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1021220011224 = 2332711171813993
BaseRepresentation
bin11101101110001010111…
…01001011110011011000
310121121221120121200111200
432313011131023303120
5113212424310324344
62101050400554200
7133531532604660
oct16670535136330
93547846550450
101021220011224
11364108089456
12145b04622960
13753ba6531ba
14375da78b1a0
151b86e672069
hexedc574bcd8

1021220011224 has 96 divisors (see below), whose sum is σ = 3163750655520. Its totient is φ = 291515770368.

The previous prime is 1021220011223. The next prime is 1021220011283. The reversal of 1021220011224 is 4221100221201.

It is a super-2 number, since 2×10212200112242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021220011197 and 1021220011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021220011223) 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 23 ways as a sum of consecutive naturals, for example, 344029 + ... + 1469964.

It is an arithmetic number, because the mean of its divisors is an integer number (32955735995).

Almost surely, 21021220011224 is an apocalyptic number.

1021220011224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1021220011224 is an abundant number, since it is smaller than the sum of its proper divisors (2142530644296).

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

1021220011224 is a wasteful number, since it uses less digits than its factorization.

1021220011224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815129 (or 1815122 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1021220011224 its reverse (4221100221201), we get a palindrome (5242320232425).

The spelling of 1021220011224 in words is "one trillion, twenty-one billion, two hundred twenty million, eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1117 2234 3351 4468 6702 7819 8936 10053 13404 15638 20106 23457 26808 31276 40212 46914 62552 70371 80424 93828 140742 187656 281484 562968 1813993 3627986 5441979 7255972 10883958 12697951 14511944 16325937 21767916 25395902 32651874 38093853 43535832 50791804 65303748 76187706 101583608 114281559 130607496 152375412 228563118 304750824 457126236 914252472 2026230181 4052460362 6078690543 8104920724 12157381086 14183611267 16209841448 18236071629 24314762172 28367222534 36472143258 42550833801 48629524344 56734445068 72944286516 85101667602 113468890136 127652501403 145888573032 170203335204 255305002806 340406670408 510610005612 1021220011224