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1210213100032 = 2929564114449
BaseRepresentation
bin10001100111000110010…
…100100110101000000000
311021200202211110100101121
4101213012110212220000
5124312004023200112
62323544134442024
7153302131422616
oct21470624465000
94250684410347
101210213100032
11427280821332
12176669b03314
138a179498071
1442808abd6b6
152173163e407
hex119c6526a00

1210213100032 has 80 divisors (see below), whose sum is σ = 2502060561000. Its totient is φ = 584096808960.

The previous prime is 1210213099969. The next prime is 1210213100039. The reversal of 1210213100032 is 2300013120121.

It can be written as a sum of positive squares in 4 ways, for example, as 1109028034816 + 101185065216 = 1053104^2 + 318096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1210213099979 and 1210213100015.

It is not an unprimeable number, because it can be changed into a prime (1210213100039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83750344 + ... + 83764792.

Almost surely, 21210213100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210213100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251030280500).

1210213100032 is an abundant number, since it is smaller than the sum of its proper divisors (1291847460968).

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

1210213100032 is an equidigital number, since it uses as much as digits as its factorization.

1210213100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20137 (or 20121 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1210213100032 its reverse (2300013120121), we get a palindrome (3510226220153).

The spelling of 1210213100032 in words is "one trillion, two hundred ten billion, two hundred thirteen million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 5641 7424 11282 14449 14848 22564 28898 45128 57796 90256 115592 163589 180512 231184 327178 361024 419021 462368 654356 722048 838042 924736 1308712 1444096 1676084 1849472 2617424 2888192 3352168 3698944 5234848 6704336 7397888 10469696 13408672 20939392 26817344 41878784 53634688 81506809 83757568 107269376 163013618 214538752 326027236 652054472 1304108944 2363697461 2608217888 4727394922 5216435776 9454789844 10432871552 18909579688 20865743104 37819159376 41731486208 75638318752 151276637504 302553275008 605106550016 1210213100032