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20222102101120 = 27569834524851
BaseRepresentation
bin1001001100100010100110…
…01101100101110010000000
32122121012210001202021000221
410212101103031211302000
510122304331114213440
6111001523324552424
74154666353520323
oct446212315456200
978535701667027
1020222102101120
1164971664a0a07
1223272190b2714
13b38c22652b4a
144dca7d89a7ba
152510538a5d4a
hex126453365c80

20222102101120 has 64 divisors (see below), whose sum is σ = 48350396543040. Its totient is φ = 8087680691200.

The previous prime is 20222102101093. The next prime is 20222102101127. The reversal of 20222102101120 is 2110120122202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20222102101094 and 20222102101103.

It is not an unprimeable number, because it can be changed into a prime (20222102101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2206695 + ... + 6731545.

It is an arithmetic number, because the mean of its divisors is an integer number (755474945985).

Almost surely, 220222102101120 is an apocalyptic number.

20222102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222102101120 is an abundant number, since it is smaller than the sum of its proper divisors (28128294441920).

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

20222102101120 is an equidigital number, since it uses as much as digits as its factorization.

20222102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531853 (or 4531841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20222102101120 its reverse (2110120122202), we get a palindrome (22332222223322).

The spelling of 20222102101120 in words is "twenty trillion, two hundred twenty-two billion, one hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6983 13966 27932 34915 55864 69830 111728 139660 223456 279320 446912 558640 893824 1117280 2234560 4469120 4524851 9049702 18099404 22624255 36198808 45248510 72397616 90497020 144795232 180994040 289590464 361988080 579180928 723976160 1447952320 2895904640 31597034533 63194069066 126388138132 157985172665 252776276264 315970345330 505552552528 631940690660 1011105105056 1263881381320 2022210210112 2527762762640 4044420420224 5055525525280 10111051050560 20222102101120