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1100101212120 = 233524138039461
BaseRepresentation
bin10000000000100011001…
…001000101011111011000
310220011112221111212122210
4100000203021011133120
5121011001402241440
62201213550515120
7142323351005421
oct20004311053730
93804487455583
101100101212120
11394606500179
12159259805aa0
137c97ba546c1
143b360ad2648
151d9397e4a80
hex100232457d8

1100101212120 has 64 divisors (see below), whose sum is σ = 3313997929440. Its totient is φ = 292143052800.

The previous prime is 1100101212113. The next prime is 1100101212127. The reversal of 1100101212120 is 212121010011.

It is an interprime number because it is at equal distance from previous prime (1100101212113) and next prime (1100101212127).

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

It is a junction number, because it is equal to n+sod(n) for n = 1100101212096 and 1100101212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101212127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18990811 + ... + 19048650.

Almost surely, 21100101212120 is an apocalyptic number.

1100101212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100101212120 is an abundant number, since it is smaller than the sum of its proper divisors (2213896717320).

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

1100101212120 is a wasteful number, since it uses less digits than its factorization.

1100101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38039716 (or 38039712 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100101212120 its reverse (212121010011), we get a palindrome (1312222222131).

The spelling of 1100101212120 in words is "one trillion, one hundred billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 38039461 76078922 114118383 152157844 190197305 228236766 304315688 380394610 456473532 570591915 760789220 912947064 1141183830 1521578440 2282367660 4564735320 9167510101 18335020202 27502530303 36670040404 45837550505 55005060606 73340080808 91675101010 110010121212 137512651515 183350202020 220020242424 275025303030 366700404040 550050606060 1100101212120