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211323323300130 = 232513740693421177
BaseRepresentation
bin110000000011001010001011…
…100111100011100100100010
31000201020022102202010011121200
4300003022023213203210202
5210144310131231101010
62025240332225302030
762340414644305206
oct6003121347434442
91021208382104550
10211323323300130
11613747998a7108
121b84ba61494916
1390bb91c569032
143a28163b06b06
1519670107c9cc0
hexc0328b9e3922

211323323300130 has 96 divisors (see below), whose sum is σ = 553466070943344. Its totient is φ = 55940043737088.

The previous prime is 211323323300081. The next prime is 211323323300183. The reversal of 211323323300130 is 31003323323112.

211323323300130 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 3 + 323 + 300 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71154606631761 + 140168716668369 = 8435319^2 + 11839287^2 .

It is a super-2 number, since 2×2113233233001302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211323323300094 and 211323323300103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501534102 + ... + 501955278.

Almost surely, 2211323323300130 is an apocalyptic number.

211323323300130 is an abundant number, since it is smaller than the sum of its proper divisors (342142747643214).

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

211323323300130 is a wasteful number, since it uses less digits than its factorization.

211323323300130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462020 (or 462017 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 211323323300130 its reverse (31003323323112), we get a palindrome (242326646623242).

The spelling of 211323323300130 in words is "two hundred eleven trillion, three hundred twenty-three billion, three hundred twenty-three million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 40693 81386 122079 203465 244158 366237 406930 421177 610395 732474 842354 1220790 1263531 1831185 2105885 2527062 3662370 3790593 4211770 5574941 6317655 7581186 11149882 12635310 16724823 18952965 27874705 33449646 37905930 50174469 55749410 57701249 83624115 100348938 115402498 167248230 173103747 250872345 288506245 346207494 501744690 519311241 577012490 865518735 1038622482 1731037470 2596556205 5193112410 17138955661 34277911322 51416866983 85694778305 102833733966 154250600949 171389556610 257084334915 308501201898 514168669830 771253004745 1542506009490 2348036925557 4696073851114 7044110776671 11740184627785 14088221553342 21132332330013 23480369255570 35220553883355 42264664660026 70441107766710 105661661650065 211323323300130