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2242421531100 = 223352830526493
BaseRepresentation
bin100000101000011010101…
…111010010000111011100
321221101002012201121011000
4200220122233102013130
5243214434402443400
64434053151430300
7321003203343222
oct40503257220734
97841065647130
102242421531100
117950075491a3
1230271a525390
131335c851ca2a
147a7689a4b12
153d4e5814600
hex20a1abd21dc

2242421531100 has 72 divisors (see below), whose sum is σ = 7208969967920. Its totient is φ = 597979074240.

The previous prime is 2242421531089. The next prime is 2242421531111. The reversal of 2242421531100 is 11351242422.

2242421531100 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 21 + 531 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (2242421531089) and next prime (2242421531111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415260547 + ... + 415265946.

Almost surely, 22242421531100 is an apocalyptic number.

2242421531100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242421531100 is an abundant number, since it is smaller than the sum of its proper divisors (4966548436820).

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

2242421531100 is a wasteful number, since it uses less digits than its factorization.

2242421531100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830526516 (or 830526503 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2242421531100 its reverse (11351242422), we get a palindrome (2253772773522).

It can be divided in two parts, 224242153 and 1100, that added together give a triangular number (224243253 = T21177).

The spelling of 2242421531100 in words is "two trillion, two hundred forty-two billion, four hundred twenty-one million, five hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 830526493 1661052986 2491579479 3322105972 4152632465 4983158958 7474738437 8305264930 9966317916 12457897395 14949476874 16610529860 20763162325 22424215311 24915794790 29898953748 37373692185 41526324650 44848430622 49831589580 62289486975 74747384370 83052649300 89696861244 112121076555 124578973950 149494768740 186868460925 224242153110 249157947900 373736921850 448484306220 560605382775 747473843700 1121210765550 2242421531100