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2100148120 = 235737202717
BaseRepresentation
bin111110100101101…
…1011011110011000
312102100210120121201
41331023123132120
513300114214440
6544221243544
7103020651550
oct17513333630
95370716551
102100148120
1198852a404
124a74035b4
132761403c5
1415ccc8160
15c459619a
hex7d2db798

2100148120 has 64 divisors (see below), whose sum is σ = 5546364480. Its totient is φ = 700586496.

The previous prime is 2100148117. The next prime is 2100148139. The reversal of 2100148120 is 218410012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90999 + ... + 111718.

It is an arithmetic number, because the mean of its divisors is an integer number (86661945).

Almost surely, 22100148120 is an apocalyptic number.

2100148120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100148120 is an abundant number, since it is smaller than the sum of its proper divisors (3446216360).

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

2100148120 is a wasteful number, since it uses less digits than its factorization.

2100148120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202772 (or 202768 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 2100148120 is about 45827.3730427569. The cubic root of 2100148120 is about 1280.6092721187.

Adding to 2100148120 its reverse (218410012), we get a palindrome (2318558132).

The spelling of 2100148120 in words is "two billion, one hundred million, one hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 202717 405434 810868 1013585 1419019 1621736 2027170 2838038 4054340 5676076 7095095 7500529 8108680 11352152 14190190 15001058 28380380 30002116 37502645 52503703 56760760 60004232 75005290 105007406 150010580 210014812 262518515 300021160 420029624 525037030 1050074060 2100148120