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10114423000 = 2353114012293
BaseRepresentation
bin10010110101101110…
…11101100011011000
3222002220001220222021
421122313131203120
5131203243014000
64351351104224
7505434114463
oct113267354330
928086056867
1010114423000
114320367780
121b63372074
13c52610aa6
146bd42a2da
153e2e6111a
hex25addd8d8

10114423000 has 128 divisors (see below), whose sum is σ = 25895039040. Its totient is φ = 3667200000.

The previous prime is 10114422973. The next prime is 10114423031. The reversal of 10114423000 is 32441101.

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 31 ways as a sum of consecutive naturals, for example, 4409854 + ... + 4412146.

Almost surely, 210114423000 is an apocalyptic number.

10114423000 is a gapful number since it is divisible by the number (10) 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 10114423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947519520).

10114423000 is an abundant number, since it is smaller than the sum of its proper divisors (15780616040).

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

10114423000 is a wasteful number, since it uses less digits than its factorization.

10114423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10114423000 its reverse (32441101), we get a palindrome (10146864101).

The spelling of 10114423000 in words is "ten billion, one hundred fourteen million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 401 440 500 550 802 1000 1100 1375 1604 2005 2200 2293 2750 3208 4010 4411 4586 5500 8020 8822 9172 10025 11000 11465 16040 17644 18344 20050 22055 22930 25223 35288 40100 44110 45860 50125 50446 57325 80200 88220 91720 100250 100892 110275 114650 126115 176440 200500 201784 220550 229300 252230 286625 401000 441100 458600 504460 551375 573250 630575 882200 919493 1008920 1102750 1146500 1261150 1838986 2205500 2293000 2522300 3152875 3677972 4411000 4597465 5044600 6305750 7355944 9194930 10114423 12611500 18389860 20228846 22987325 25223000 36779720 40457692 45974650 50572115 80915384 91949300 101144230 114936625 183898600 202288460 229873250 252860575 404576920 459746500 505721150 919493000 1011442300 1264302875 2022884600 2528605750 5057211500 10114423000