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211021201120 = 2553142979901
BaseRepresentation
bin1100010010000111010…
…1111111111011100000
3202011200102121201012111
43010201311333323200
511424132411413440
6240535232405104
721150205420462
oct3044165777340
9664612551174
10211021201120
1181547a6a784
1234a926a6794
1316b8c75a862
14a2dbb10132
155750d004ea
hex3121d7fee0

211021201120 has 96 divisors (see below), whose sum is σ = 514791196416. Its totient is φ = 81658368000.

The previous prime is 211021201091. The next prime is 211021201283. The reversal of 211021201120 is 21102120112.

It is a self number, because there is not a number n which added to its sum of digits gives 211021201120.

It is a congruent number.

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, 21308170 + ... + 21318070.

It is an arithmetic number, because the mean of its divisors is an integer number (5362408296).

Almost surely, 2211021201120 is an apocalyptic number.

211021201120 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 211021201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257395598208).

211021201120 is an abundant number, since it is smaller than the sum of its proper divisors (303769995296).

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

211021201120 is a wasteful number, since it uses less digits than its factorization.

211021201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14244 (or 14236 counting only the distinct ones).

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

Adding to 211021201120 its reverse (21102120112), we get a palindrome (232123321232).

The spelling of 211021201120 in words is "two hundred eleven billion, twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4297 4960 8594 9901 17188 19802 21485 34376 39604 42970 49505 68752 79208 85940 99010 133207 137504 158416 171880 198020 266414 306931 316832 343760 396040 532828 613862 666035 687520 792080 1065656 1227724 1332070 1534655 1584160 2131312 2455448 2664140 3069310 4262624 4910896 5328280 6138620 9821792 10656560 12277240 21313120 24554480 42544597 49108960 85089194 170178388 212722985 340356776 425445970 680713552 850891940 1318882507 1361427104 1701783880 2637765014 3403567760 5275530028 6594412535 6807135520 10551060056 13188825070 21102120112 26377650140 42204240224 52755300280 105510600560 211021201120