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10211223332232 = 23321310909426637
BaseRepresentation
bin1001010010010111110001…
…0101101110010110001000
31100011011221201012021210100
42110211330111232112020
52314300041133112412
633414545442045400
72102510430136446
oct224457425562610
940134851167710
1010211223332232
1132876124018aa
12118b006049860
13590bb6738390
14274323a17b96
1512a93d86dedc
hex9497c56e588

10211223332232 has 48 divisors (see below), whose sum is σ = 29782734721740. Its totient is φ = 3141914871168.

The previous prime is 10211223332111. The next prime is 10211223332267. The reversal of 10211223332232 is 23223332211201.

10211223332232 is a `hidden beast` number, since 1 + 0 + 211 + 223 + 3 + 3 + 223 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8311308448356 + 1899914883876 = 2882934^2 + 1378374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211223332196 and 10211223332205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5454712383 + ... + 5454714254.

Almost surely, 210211223332232 is an apocalyptic number.

10211223332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211223332232 is an abundant number, since it is smaller than the sum of its proper divisors (19571511389508).

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

10211223332232 is a wasteful number, since it uses less digits than its factorization.

10211223332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909426662 (or 10909426655 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10211223332232 its reverse (23223332211201), we get a palindrome (33434555543433).

The spelling of 10211223332232 in words is "ten trillion, two hundred eleven billion, two hundred twenty-three million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 10909426637 21818853274 32728279911 43637706548 65456559822 87275413096 98184839733 130913119644 141822546281 196369679466 261826239288 283645092562 392739358932 425467638843 567290185124 785478717864 850935277686 1134580370248 1276402916529 1701870555372 2552805833058 3403741110744 5105611666116 10211223332232