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2220032011100 = 2252178914673047
BaseRepresentation
bin100000010011100100001…
…110000010101101011100
321212020021211220010200112
4200103210032002231130
5242333111143323400
64415511342345152
7316251314511551
oct40234416025534
97766254803615
102220032011100
11786568215462
122ba31028b1b8
1313146aa88647
14796431caa28
153cb34de2835
hex204e4382b5c

2220032011100 has 72 divisors (see below), whose sum is σ = 5158163293920. Its totient is φ = 826385950720.

The previous prime is 2220032011019. The next prime is 2220032011279. The reversal of 2220032011100 is 11102300222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7185224 + ... + 7487823.

It is an arithmetic number, because the mean of its divisors is an integer number (71641156860).

Almost surely, 22220032011100 is an apocalyptic number.

2220032011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220032011100 is an abundant number, since it is smaller than the sum of its proper divisors (2938131282820).

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

2220032011100 is a wasteful number, since it uses less digits than its factorization.

2220032011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14673167 (or 14673160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2220032011100 its reverse (11102300222), we get a palindrome (2231134311322).

The spelling of 2220032011100 in words is "two trillion, two hundred twenty billion, thirty-two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 89 100 170 178 340 356 425 445 850 890 1513 1700 1780 2225 3026 4450 6052 7565 8900 15130 30260 37825 75650 151300 14673047 29346094 58692188 73365235 146730470 249441799 293460940 366826175 498883598 733652350 997767196 1247208995 1305901183 1467304700 2494417990 2611802366 4988835980 5223604732 6236044975 6529505915 12472089950 13059011830 22200320111 24944179900 26118023660 32647529575 44400640222 65295059150 88801280444 111001600555 130590118300 222003201110 444006402220 555008002775 1110016005550 2220032011100