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211010002210120 = 23573915887449321
BaseRepresentation
bin101111111110100110011000…
…001110011100110101001000
31000200010100200212012122201111
4233332212120032130311020
5210124141441031210440
62024440353511100104
762305653364056451
oct5776463016346510
91020110625178644
10211010002210120
1161263926256813
121b7bb19a971634
139098208995359
143a16d1d736128
15195dcc38e14ea
hexbfe99839cd48

211010002210120 has 64 divisors (see below), whose sum is σ = 475445940537600. Its totient is φ = 84284293916160.

The previous prime is 211010002210099. The next prime is 211010002210151. The reversal of 211010002210120 is 21012200010112.

It is a self number, because there is not a number n which added to its sum of digits gives 211010002210120.

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, 469395060 + ... + 469844380.

It is an arithmetic number, because the mean of its divisors is an integer number (7428842820900).

Almost surely, 2211010002210120 is an apocalyptic number.

211010002210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010002210120 is an abundant number, since it is smaller than the sum of its proper divisors (264435938327480).

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

211010002210120 is a wasteful number, since it uses less digits than its factorization.

211010002210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465958 (or 465954 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211010002210120 its reverse (21012200010112), we get a palindrome (232022202220232).

The spelling of 211010002210120 in words is "two hundred eleven trillion, ten billion, two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 739 1478 2956 3695 5912 7390 14780 15887 29560 31774 63548 79435 127096 158870 317740 449321 635480 898642 1797284 2246605 3594568 4493210 8986420 11740493 17972840 23480986 46961972 58702465 93923944 117404930 234809860 332048219 469619720 664096438 1328192876 1660241095 2656385752 3320482190 6640964380 7138362727 13281928760 14276725454 28553450908 35691813635 57106901816 71383627270 142767254540 285534509080 5275250055253 10550500110506 21101000221012 26376250276265 42202000442024 52752500552530 105505001105060 211010002210120