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10002022220112 = 2431358733272911
BaseRepresentation
bin1001000110001100011011…
…1110110100000101010000
31022102011222010101200022120
42101203012332310011100
52302333120142020422
633134510544134240
72051423302052616
oct221430676640520
938364863350276
1010002022220112
113206919877a0a
121156561007380
135772570b2680
1426815992d6b6
1512529774445c
hex918c6fb4150

10002022220112 has 80 divisors (see below), whose sum is σ = 27826714476288. Its totient is φ = 3077481623040.

The previous prime is 10002022220081. The next prime is 10002022220171. The reversal of 10002022220112 is 21102222020001.

It is a super-3 number, since 3×100020222201123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10002022220091 and 10002022220100.

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 15 ways as a sum of consecutive naturals, for example, 36512937 + ... + 36785847.

Almost surely, 210002022220112 is an apocalyptic number.

10002022220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002022220112 is an abundant number, since it is smaller than the sum of its proper divisors (17824692256176).

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

10002022220112 is a wasteful number, since it uses less digits than its factorization.

10002022220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331668 (or 331662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002022220112 its reverse (21102222020001), we get a palindrome (31104244240113).

The spelling of 10002022220112 in words is "ten trillion, two billion, twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 58733 117466 176199 234932 272911 352398 469864 545822 704796 763529 818733 939728 1091644 1409592 1527058 1637466 2183288 2290587 2819184 3054116 3274932 3547843 4366576 4581174 6108232 6549864 7095686 9162348 10643529 12216464 13099728 14191372 18324696 21287058 28382744 36649392 42574116 56765488 85148232 170296464 16028881763 32057763526 48086645289 64115527052 96173290578 128231054104 192346581156 208375462919 256462108208 384693162312 416750925838 625126388757 769386324624 833501851676 1250252777514 1667003703352 2500505555028 3334007406704 5001011110056 10002022220112