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30141022440100 = 225211132107763807
BaseRepresentation
bin1101101101001110000001…
…11011111000101010100100
310221201110020200021222101011
412312213000323320222210
512422312303221040400
6144034332231312004
76230421430350355
oct666470073705244
9127643220258334
1030141022440100
119670810435610
12346964751b604
1313a8394a97390
14762b946c7d2c
153740856608ba
hex1b69c0ef8aa4

30141022440100 has 72 divisors (see below), whose sum is σ = 76840637384448. Its totient is φ = 10117266268800.

The previous prime is 30141022440079. The next prime is 30141022440161. The reversal of 30141022440100 is 104422014103.

It is a happy number.

It is a super-2 number, since 2×301410224401002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053867604 + ... + 1053896203.

It is an arithmetic number, because the mean of its divisors is an integer number (1067231074784).

Almost surely, 230141022440100 is an apocalyptic number.

It is an amenable number.

30141022440100 is an abundant number, since it is smaller than the sum of its proper divisors (46699614944348).

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

30141022440100 is a wasteful number, since it uses less digits than its factorization.

30141022440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107763845 (or 2107763838 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 30141022440100 its reverse (104422014103), we get a palindrome (30245444454203).

The spelling of 30141022440100 in words is "thirty trillion, one hundred forty-one billion, twenty-two million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 2107763807 4215527614 8431055228 10538819035 21077638070 23185401877 27400929491 42155276140 46370803754 52694095175 54801858982 92741607508 105388190350 109603717964 115927009385 137004647455 210776380700 231854018770 274009294910 301410224401 463708037540 548018589820 579635046925 602820448802 685023237275 1159270093850 1205640897604 1370046474550 1507051122005 2318540187700 2740092949100 3014102244010 6028204488020 7535255610025 15070511220050 30141022440100