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1101002100012 = 2233194711415973
BaseRepresentation
bin10000000001011000110…
…101101100110100101100
310220020212201200201112000
4100001120311230310230
5121014323014200022
62201443212012300
7142354600302633
oct20013065546454
93806781621460
101101002100012
11394a28a89621
1215946b461090
137ca9359c269
143b40860051a
151d98d9496ac
hex10058d6cd2c

1101002100012 has 96 divisors (see below), whose sum is σ = 3068613811200. Its totient is φ = 340287293376.

The previous prime is 1101002099999. The next prime is 1101002100017. The reversal of 1101002100012 is 2100012001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101002099967 and 1101002100003.

It is not an unprimeable number, because it can be changed into a prime (1101002100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5611543 + ... + 5804430.

It is an arithmetic number, because the mean of its divisors is an integer number (31964727200).

Almost surely, 21101002100012 is an apocalyptic number.

1101002100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101002100012 is an abundant number, since it is smaller than the sum of its proper divisors (1967611711188).

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

1101002100012 is a wasteful number, since it uses less digits than its factorization.

1101002100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416052 (or 11416044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101002100012 its reverse (2100012001011), we get a palindrome (3201014101023).

Subtracting 1101002100012 from its reverse (2100012001011), we obtain a palindrome (999009900999).

The spelling of 1101002100012 in words is "one trillion, one hundred one billion, two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 47 54 57 76 94 108 114 141 171 188 228 282 342 423 513 564 684 846 893 1026 1269 1692 1786 2052 2538 2679 3572 5076 5358 8037 10716 16074 24111 32148 48222 96444 11415973 22831946 34247919 45663892 68495838 102743757 136991676 205487514 216903487 308231271 410975028 433806974 536550731 616462542 650710461 867613948 1073101462 1232925084 1301420922 1609652193 1952131383 2146202924 2602841844 3219304386 3904262766 4828956579 5856394149 6438608772 7808525532 9657913158 10194463889 11712788298 14486869737 19315826316 20388927778 23425576596 28973739474 30583391667 40777855556 57947478948 61166783334 91750175001 122333566668 183500350002 275250525003 367000700004 550501050006 1101002100012