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20101001221000 = 235372871571603
BaseRepresentation
bin1001001001000001000010…
…00010011001001110001000
32122011122012100002010220201
410210200201002121032020
510113313322303033000
6110430134504501544
74143151356155020
oct444404102311610
978148170063821
1020101001221000
11644a872180307
12230786077a8b4
13b2a69336a32b
144d6c72266a80
1524cd16e4396a
hex124821099388

20101001221000 has 64 divisors (see below), whose sum is σ = 53755820426880. Its totient is φ = 6891771844800.

The previous prime is 20101001220947. The next prime is 20101001221001. The reversal of 20101001221000 is 12210010102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20101001221001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435778802 + ... + 1435792801.

It is an arithmetic number, because the mean of its divisors is an integer number (839934694170).

Almost surely, 220101001221000 is an apocalyptic number.

20101001221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101001221000 is an abundant number, since it is smaller than the sum of its proper divisors (33654819205880).

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

20101001221000 is a wasteful number, since it uses less digits than its factorization.

20101001221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871571631 (or 2871571617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101001221000 its reverse (12210010102), we get a palindrome (20113211231102).

The spelling of 20101001221000 in words is "twenty trillion, one hundred one billion, one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 2871571603 5743143206 11486286412 14357858015 20101001221 22972572824 28715716030 40202002442 57431432060 71789290075 80404004884 100505006105 114862864120 143578580150 160808009768 201010012210 287157160300 358946450375 402020024420 502525030525 574314320600 717892900750 804040048840 1005050061050 1435785801500 2010100122100 2512625152625 2871571603000 4020200244200 5025250305250 10050500610500 20101001221000