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22011213300 = 22352103757941
BaseRepresentation
bin10100011111111110…
…000111010111110100
32002210222222111020020
4110133332013113310
5330034332311200
614040052405140
71406313140346
oct243776072764
962728874206
1022011213300
11937583537a
1243236167b0
1320ca279b8b
1410cb45d296
1588c5e5ea0
hex51ff875f4

22011213300 has 144 divisors (see below), whose sum is σ = 64457457792. Its totient is φ = 5798822400.

The previous prime is 22011213293. The next prime is 22011213313. The reversal of 22011213300 is 331211022.

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 22011213300.

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, 23390830 + ... + 23391770.

Almost surely, 222011213300 is an apocalyptic number.

22011213300 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 22011213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32228728896).

22011213300 is an abundant number, since it is smaller than the sum of its proper divisors (42446244492).

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

22011213300 is a wasteful number, since it uses less digits than its factorization.

22011213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22011213300 its reverse (331211022), we get a palindrome (22342424322).

The spelling of 22011213300 in words is "twenty-two billion, eleven million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 757 941 1030 1236 1514 1545 1882 2060 2271 2575 2823 3028 3090 3764 3785 4542 4705 5150 5646 6180 7570 7725 9084 9410 10300 11292 11355 14115 15140 15450 18820 18925 22710 23525 28230 30900 37850 45420 47050 56460 56775 70575 75700 77971 94100 96923 113550 141150 155942 193846 227100 233913 282300 290769 311884 387692 389855 467826 484615 581538 712337 779710 935652 969230 1163076 1169565 1424674 1453845 1559420 1938460 1949275 2137011 2339130 2423075 2849348 2907690 3561685 3898550 4274022 4678260 4846150 5815380 5847825 7123370 7269225 7797100 8548044 9692300 10685055 11695650 14246740 14538450 17808425 21370110 23391300 29076900 35616850 42740220 53425275 71233700 73370711 106850550 146741422 213701100 220112133 293482844 366853555 440224266 733707110 880448532 1100560665 1467414220 1834267775 2201121330 3668535550 4402242660 5502803325 7337071100 11005606650 22011213300