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10212022212200 = 235261837051001
BaseRepresentation
bin1001010010011010101111…
…1101001101011001101000
31100011021000101102121002022
42110212223331031121220
52314303210141242300
633415201020524012
72102536300406534
oct224465375153150
940137011377068
1010212022212200
113287992348186
12118b1a96b0608
13590cb30b8513
1427439bb70bc4
1512a988a74285
hex949abf4d668

10212022212200 has 48 divisors (see below), whose sum is σ = 24132180387660. Its totient is φ = 4017844800000.

The previous prime is 10212022212199. The next prime is 10212022212221. The reversal of 10212022212200 is 221222021201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 707762133796 + 9504260078404 = 841286^2 + 3082898^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 418513301 + ... + 418537700.

Almost surely, 210212022212200 is an apocalyptic number.

10212022212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212022212200 is an abundant number, since it is smaller than the sum of its proper divisors (13920158175460).

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

10212022212200 is a wasteful number, since it uses less digits than its factorization.

10212022212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837051078 (or 837051069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10212022212200 its reverse (221222021201), we get a palindrome (10433244233401).

The spelling of 10212022212200 in words is "ten trillion, two hundred twelve billion, twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 837051001 1674102002 3348204004 4185255005 6696408008 8370510010 16741020020 20926275025 33482040040 41852550050 51060111061 83705100100 102120222122 167410200200 204240444244 255300555305 408480888488 510601110610 1021202221220 1276502776525 2042404442440 2553005553050 5106011106100 10212022212200