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20212111120 = 24523411132371
BaseRepresentation
bin10010110100101111…
…000101011100010000
31221011121122122000011
4102310233011130100
5312343300023440
613141343404304
71313606052445
oct226457053420
957147578004
1020212111120
118632234273
123b00bb3694
131ba1612686
14d9a53b9cc
157d46b89ea
hex4b4bc5710

20212111120 has 160 divisors (see below), whose sum is σ = 50698255104. Its totient is φ = 7474790400.

The previous prime is 20212111103. The next prime is 20212111147. The reversal of 20212111120 is 2111121202.

It is a self number, because there is not a number n which added to its sum of digits gives 20212111120.

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, 8523535 + ... + 8525905.

Almost surely, 220212111120 is an apocalyptic number.

20212111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25349127552).

20212111120 is an abundant number, since it is smaller than the sum of its proper divisors (30486143984).

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

20212111120 is a wasteful number, since it uses less digits than its factorization.

20212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2555 counting only the distinct ones).

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

Adding to 20212111120 its reverse (2111121202), we get a palindrome (22323232322).

The spelling of 20212111120 in words is "twenty billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 113 115 164 184 205 226 230 328 368 410 452 460 565 656 820 904 920 943 1130 1640 1808 1840 1886 2260 2371 2599 3280 3772 4520 4633 4715 4742 5198 7544 9040 9266 9430 9484 10396 11855 12995 15088 18532 18860 18968 20792 23165 23710 25990 37064 37720 37936 41584 46330 47420 51980 54533 74128 75440 92660 94840 97211 103960 106559 109066 185320 189680 194422 207920 213118 218132 267923 272665 370640 388844 426236 436264 486055 532795 535846 545330 777688 852472 872528 972110 1065590 1071692 1090660 1339615 1555376 1704944 1944220 2131180 2143384 2181320 2235853 2679230 3888440 4262360 4286768 4362640 4471706 5358460 6162229 7776880 8524720 8943412 10716920 10984843 11179265 12324458 17886824 21433840 21969686 22358530 24648916 30811145 35773648 43939372 44717060 49297832 54924215 61622290 87878744 89434120 98595664 109848430 123244580 175757488 178868240 219696860 246489160 252651389 439393720 492978320 505302778 878787440 1010605556 1263256945 2021211112 2526513890 4042422224 5053027780 10106055560 20212111120