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12223102332100 = 225211109710129363
BaseRepresentation
bin1011000111011110100110…
…1011000010110011000100
31121021111222000110212010111
42301313221223002303010
53100230403144111400
641555114331202404
72401042604363302
oct261675153026304
947244860425114
1012223102332100
11399287467a050
121454b042a6404
136a883104a04a
1430385bdc9272
15162e3e66a3ba
hexb1de9ac2cc4

12223102332100 has 72 divisors (see below), whose sum is σ = 28961796513888. Its totient is φ = 4440712300800.

The previous prime is 12223102332079. The next prime is 12223102332101. The reversal of 12223102332100 is 123320132221.

12223102332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12223102332101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3857982 + ... + 6271381.

It is an arithmetic number, because the mean of its divisors is an integer number (402247173804).

Almost surely, 212223102332100 is an apocalyptic number.

12223102332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223102332100 is an abundant number, since it is smaller than the sum of its proper divisors (16738694181788).

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

12223102332100 is a wasteful number, since it uses less digits than its factorization.

12223102332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130485 (or 10130478 counting only the distinct ones).

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

Adding to 12223102332100 its reverse (123320132221), we get a palindrome (12346422464321).

The spelling of 12223102332100 in words is "twelve trillion, two hundred twenty-three billion, one hundred two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1097 1100 2194 4388 5485 10970 12067 21940 24134 27425 48268 54850 60335 109700 120670 241340 301675 603350 1206700 10129363 20258726 40517452 50646815 101293630 111422993 202587260 222845986 253234075 445691972 506468150 557114965 1012936300 1114229930 2228459860 2785574825 5571149650 11111911211 11142299300 22223822422 44447644844 55559556055 111119112110 122231023321 222238224220 244462046642 277797780275 488924093284 555595560550 611155116605 1111191121100 1222310233210 2444620466420 3055775583025 6111551166050 12223102332100