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1010220001000 = 23537523275941
BaseRepresentation
bin11101011001101011100…
…11011110011011101000
310120120112222011021020121
432230311303132123220
5113022412310013000
62052031052333024
7132662123220220
oct16546563363350
93516488137217
101010220001000
1135a482943a11
12143954774174
1374356724002
1436c758b7080
151b428aceb1a
hexeb35cde6e8

1010220001000 has 128 divisors (see below), whose sum is σ = 2706792341760. Its totient is φ = 345697632000.

The previous prime is 1010220000989. The next prime is 1010220001001. The reversal of 1010220001000 is 1000220101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1010220001001) 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, 3523030 + ... + 3798970.

It is an arithmetic number, because the mean of its divisors is an integer number (21146815170).

Almost surely, 21010220001000 is an apocalyptic number.

1010220001000 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 1010220001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353396170880).

1010220001000 is an abundant number, since it is smaller than the sum of its proper divisors (1696572340760).

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

1010220001000 is a wasteful number, since it uses less digits than its factorization.

1010220001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276492 (or 276478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1010220001000 its reverse (1000220101), we get a palindrome (1011220221101).

The spelling of 1010220001000 in words is "one trillion, ten billion, two hundred twenty million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 523 700 875 1000 1046 1400 1750 2092 2615 3500 3661 4184 5230 7000 7322 10460 13075 14644 18305 20920 26150 29288 36610 52300 65375 73220 91525 104600 130750 146440 183050 261500 275941 366100 457625 523000 551882 732200 915250 1103764 1379705 1830500 1931587 2207528 2759410 3661000 3863174 5518820 6898525 7726348 9657935 11037640 13797050 15452696 19315870 27594100 34492625 38631740 48289675 55188200 68985250 77263480 96579350 137970500 144317143 193158700 241448375 275941000 288634286 386317400 482896750 577268572 721585715 965793500 1010220001 1154537144 1443171430 1931587000 2020440002 2886342860 3607928575 4040880004 5051100005 5772685720 7215857150 8081760008 10102200010 14431714300 18039642875 20204400020 25255500025 28863428600 36079285750 40408800040 50511000050 72158571500 101022000100 126277500125 144317143000 202044000200 252555000250 505110000500 1010220001000