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11222010002100 = 22352373769130411
BaseRepresentation
bin1010001101001101001111…
…1010110111101010110100
31110201210222011122022120210
42203103103322313222310
52432330134030031400
635511153100225420
72235522604104552
oct243232372675264
943653864568523
1011222010002100
1136372560a8497
121312a9853b270
136353006879c1
142ab21087cbd2
15146d9c085950
hexa34d3eb7ab4

11222010002100 has 144 divisors (see below), whose sum is σ = 32598649455680. Its totient is φ = 2980609228800.

The previous prime is 11222010002081. The next prime is 11222010002111. The reversal of 11222010002100 is 120001022211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85985895 + ... + 86116305.

Almost surely, 211222010002100 is an apocalyptic number.

11222010002100 is a gapful number since it is divisible by the number (10) 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 11222010002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299324727840).

11222010002100 is an abundant number, since it is smaller than the sum of its proper divisors (21376639453580).

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

11222010002100 is a wasteful number, since it uses less digits than its factorization.

11222010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131570 (or 131563 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11222010002100 its reverse (120001022211), we get a palindrome (11342011024311).

The spelling of 11222010002100 in words is "eleven trillion, two hundred twenty-two billion, ten million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 373 746 769 1119 1492 1538 1865 2238 2307 3076 3730 3845 4476 4614 5595 7460 7690 9228 9325 11190 11535 15380 18650 19225 22380 23070 27975 37300 38450 46140 55950 57675 76900 111900 115350 130411 230700 260822 286837 391233 521644 573674 652055 782466 860511 1147348 1304110 1434185 1564932 1721022 1956165 2608220 2868370 3260275 3442044 3912330 4302555 5736740 6520550 7170925 7824660 8605110 9780825 13041100 14341850 17210220 19561650 21512775 28683700 39123300 43025550 48643303 86051100 97286606 100286059 145929909 194573212 200572118 243216515 291859818 300858177 401144236 486433030 501430295 583719636 601716354 729649545 972866060 1002860590 1203432708 1216082575 1459299090 1504290885 2005721180 2432165150 2507151475 2918598180 3008581770 3648247725 4864330300 5014302950 6017163540 7296495450 7521454425 10028605900 14592990900 15042908850 30085817700 37406700007 74813400014 112220100021 149626800028 187033500035 224440200042 374067000070 448880400084 561100500105 748134000140 935167500175 1122201000210 1870335000350 2244402000420 2805502500525 3740670000700 5611005001050 11222010002100