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1001211221024 = 25722133201947
BaseRepresentation
bin11101001000111001101…
…01101101010000100000
310112201022010112211100222
432210130311231100200
5112400440033033044
62043541115102212
7132222642650450
oct16443465552040
93481263484328
101001211221024
1135667a6a6203
1214205b741968
137354c1bb581
143665d257d60
151b09cc6b8ee
hexe91cd6d420

1001211221024 has 48 divisors (see below), whose sum is σ = 2252838184128. Its totient is φ = 429069011712.

The previous prime is 1001211220987. The next prime is 1001211221033. The reversal of 1001211221024 is 4201221121001.

It is a junction number, because it is equal to n+sod(n) for n = 1001211220993 and 1001211221011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4856819 + ... + 5058765.

It is an arithmetic number, because the mean of its divisors is an integer number (46934128836).

Almost surely, 21001211221024 is an apocalyptic number.

1001211221024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001211221024 is an abundant number, since it is smaller than the sum of its proper divisors (1251626963104).

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

1001211221024 is a wasteful number, since it uses less digits than its factorization.

1001211221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224097 (or 224089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1001211221024 its reverse (4201221121001), we get a palindrome (5202432342025).

The spelling of 1001211221024 in words is "one trillion, one billion, two hundred eleven million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 22133 44266 88532 154931 177064 201947 309862 354128 403894 619724 708256 807788 1239448 1413629 1615576 2478896 2827258 3231152 4957792 5654516 6462304 11309032 22618064 45236128 4469692951 8939385902 17878771804 31287850657 35757543608 62575701314 71515087216 125151402628 143030174432 250302805256 500605610512 1001211221024