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212111101021110 = 23537893671584879
BaseRepresentation
bin110000001110100111110110…
…110101000100101110110110
31000211000121211022212210202120
4300032213312311010232312
5210300212013330133420
62031042254500020410
762451343550405544
oct6016476665045666
91024017738783676
10212111101021110
11616488a388a765
121b958676691706
139147cb62c6035
143a54336b0cd94
15197c76aa90d40
hexc0e9f6d44bb6

212111101021110 has 128 divisors (see below), whose sum is σ = 528844565606400. Its totient is φ = 54400953277440.

The previous prime is 212111101021103. The next prime is 212111101021151. The reversal of 212111101021110 is 11120101111212.

It is a super-2 number, since 2×2121111010211102 (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 212111101021110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362365651 + ... + 362950529.

It is an arithmetic number, because the mean of its divisors is an integer number (4131598168800).

Almost surely, 2212111101021110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111101021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264422282803200).

212111101021110 is an abundant number, since it is smaller than the sum of its proper divisors (316733464585290).

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

212111101021110 is a wasteful number, since it uses less digits than its factorization.

212111101021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588686.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 212111101021110 its reverse (11120101111212), we get a palindrome (223231202132322).

It can be divided in two parts, 21211110102 and 1110, that added together give a palindrome (21211111212).

The spelling of 212111101021110 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred one million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 89 111 178 185 222 267 370 445 534 555 890 1110 1335 2670 3293 3671 6586 7342 9879 11013 16465 18355 19758 22026 32930 36710 49395 55065 98790 110130 135827 271654 326719 407481 584879 653438 679135 814962 980157 1169758 1358270 1633595 1754637 1960314 2037405 2924395 3267190 3509274 4074810 4900785 5848790 8773185 9801570 12088603 17546370 21640523 24177206 36265809 43281046 52054231 60443015 64921569 72531618 104108462 108202615 120886030 129843138 156162693 181329045 216405230 260271155 312325386 324607845 362658090 520542310 649215690 780813465 1561626930 1926006547 2147090809 3852013094 4294181618 5778019641 6441272427 9630032735 10735454045 11556039282 12882544854 19260065470 21470908090 28890098205 32206362135 57780196410 64412724270 79442359933 158884719866 191091082001 238327079799 382182164002 397211799665 476654159598 573273246003 794423599330 955455410005 1146546492006 1191635398995 1910910820010 2383270797990 2866366230015 5732732460030 7070370034037 14140740068074 21211110102111 35351850170185 42422220204222 70703700340370 106055550510555 212111101021110