 68952300 131018100 100377770407 200755540814 301133311221 401511081628 501888852035 602266622442 1003777704070 1204533244884 1505666556105 2007555408140 2509444260175 3011333112210 5018888520350 6022666224420 7528332780525 10037777040700 15056665561050 30113331122100