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1001022101010 = 233530391121993
BaseRepresentation
bin11101001000100011001…
…00010001011000010010
310112200210221200112111000
432210101210101120102
5112400043124213020
62043510241402430
7132215155316241
oct16442144213022
93480727615430
101001022101010
11356592974578
12142008339416
137351bc73539
14366420a8958
151b08b361090
hexe911911612

1001022101010 has 64 divisors (see below), whose sum is σ = 2669501986560. Its totient is φ = 266928255360.

The previous prime is 1001022100979. The next prime is 1001022101021. The reversal of 1001022101010 is 101012201001.

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 = 1001022100983 and 1001022101001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8144574 + ... + 8266566.

It is an arithmetic number, because the mean of its divisors is an integer number (41710968540).

Almost surely, 21001022101010 is an apocalyptic number.

1001022101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001022101010 is an abundant number, since it is smaller than the sum of its proper divisors (1668479885550).

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

1001022101010 is a wasteful number, since it uses less digits than its factorization.

1001022101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152400 (or 152394 counting only the distinct ones).

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

Adding to 1001022101010 its reverse (101012201001), we get a palindrome (1102034302011).

Subtracting from 1001022101010 its reverse (101012201001), we obtain a palindrome (900009900009).

The spelling of 1001022101010 in words is "one trillion, one billion, twenty-two million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 30391 60782 91173 121993 151955 182346 243986 273519 303910 365979 455865 547038 609965 731958 820557 911730 1097937 1219930 1367595 1641114 1829895 2195874 2735190 3293811 3659790 4102785 5489685 6587622 8205570 10979370 16469055 32938110 3707489263 7414978526 11122467789 18537446315 22244935578 33367403367 37074892630 55612338945 66734806734 100102210101 111224677890 166837016835 200204420202 333674033670 500511050505 1001022101010