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1000020121110 = 232519069582691
BaseRepresentation
bin11101000110101011101…
…10000001011000010110
310112121020010021200110100
432203111312001120112
5112341020122333420
62043223005434530
7132151300531113
oct16432566013026
93477203250410
101000020121110
1135611931920a
1214198886ba46
13733bc4c211a
1436588da390a
151b02d3dd190
hexe8d5d81616

1000020121110 has 48 divisors (see below), whose sum is σ = 2600193126960. Its totient is φ = 266657590080.

The previous prime is 1000020121039. The next prime is 1000020121147. The reversal of 1000020121110 is 111210200001.

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 = 1000020121092 and 1000020121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424865 + ... + 2007555.

It is an arithmetic number, because the mean of its divisors is an integer number (54170690145).

Almost surely, 21000020121110 is an apocalyptic number.

1000020121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000020121110 is an abundant number, since it is smaller than the sum of its proper divisors (1600173005850).

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

1000020121110 is a wasteful number, since it uses less digits than its factorization.

1000020121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601773 (or 601770 counting only the distinct ones).

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

Adding to 1000020121110 its reverse (111210200001), we get a palindrome (1111230321111).

The spelling of 1000020121110 in words is "one trillion, twenty million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 19069 38138 57207 95345 114414 171621 190690 286035 343242 572070 582691 858105 1165382 1716210 1748073 2913455 3496146 5244219 5826910 8740365 10488438 17480730 26221095 52442190 11111334679 22222669358 33334004037 55556673395 66668008074 100002012111 111113346790 166670020185 200004024222 333340040370 500010060555 1000020121110