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1001201102120 = 235211186163743
BaseRepresentation
bin11101001000111000011…
…11000110110100101000
310112201021102111201211202
432210130033012310220
5112400424440231440
62043540114143332
7132222460644332
oct16443417066450
93481242451752
101001201102120
11356674a1477a
12142058281b48
137354a08785b
143665bb82452
151b09be1d615
hexe91c3c6d28

1001201102120 has 64 divisors (see below), whose sum is σ = 2264630538240. Its totient is φ = 398362003200.

The previous prime is 1001201102113. The next prime is 1001201102141. The reversal of 1001201102120 is 212011021001.

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 15 ways as a sum of consecutive naturals, for example, 15674969 + ... + 15738711.

It is an arithmetic number, because the mean of its divisors is an integer number (35384852160).

Almost surely, 21001201102120 is an apocalyptic number.

1001201102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001201102120 is an abundant number, since it is smaller than the sum of its proper divisors (1263429436120).

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

1001201102120 is a wasteful number, since it uses less digits than its factorization.

1001201102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65826 (or 65822 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001201102120 its reverse (212011021001), we get a palindrome (1213212123121).

The spelling of 1001201102120 in words is "one trillion, one billion, two hundred one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 1861 2110 3722 4220 7444 8440 9305 14888 18610 37220 63743 74440 127486 254972 318715 392671 509944 637430 785342 1274860 1570684 1963355 2549720 3141368 3926710 7853420 13449773 15706840 26899546 53799092 67248865 107598184 118625723 134497730 237251446 268995460 474502892 537990920 593128615 949005784 1186257230 2372514460 4745028920 25030027553 50060055106 100120110212 125150137765 200240220424 250300275530 500600551060 1001201102120