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220101212001 = 31122778392609
BaseRepresentation
bin1100110011111100001…
…1011111011101100001
3210001010020021001111210
43030333003133131201
512101231402241001
6245040232500333
721621212301426
oct3147703373541
9701106231453
10220101212001
118538743a300
12367a754a6a9
13179a8973168
14a91d9d1d4d
155ad3033dd6
hex333f0df761

220101212001 has 48 divisors (see below), whose sum is σ = 324247190400. Its totient is φ = 132703802880.

The previous prime is 220101211969. The next prime is 220101212047. The reversal of 220101212001 is 100212101022.

It is not a de Polignac number, because 220101212001 - 25 = 220101211969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220101212801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84360985 + ... + 84363593.

It is an arithmetic number, because the mean of its divisors is an integer number (6755149800).

Almost surely, 2220101212001 is an apocalyptic number.

It is an amenable number.

220101212001 is a deficient number, since it is larger than the sum of its proper divisors (104145978399).

220101212001 is a wasteful number, since it uses less digits than its factorization.

220101212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3739 counting only the distinct ones).

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

Adding to 220101212001 its reverse (100212101022), we get a palindrome (320313313023).

The spelling of 220101212001 in words is "two hundred twenty billion, one hundred one million, two hundred twelve thousand, one".

Divisors: 1 3 11 33 121 277 363 831 839 2517 2609 3047 7827 9141 9229 27687 28699 33517 86097 100551 101519 232403 304557 315689 697209 722693 947067 2168079 2188951 2556433 6566853 7669299 7949623 23848869 24078461 28120763 72235383 84362289 87445853 262337559 264863071 606339427 794589213 1819018281 6669733697 20009201091 73367070667 220101212001