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2110102240 = 255611491451
BaseRepresentation
bin111110111000101…
…1001101011100000
312110001112022002211
41331301121223200
513310141232430
6545214451504
7103201400401
oct17561315340
95401468084
102110102240
11993109054
124aa803b94
1327821710c
141603599a8
15c53b072a
hex7dc59ae0

2110102240 has 96 divisors (see below), whose sum is σ = 5104360800. Its totient is φ = 824064000.

The previous prime is 2110102219. The next prime is 2110102259. The reversal of 2110102240 is 422010112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2110102240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1453515 + ... + 1454965.

It is an arithmetic number, because the mean of its divisors is an integer number (53170425).

Almost surely, 22110102240 is an apocalyptic number.

2110102240 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 2110102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552180400).

2110102240 is an abundant number, since it is smaller than the sum of its proper divisors (2994258560).

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

2110102240 is a wasteful number, since it uses less digits than its factorization.

2110102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2110102240 is about 45935.8491812223. The cubic root of 2110102240 is about 1282.6293283065.

Adding to 2110102240 its reverse (422010112), we get a palindrome (2532112352).

The spelling of 2110102240 in words is "two billion, one hundred ten million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 149 160 244 298 305 488 596 610 745 976 1192 1220 1451 1490 1952 2384 2440 2902 2980 4768 4880 5804 5960 7255 9089 9760 11608 11920 14510 18178 23216 23840 29020 36356 45445 46432 58040 72712 88511 90890 116080 145424 177022 181780 216199 232160 290848 354044 363560 432398 442555 708088 727120 864796 885110 1080995 1416176 1454240 1729592 1770220 2161990 2832352 3459184 3540440 4323980 6918368 7080880 8647960 13188139 14161760 17295920 26376278 34591840 52752556 65940695 105505112 131881390 211010224 263762780 422020448 527525560 1055051120 2110102240