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134123120250 = 23537227112543
BaseRepresentation
bin111110011101001011…
…1000110011001111010
3110211012021022110022020
41330322113012121322
54144141004322000
6141340523535310
712455460466050
oct1747227063172
9424167273266
10134123120250
1151977006429
1221bb168a536
13c856173462
1466c4d0c1d0
15374ed08ba0
hex1f3a5c667a

134123120250 has 128 divisors (see below), whose sum is σ = 384284639232. Its totient is φ = 30521390400.

The previous prime is 134123120227. The next prime is 134123120251. The reversal of 134123120250 is 52021321431.

134123120250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1341231202502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134123120250.

It is not an unprimeable number, because it can be changed into a prime (134123120251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1135479 + ... + 1248021.

It is an arithmetic number, because the mean of its divisors is an integer number (3002223744).

Almost surely, 2134123120250 is an apocalyptic number.

134123120250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134123120250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192142319616).

134123120250 is an abundant number, since it is smaller than the sum of its proper divisors (250161518982).

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

134123120250 is a wasteful number, since it uses less digits than its factorization.

134123120250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112797 (or 112787 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 134123120250 its reverse (52021321431), we get a palindrome (186144441681).

The spelling of 134123120250 in words is "one hundred thirty-four billion, one hundred twenty-three million, one hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 227 250 350 375 454 525 681 750 875 1050 1135 1362 1589 1750 2270 2625 3178 3405 4767 5250 5675 6810 7945 9534 11350 15890 17025 23835 28375 34050 39725 47670 56750 79450 85125 112543 119175 170250 198625 225086 238350 337629 397250 562715 595875 675258 787801 1125430 1191750 1575602 1688145 2363403 2813575 3376290 3939005 4726806 5627150 7878010 8440725 11817015 14067875 16881450 19695025 23634030 25547261 28135750 39390050 42203625 51094522 59085075 76641783 84407250 98475125 118170150 127736305 153283566 178830827 196950250 255472610 295425375 357661654 383208915 536492481 590850750 638681525 766417830 894154135 1072984962 1277363050 1788308270 1916044575 2682462405 3193407625 3832089150 4470770675 5364924810 6386815250 8941541350 9580222875 13412312025 19160445750 22353853375 26824624050 44707706750 67061560125 134123120250