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2221121101020 = 2235194751410093
BaseRepresentation
bin100000010100100101001…
…000100101110011011100
321212100002202012122012020
4200110211020211303130
5242342324000213040
64420211405340140
7316320310565043
oct40244510456334
97770082178166
102221121101020
11786a76a58878
122ba574b67650
131315b25b9453
1479707ac955a
153cb9a820cd0
hex20525225cdc

2221121101020 has 96 divisors (see below), whose sum is σ = 6547856071680. Its totient is φ = 561005856000.

The previous prime is 2221121101013. The next prime is 2221121101061. The reversal of 2221121101020 is 201011211222.

It is a super-3 number, since 3×22211211010203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5211094 + ... + 5621186.

It is an arithmetic number, because the mean of its divisors is an integer number (68206834080).

Almost surely, 22221121101020 is an apocalyptic number.

2221121101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221121101020 is an abundant number, since it is smaller than the sum of its proper divisors (4326734970660).

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

2221121101020 is a wasteful number, since it uses less digits than its factorization.

2221121101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414875 (or 414873 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2221121101020 its reverse (201011211222), we get a palindrome (2422132312242).

The spelling of 2221121101020 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 4751 9502 14253 19004 23755 28506 47510 57012 71265 90269 95020 142530 180538 270807 285060 361076 410093 451345 541614 820186 902690 1083228 1230279 1354035 1640372 1805380 2050465 2460558 2708070 4100930 4921116 5416140 6151395 7791767 8201860 12302790 15583534 23375301 24605580 31167068 38958835 46750602 77917670 93501204 116876505 155835340 233753010 467506020 1948351843 3896703686 5845055529 7793407372 9741759215 11690111058 19483518430 23380222116 29225277645 37018685017 38967036860 58450555290 74037370034 111056055051 116901110580 148074740068 185093425085 222112110102 370186850170 444224220204 555280275255 740373700340 1110560550510 2221121101020