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202201121221220 = 2251153101171697367
BaseRepresentation
bin101101111110011010011110…
…000000001110101001100100
3222111221020102210112112101202
4231332122132000032221210
5203000330344013034340
61554013525052142032
760406356165066242
oct5576323600165144
9874836383475352
10202201121221220
1159478017614440
121a817b22467918
1388a963a213314
1437d082d459792
151859aadb69c15
hexb7e69e00ea64

202201121221220 has 96 divisors (see below), whose sum is σ = 476637387883776. Its totient is φ = 71426104256000.

The previous prime is 202201121221207. The next prime is 202201121221241. The reversal of 202201121221220 is 22122121102202.

202201121221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202201121221192 and 202201121221201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84671024 + ... + 87026343.

It is an arithmetic number, because the mean of its divisors is an integer number (4964972790456).

Almost surely, 2202201121221220 is an apocalyptic number.

202201121221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201121221220 is an abundant number, since it is smaller than the sum of its proper divisors (274436266662556).

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

202201121221220 is a wasteful number, since it uses less digits than its factorization.

202201121221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171697541 (or 171697539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202201121221220 its reverse (22122121102202), we get a palindrome (224323242323422).

The spelling of 202201121221220 in words is "two hundred two trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 101 106 110 202 212 220 265 404 505 530 583 1010 1060 1111 1166 2020 2222 2332 2915 4444 5353 5555 5830 10706 11110 11660 21412 22220 26765 53530 58883 107060 117766 235532 294415 588830 1177660 171697367 343394734 686789468 858486835 1716973670 1888671037 3433947340 3777342074 7554684148 9099960451 9443355185 17341434067 18199920902 18886710370 34682868134 36399841804 37773420740 45499802255 69365736268 86707170335 90999604510 100099564961 173414340670 181999209020 190755774737 200199129922 346828681340 381511549474 400398259844 500497824805 763023098948 919096005551 953778873685 1000995649610 1838192011102 1907557747370 2001991299220 3676384022204 3815115494740 4595480027755 9190960055510 10110056061061 18381920111020 20220112122122 40440224244244 50550280305305 101100560610610 202201121221220