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21221032103120 = 2451988853157127
BaseRepresentation
bin1001101001100111010000…
…00101001000110011010000
32210010201012012210011012102
410310303220011020303100
510240141133204244440
6113044450233415532
74320111646450553
oct464635005106320
983121165704172
1021221032103120
116841875433533
12246894086a5a8
13bac19a043875
14535163b7469a
1526c01b210b15
hex134ce8148cd0

21221032103120 has 80 divisors (see below), whose sum is σ = 51936598880640. Its totient is φ = 8041512586752.

The previous prime is 21221032103083. The next prime is 21221032103153. The reversal of 21221032103120 is 2130123012212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21221032103092 and 21221032103101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134977997 + ... + 135135123.

It is an arithmetic number, because the mean of its divisors is an integer number (649207486008).

Almost surely, 221221032103120 is an apocalyptic number.

21221032103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221032103120 is an abundant number, since it is smaller than the sum of its proper divisors (30715566777520).

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

21221032103120 is a wasteful number, since it uses less digits than its factorization.

21221032103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246012 (or 246006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21221032103120 its reverse (2130123012212), we get a palindrome (23351155115332).

The spelling of 21221032103120 in words is "twenty-one trillion, two hundred twenty-one billion, thirty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 88853 157127 177706 314254 355412 444265 628508 710824 785635 888530 1257016 1421648 1571270 1688207 1777060 2514032 2985413 3142540 3376414 3554120 5970826 6285080 6752828 7108240 8441035 11941652 12570160 13505656 14927065 16882070 23883304 27011312 29854130 33764140 47766608 59708260 67528280 119416520 135056560 238833040 13961205331 27922410662 55844821324 69806026655 111689642648 139612053310 223379285296 265262901289 279224106620 530525802578 558448213240 1061051605156 1116896426480 1326314506445 2122103210312 2652629012890 4244206420624 5305258025780 10610516051560 21221032103120