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1020221110020 = 223572347013983
BaseRepresentation
bin11101101100010011110…
…10101011011100000100
310121112100222000020122210
432312021322223130010
5113203403101010040
62100403315023420
7133465013231400
oct16661172533404
93545328006583
101020221110020
11363745246172
12145885b9ab70
137528b70c1b8
1437543c48100
151b811b0b480
hexed89eab704

1020221110020 has 72 divisors (see below), whose sum is σ = 3323005910784. Its totient is φ = 233193395904.

The previous prime is 1020221109979. The next prime is 1020221110021. The reversal of 1020221110020 is 200111220201.

It is a super-2 number, since 2×10202211100202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020221109978 and 1020221110005.

It is not an unprimeable number, because it can be changed into a prime (1020221110021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173504052 + ... + 173509931.

It is an arithmetic number, because the mean of its divisors is an integer number (46152859872).

Almost surely, 21020221110020 is an apocalyptic number.

1020221110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221110020 is an abundant number, since it is smaller than the sum of its proper divisors (2302784800764).

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

1020221110020 is a wasteful number, since it uses less digits than its factorization.

1020221110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347014009 (or 347014000 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020221110020 its reverse (200111220201), we get a palindrome (1220332330221).

The spelling of 1020221110020 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 347013983 694027966 1041041949 1388055932 1735069915 2082083898 2429097881 3470139830 4164167796 4858195762 5205209745 6940279660 7287293643 9716391524 10410419490 12145489405 14574587286 17003685167 20820838980 24290978810 29149174572 34007370334 36436468215 48581957620 51011055501 68014740668 72872936430 85018425835 102022111002 145745872860 170036851670 204044222004 255055277505 340073703340 510110555010 1020221110020