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22034001304100 = 22522330707311981
BaseRepresentation
bin1010000001010001100001…
…10100100001101000100100
32220000102121102202120100002
411000220300310201220210
510342001113313212400
6114510140325040432
74432622043603302
oct500506064415044
986012542676302
1022034001304100
117025627346945
12257a406556118
13c3aa49b9a356
14562646729272
1528324cdbded5
hex140a30d21a24

22034001304100 has 72 divisors (see below), whose sum is σ = 49894427677248. Its totient is φ = 8430098934400.

The previous prime is 22034001304069. The next prime is 22034001304103. The reversal of 22034001304100 is 140310043022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22034001304103) 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, 70470110 + ... + 70782090.

It is an arithmetic number, because the mean of its divisors is an integer number (692978162184).

Almost surely, 222034001304100 is an apocalyptic number.

22034001304100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22034001304100 is an abundant number, since it is smaller than the sum of its proper divisors (27860426373148).

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

22034001304100 is a wasteful number, since it uses less digits than its factorization.

22034001304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342725 (or 342718 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22034001304100 its reverse (140310043022), we get a palindrome (22174311347122).

The spelling of 22034001304100 in words is "twenty-two trillion, thirty-four billion, one million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 30707 61414 122828 153535 307070 311981 614140 623962 706261 767675 1247924 1412522 1535350 1559905 2825044 3070700 3119810 3531305 6239620 7062610 7175563 7799525 14125220 14351126 15599050 17656525 28702252 31198100 35313050 35877815 70626100 71755630 143511260 179389075 358778150 717556300 9580000567 19160001134 38320002268 47900002835 95800005670 191600011340 220340013041 239500014175 440680026082 479000028350 881360052164 958000056700 1101700065205 2203400130410 4406800260820 5508500326025 11017000652050 22034001304100