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222101120001020 = 2251329139211916417
BaseRepresentation
bin110010011111111111110010…
…010111001010001111111100
31002010101122210221001201000012
4302133333302113022033330
5213102401043210013040
62104211502421122352
764532163541561211
oct6237776227121774
91063348727051005
10222101120001020
116484a613092647
1220ab08278593b8
1396c107967b0c0
143cbba74419b08
151aa255e624865
hexc9fff25ca3fc

222101120001020 has 96 divisors (see below), whose sum is σ = 523348785892800. Its totient is φ = 78609123016704.

The previous prime is 222101120000999. The next prime is 222101120001023. The reversal of 222101120001020 is 20100021101222.

It is a super-3 number, since 3×2221011200010203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222101120000986 and 222101120001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101120001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104910149 + ... + 107006268.

It is an arithmetic number, because the mean of its divisors is an integer number (5451549853050).

Almost surely, 2222101120001020 is an apocalyptic number.

222101120001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101120001020 is an abundant number, since it is smaller than the sum of its proper divisors (301247665891780).

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

222101120001020 is a wasteful number, since it uses less digits than its factorization.

222101120001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211916607 (or 211916605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222101120001020 its reverse (20100021101222), we get a palindrome (242201141102242).

The spelling of 222101120001020 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 139 145 260 278 290 377 556 580 695 754 1390 1508 1807 1885 2780 3614 3770 4031 7228 7540 8062 9035 16124 18070 20155 36140 40310 52403 80620 104806 209612 262015 524030 1048060 211916417 423832834 847665668 1059582085 2119164170 2754913421 4238328340 5509826842 6145576093 11019653684 12291152186 13774567105 24582304372 27549134210 29456381963 30727880465 55098268420 58912763926 61455760930 79892489209 117825527852 122911521860 147281909815 159784978418 294563819630 319569956836 382932965519 399462446045 589127639260 765865931038 798924892090 854235076927 1531731862076 1597849784180 1708470153854 1914664827595 3416940307708 3829329655190 4271175384635 7658659310380 8542350769270 11105056000051 17084701538540 22210112000102 44420224000204 55525280000255 111050560000510 222101120001020