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2233322011120 = 2453110117949811
BaseRepresentation
bin100000011111111100010…
…111010111100111110000
321220111121001101002101111
4200133330113113213300
5243042320413323440
64425550213243104
7320231541606364
oct40377427274760
97814531332344
102233322011120
11791168064152
123009bb033494
131327a8266595
147a1442852a4
153d161a2a4ea
hex207fc5d79f0

2233322011120 has 160 divisors (see below), whose sum is σ = 5443391600640. Its totient is φ = 851153280000.

The previous prime is 2233322011049. The next prime is 2233322011133. The reversal of 2233322011120 is 211102233322.

It is a junction number, because it is equal to n+sod(n) for n = 2233322011091 and 2233322011100.

It is a congruent number.

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, 44811015 + ... + 44860825.

It is an arithmetic number, because the mean of its divisors is an integer number (34021197504).

Almost surely, 22233322011120 is an apocalyptic number.

2233322011120 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 2233322011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721695800320).

2233322011120 is an abundant number, since it is smaller than the sum of its proper divisors (3210069589520).

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

2233322011120 is a wasteful number, since it uses less digits than its factorization.

2233322011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50135 (or 50129 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2233322011120 its reverse (211102233322), we get a palindrome (2444424244442).

The spelling of 2233322011120 in words is "two trillion, two hundred thirty-three billion, three hundred twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 101 124 155 179 202 248 310 358 404 496 505 620 716 808 895 1010 1240 1432 1616 1790 2020 2480 2864 3131 3580 4040 5549 6262 7160 8080 11098 12524 14320 15655 18079 22196 25048 27745 31310 36158 44392 49811 50096 55490 62620 72316 88784 90395 99622 110980 125240 144632 180790 199244 221960 249055 250480 289264 361580 398488 443920 498110 560449 723160 796976 996220 1120898 1446320 1544141 1992440 2241796 2802245 3088282 3984880 4483592 5030911 5604490 6176564 7720705 8916169 8967184 10061822 11208980 12353128 15441410 17832338 20123644 22417960 24706256 25154555 30882820 35664676 40247288 44580845 44835920 50309110 61765640 71329352 80494576 89161690 100618220 123531280 142658704 155958241 178323380 201236440 276401239 311916482 356646760 402472880 552802478 623832964 713293520 779791205 900533069 1105604956 1247665928 1382006195 1559582410 1801066138 2211209912 2495331856 2764012390 3119164820 3602132276 4422419824 4502665345 5528024780 6238329640 7204264552 9005330690 11056049560 12476659280 14408529104 18010661380 22112099120 27916525139 36021322760 55833050278 72042645520 111666100556 139582625695 223332201112 279165251390 446664402224 558330502780 1116661005560 2233322011120