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100012211202211 = 731139887664561
BaseRepresentation
bin10110101111010111101000…
…010100100110100010100011
3111010010001222221211212121021
4112233113220110212202203
5101102100002031432321
6552412550415110311
730031433553511000
oct2657275024464243
9433101887755537
10100012211202211
1129959a38a02130
12b273053212397
1343a6159c87899
141a9a88c8ca8a7
15b8683185d941
hex5af5e85268a3

100012211202211 has 32 divisors (see below), whose sum is σ = 127238635468800. Its totient is φ = 77929522070400.

The previous prime is 100012211202187. The next prime is 100012211202257. The reversal of 100012211202211 is 112202112210001.

It is not a de Polignac number, because 100012211202211 - 233 = 100003621267619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012211202611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150161371 + ... + 150825931.

It is an arithmetic number, because the mean of its divisors is an integer number (3976207358400).

Almost surely, 2100012211202211 is an apocalyptic number.

100012211202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100012211202211 is a deficient number, since it is larger than the sum of its proper divisors (27226424266589).

100012211202211 is an equidigital number, since it uses as much as digits as its factorization.

100012211202211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704480 (or 704466 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100012211202211 its reverse (112202112210001), we get a palindrome (212214323412212).

The spelling of 100012211202211 in words is "one hundred trillion, twelve billion, two hundred eleven million, two hundred two thousand, two hundred eleven".

Divisors: 1 7 11 49 77 343 539 3773 39887 279209 438757 664561 1954463 3071299 4651927 7310171 13681241 21499093 32563489 51171197 150493651 227944423 358198379 2507388653 26507344607 185551412249 291580790677 1298859885743 2041065534739 9092019200201 14287458743173 100012211202211