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4122505100 = 2252717346429
BaseRepresentation
bin1111010110111000…
…0110111110001100
3101122022012221212002
43311232012332030
531420330130400
61521023331432
7204105500210
oct36556067614
911568187762
104122505100
11182605710a
12970750b78
1350911493c
142b1722940
15191dc2ed5
hexf5b86f8c

4122505100 has 72 divisors (see below), whose sum is σ = 10825244640. Its totient is φ = 1330283520.

The previous prime is 4122505097. The next prime is 4122505103. The reversal of 4122505100 is 15052214.

It is an interprime number because it is at equal distance from previous prime (4122505097) and next prime (4122505103).

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 (4122505103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161315 + ... + 185114.

It is an arithmetic number, because the mean of its divisors is an integer number (150350620).

Almost surely, 24122505100 is an apocalyptic number.

It is an amenable number.

4122505100 is an abundant number, since it is smaller than the sum of its proper divisors (6702739540).

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

4122505100 is a wasteful number, since it uses less digits than its factorization.

4122505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346467 (or 346460 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 4122505100 is about 64206.7371854387. The cubic root of 4122505100 is about 1603.4437673694.

Adding to 4122505100 its reverse (15052214), we get a palindrome (4137557314).

The spelling of 4122505100 in words is "four billion, one hundred twenty-two million, five hundred five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 346429 692858 1385716 1732145 2425003 3464290 4850006 5889293 6928580 8660725 9700012 11778586 12125015 17321450 23557172 24250030 29446465 34642900 41225051 48500060 58892930 60625075 82450102 117785860 121250150 147232325 164900204 206125255 242500300 294464650 412250510 588929300 824501020 1030626275 2061252550 4122505100