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1000010120220 = 2233511811568053
BaseRepresentation
bin11101000110101010011…
…11110111110000011100
310112121012102110120211000
432203111033313300130
5112341010042321340
62043222011230300
7132151116526026
oct16432517676034
93477172416730
101000010120220
11356113708411
12141985448390
13733ba400037
143658791d016
151b02c5b4d30
hexe8d53f7c1c

1000010120220 has 96 divisors (see below), whose sum is σ = 3113778911040. Its totient is φ = 266443395840.

The previous prime is 1000010120173. The next prime is 1000010120231. The reversal of 1000010120220 is 220210100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146287 + ... + 1421766.

It is an arithmetic number, because the mean of its divisors is an integer number (32435196990).

Almost surely, 21000010120220 is an apocalyptic number.

1000010120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000010120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556889455520).

1000010120220 is an abundant number, since it is smaller than the sum of its proper divisors (2113768790820).

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

1000010120220 is a wasteful number, since it uses less digits than its factorization.

1000010120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569252 (or 1569244 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000010120220 its reverse (220210100001), we get a palindrome (1220220220221).

The spelling of 1000010120220 in words is "one trillion, ten million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1181 2362 3543 4724 5905 7086 10629 11810 14172 17715 21258 23620 31887 35430 42516 53145 63774 70860 106290 127548 159435 212580 318870 637740 1568053 3136106 4704159 6272212 7840265 9408318 14112477 15680530 18816636 23520795 28224954 31361060 42337431 47041590 56449908 70562385 84674862 94083180 141124770 169349724 211687155 282249540 423374310 846748620 1851870593 3703741186 5555611779 7407482372 9259352965 11111223558 16666835337 18518705930 22222447116 27778058895 33333670674 37037411860 50000506011 55556117790 66667341348 83334176685 100001012022 111112235580 166668353370 200002024044 250002530055 333336706740 500005060110 1000010120220