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211020211120110 = 23578312106724677
BaseRepresentation
bin101111111110101111111000…
…101110010110011111101110
31000200011100001100002000110220
4233332233320232112133232
5210124323343021320420
62024445202515312210
762306464356265440
oct5776577056263756
91020140040060426
10211020211120110
1161268194989a07
121b8011698ab666
139099174a394b2
143a1760b51a490
15195e1becb8840
hexbfebf8b967ee

211020211120110 has 64 divisors (see below), whose sum is σ = 585771766820352. Its totient is φ = 47652068324736.

The previous prime is 211020211120093. The next prime is 211020211120129. The reversal of 211020211120110 is 11021112020112.

It is a happy number.

It is a super-2 number, since 2×2110202111201102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211020211120110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6053344909 + ... + 6053379768.

It is an arithmetic number, because the mean of its divisors is an integer number (9152683856568).

Almost surely, 2211020211120110 is an apocalyptic number.

211020211120110 is an abundant number, since it is smaller than the sum of its proper divisors (374751555700242).

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

211020211120110 is a wasteful number, since it uses less digits than its factorization.

211020211120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106724777.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211020211120110 its reverse (11021112020112), we get a palindrome (222041323140222).

The spelling of 211020211120110 in words is "two hundred eleven trillion, twenty billion, two hundred eleven million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 8715 17430 12106724677 24213449354 36320174031 60533623385 72640348062 84747072739 121067246770 169494145478 181600870155 254241218217 363201740310 423735363695 508482436434 847470727390 1004858148191 1271206091085 2009716296382 2542412182170 3014574444573 5024290740955 6029148889146 7034007037337 10048581481910 14068014074674 15072872222865 21102021112011 30145744445730 35170035186685 42204042224022 70340070373370 105510105560055 211020211120110