Search a number
-
+
20132123000 = 2353117923167
BaseRepresentation
bin10010101111111101…
…111101000101111000
31220222001010210221012
4102233331331011320
5312212310414000
613125405133052
71311615136103
oct225775750570
956861123835
1020132123000
1185a1070a90
123a9a25a188
131b8ab87822
14d8da7973a
157cc668735
hex4aff7d178

20132123000 has 128 divisors (see below), whose sum is σ = 52044595200. Its totient is φ = 7227792000.

The previous prime is 20132122937. The next prime is 20132123023. The reversal of 20132123000 is 32123102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857417 + ... + 880583.

It is an arithmetic number, because the mean of its divisors is an integer number (406598400).

Almost surely, 220132123000 is an apocalyptic number.

20132123000 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 20132123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26022297600).

20132123000 is an abundant number, since it is smaller than the sum of its proper divisors (31912472200).

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

20132123000 is a wasteful number, since it uses less digits than its factorization.

20132123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23278 (or 23264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20132123000 its reverse (32123102), we get a palindrome (20164246102).

The spelling of 20132123000 in words is "twenty billion, one hundred thirty-two million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 125 158 200 220 250 275 316 395 440 500 550 632 790 869 1000 1100 1375 1580 1738 1975 2200 2750 3160 3476 3950 4345 5500 6952 7900 8690 9875 11000 15800 17380 19750 21725 23167 34760 39500 43450 46334 79000 86900 92668 108625 115835 173800 185336 217250 231670 254837 434500 463340 509674 579175 869000 926680 1019348 1158350 1274185 1830193 2038696 2316700 2548370 2895875 3660386 4633400 5096740 5791750 6370925 7320772 9150965 10193480 11583500 12741850 14641544 18301930 20132123 23167000 25483700 31854625 36603860 40264246 45754825 50967400 63709250 73207720 80528492 91509650 100660615 127418500 161056984 183019300 201321230 228774125 254837000 366038600 402642460 457548250 503303075 805284920 915096500 1006606150 1830193000 2013212300 2516515375 4026424600 5033030750 10066061500 20132123000