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10222040422100 = 2252137863108017
BaseRepresentation
bin1001010011000000000100…
…0101101001011011010100
31100012012212120110101111102
42110300001011221123110
52314434214322001400
633423535053525232
72103342455653553
oct224600105513324
940165776411442
1010222040422100
11329116336a5a1
1211911247a3818
13591c1b7b0380
14274a6c4b3d9a
1512ad7332c9d5
hex94c011696d4

10222040422100 has 36 divisors (see below), whose sum is σ = 23888122158684. Its totient is φ = 3774291847680.

The previous prime is 10222040422049. The next prime is 10222040422141. The reversal of 10222040422100 is 122404022201.

It can be written as a sum of positive squares in 6 ways, for example, as 943936606096 + 9278103816004 = 971564^2 + 3045998^2 .

It is a super-2 number, since 2×102220404221002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3931552709 + ... + 3931555308.

Almost surely, 210222040422100 is an apocalyptic number.

10222040422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222040422100 is an abundant number, since it is smaller than the sum of its proper divisors (13666081736584).

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

10222040422100 is a wasteful number, since it uses less digits than its factorization.

10222040422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863108044 (or 7863108037 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10222040422100 its reverse (122404022201), we get a palindrome (10344444444301).

The spelling of 10222040422100 in words is "ten trillion, two hundred twenty-two billion, forty million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7863108017 15726216034 31452432068 39315540085 78631080170 102220404221 157262160340 196577700425 204440808442 393155400850 408881616884 511102021105 786310801700 1022204042210 2044408084420 2555510105525 5111020211050 10222040422100