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1002122211020 = 225769199110453
BaseRepresentation
bin11101001010100110010…
…00110110111011001100
310112210122121201220201012
432211103020312323030
5112404321241223040
62044211340504352
7132254344151120
oct16452310667314
93483577656635
101002122211020
11356aa79544a7
1214227484b0b8
1373665b622c8
1436708235580
151b102c19865
hexe953236ecc

1002122211020 has 96 divisors (see below), whose sum is σ = 2411235004416. Its totient is φ = 342708537600.

The previous prime is 1002122211011. The next prime is 1002122211023. The reversal of 1002122211020 is 201122212001.

It is a super-2 number, since 2×10021222110202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1002122210986 and 1002122211004.

It is not an unprimeable number, because it can be changed into a prime (1002122211023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95864114 + ... + 95874566.

It is an arithmetic number, because the mean of its divisors is an integer number (25117031296).

Almost surely, 21002122211020 is an apocalyptic number.

1002122211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122211020 is an abundant number, since it is smaller than the sum of its proper divisors (1409112793396).

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

1002122211020 is a wasteful number, since it uses less digits than its factorization.

1002122211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12151 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002122211020 its reverse (201122212001), we get a palindrome (1203244423021).

The spelling of 1002122211020 in words is "one trillion, two billion, one hundred twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 691 991 1382 1982 2764 3455 3964 4837 4955 6910 6937 9674 9910 10453 13820 13874 19348 19820 20906 24185 27748 34685 41812 48370 52265 69370 73171 96740 104530 138740 146342 209060 292684 365855 684781 731710 1369562 1463420 2739124 3423905 4793467 6847810 7223023 9586934 10358923 13695620 14446046 19173868 20717846 23967335 28892092 36115115 41435692 47934670 50561161 51794615 72230230 72512461 95869340 101122322 103589230 144460460 145024922 202244644 207178460 252805805 290049844 362562305 505611610 725124610 1011223220 1450249220 7158015793 14316031586 28632063172 35790078965 50106110551 71580157930 100212221102 143160315860 200424442204 250530552755 501061105510 1002122211020