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22111221002020 = 2254161442047601
BaseRepresentation
bin1010000011100001010110…
…11110010010111100100100
32220021210221000020122212221
411001300223132102330210
510344232240034031040
6115005431003122124
74441324445320033
oct501605336227444
986253830218787
1022111221002020
1170553528a9907
122591377213344
13c45104cb09b7
1456629012a71a
1528526c24474a
hex141c2b792f24

22111221002020 has 48 divisors (see below), whose sum is σ = 48345862135536. Its totient is φ = 8487313920000.

The previous prime is 22111221001993. The next prime is 22111221002023. The reversal of 22111221002020 is 2020012211122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7505539661376 + 14605681340644 = 2739624^2 + 3821738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22111221001985 and 22111221002003.

It is not an unprimeable number, because it can be changed into a prime (22111221002023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220973781 + ... + 221073820.

It is an arithmetic number, because the mean of its divisors is an integer number (1007205461157).

Almost surely, 222111221002020 is an apocalyptic number.

22111221002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111221002020 is an abundant number, since it is smaller than the sum of its proper divisors (26234641133516).

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

22111221002020 is a wasteful number, since it uses less digits than its factorization.

22111221002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442047712 (or 442047710 counting only the distinct ones).

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

Adding to 22111221002020 its reverse (2020012211122), we get a palindrome (24131233213142).

The spelling of 22111221002020 in words is "twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 5002 10004 12505 25010 50020 442047601 884095202 1768190404 2210238005 4420476010 8840952020 18123951641 26964903661 36247903282 53929807322 72495806564 90619758205 107859614644 134824518305 181239516410 269649036610 362479032820 539298073220 1105561050101 2211122100202 4422244200404 5527805250505 11055610501010 22111221002020