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10212022343440 = 2452395211025147
BaseRepresentation
bin1001010010011010101111…
…1101101101011100010000
31100011021000101200021010001
42110212223331231130100
52314303210204442230
633415201023415344
72102536301464261
oct224465375553420
940137011607101
1010212022343440
113287992427845
12118b1a9754554
13590cb3133188
1427439bba6968
1512a988a9d0ca
hex949abf6d710

10212022343440 has 80 divisors (see below), whose sum is σ = 23888080707840. Its totient is φ = 4059906206720.

The previous prime is 10212022343429. The next prime is 10212022343447. The reversal of 10212022343440 is 4434322021201.

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

It is a super-2 number, since 2×102120223434402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212022343399 and 10212022343408.

It is not an unprimeable number, because it can be changed into a prime (10212022343447) 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 15 ways as a sum of consecutive naturals, for example, 9448947 + ... + 10474093.

It is an arithmetic number, because the mean of its divisors is an integer number (298601008848).

Almost surely, 210212022343440 is an apocalyptic number.

10212022343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212022343440 is an abundant number, since it is smaller than the sum of its proper divisors (13676058364400).

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

10212022343440 is a wasteful number, since it uses less digits than its factorization.

10212022343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025920 (or 1025914 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10212022343440 its reverse (4434322021201), we get a palindrome (14646344364641).

The spelling of 10212022343440 in words is "ten trillion, two hundred twelve billion, twenty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 521 956 1042 1195 1912 2084 2390 2605 3824 4168 4780 5210 8336 9560 10420 19120 20840 41680 124519 249038 498076 622595 996152 1025147 1245190 1992304 2050294 2490380 4100588 4980760 5125735 8201176 9961520 10251470 16402352 20502940 41005880 82011760 245010133 490020266 534101587 980040532 1068203174 1225050665 1960081064 2136406348 2450101330 2670507935 3920162128 4272812696 4900202660 5341015870 8545625392 9800405320 10682031740 19600810640 21364063480 42728126960 127650279293 255300558586 510601117172 638251396465 1021202234344 1276502792930 2042404468688 2553005585860 5106011171720 10212022343440