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211011020110112 = 25594911361167249
BaseRepresentation
bin101111111110100111010100…
…111001011011100100100000
31000200010110022210120100000012
4233332213110321123210200
5210124201032122010422
62024441042512144052
762306020534062065
oct5776472471334440
91020113283510005
10211011020110112
11612642a8896082
121b7bb423838028
13909833b82bb41
143a16db89c2c6c
15195dd32e5b4e2
hexbfe9d4e5b920

211011020110112 has 96 divisors (see below), whose sum is σ = 423643099320000. Its totient is φ = 103429374361600.

The previous prime is 211011020110103. The next prime is 211011020110157.

211011020110112 is nontrivially palindromic in base 10.

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, 1261574264 + ... + 1261741512.

It is an arithmetic number, because the mean of its divisors is an integer number (4412948951250).

Almost surely, 2211011020110112 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 211011020110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211821549660000).

211011020110112 is an abundant number, since it is smaller than the sum of its proper divisors (212632079209888).

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

211011020110112 is a wasteful number, since it uses less digits than its factorization.

211011020110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169170 (or 169162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 211011020110112 in words is "two hundred eleven trillion, eleven billion, twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 118 236 472 491 944 982 1361 1888 1964 2722 3928 5444 7856 10888 15712 21776 28969 43552 57938 80299 115876 160598 167249 231752 321196 334498 463504 642392 668251 668996 927008 1284784 1336502 1337992 2569568 2673004 2675984 5346008 5351968 9867691 10692016 19735382 21384032 39426809 39470764 78853618 78941528 82119259 157707236 157883056 164238518 227625889 315414472 315766112 328477036 455251778 630828944 656954072 910503556 1261657888 1313908144 1821007112 2627816288 3642014224 4845036281 7284028448 9690072562 13429927451 19380145124 26859854902 38760290248 53719709804 77520580496 107439419608 111764311499 155041160992 214878839216 223528622998 429757678432 447057245996 894114491992 1788228983984 3576457967968 6594094378441 13188188756882 26376377513764 52752755027528 105505510055056 211011020110112