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101122211102012 = 22194175109432073
BaseRepresentation
bin10110111111100001011001…
…011110001011110100111100
3111021001012002202111012000022
4112333201121132023310330
5101223241242020231022
6555022522533151312
730204560442132242
oct2677413136136474
9437035082435008
10101122211102012
112a247763a09921
12b4121b3a8b538
134456a25716819
141ad84ac0cc792
15ba564a19cc42
hex5bf85978bd3c

101122211102012 has 48 divisors (see below), whose sum is σ = 190824099463200. Its totient is φ = 46730971837440.

The previous prime is 101122211101991. The next prime is 101122211102021. The reversal of 101122211102012 is 210201112221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233823608 + ... + 234255680.

It is an arithmetic number, because the mean of its divisors is an integer number (3975502072150).

Almost surely, 2101122211102012 is an apocalyptic number.

It is an amenable number.

101122211102012 is a deficient number, since it is larger than the sum of its proper divisors (89701888361188).

101122211102012 is a wasteful number, since it uses less digits than its factorization.

101122211102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507246 (or 507244 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122211102012 its reverse (210201112221101), we get a palindrome (311323323323113).

The spelling of 101122211102012 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred two thousand, twelve".

Divisors: 1 2 4 19 38 41 76 82 164 779 1558 3116 75109 150218 300436 432073 864146 1427071 1728292 2854142 3079469 5708284 6158938 8209387 12317876 16418774 17714993 32837548 35429986 58509911 70859972 117019822 234039644 336584867 673169734 1346339468 32452570957 64905141914 129810283828 616598848183 1233197696366 1330555409237 2466395392732 2661110818474 5322221636948 25280552775503 50561105551006 101122211102012