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2102542120 = 23571512232
BaseRepresentation
bin111110101010010…
…0011111100101000
312102112022012120101
41331110203330220
513301222321440
6544344435144
7103050212260
oct17524437450
95375265511
102102542120
11989915018
124a8178ab4
1327679ac83
1415d34c7a0
15c48ba69a
hex7d523f28

2102542120 has 96 divisors (see below), whose sum is σ = 5466856320. Its totient is φ = 712886400.

The previous prime is 2102542097. The next prime is 2102542153. The reversal of 2102542120 is 212452012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9428329 + ... + 9428551.

It is an arithmetic number, because the mean of its divisors is an integer number (56946420).

Almost surely, 22102542120 is an apocalyptic number.

2102542120 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 2102542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733428160).

2102542120 is an abundant number, since it is smaller than the sum of its proper divisors (3364314200).

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

2102542120 is a wasteful number, since it uses less digits than its factorization.

2102542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2102542120 is about 45853.4853637104. The cubic root of 2102542120 is about 1281.0956845439.

Adding to 2102542120 its reverse (212452012), we get a palindrome (2314994132).

The spelling of 2102542120 in words is "two billion, one hundred two million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 223 280 302 446 604 755 892 1057 1115 1208 1510 1561 1784 2114 2230 3020 3122 4228 4460 5285 6040 6244 7805 8456 8920 10570 12488 15610 21140 31220 33673 42280 49729 62440 67346 99458 134692 168365 198916 235711 248645 269384 336730 348103 397832 471422 497290 673460 696206 942844 994580 1178555 1346920 1392412 1740515 1885688 1989160 2357110 2784824 3481030 4714220 6962060 7509079 9428440 13924120 15018158 30036316 37545395 52563553 60072632 75090790 105127106 150181580 210254212 262817765 300363160 420508424 525635530 1051271060 2102542120