Search a number
-
+
30123523350 = 2345214535119
BaseRepresentation
bin11100000011100000…
…000111110100010110
32212202100201112120000
4130003200013310112
5443143110221400
621501043352130
72114326503144
oct340340076426
985670645500
1030123523350
1111858a41a48
125a08382646
132ac0b5393b
14165aa00594
15bb48c8600
hex703807d16

30123523350 has 120 divisors (see below), whose sum is σ = 83772733440. Its totient is φ = 8025842880.

The previous prime is 30123523333. The next prime is 30123523369. The reversal of 30123523350 is 5332532103.

30123523350 is a `hidden beast` number, since 301 + 2 + 3 + 5 + 2 + 3 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5882091 + ... + 5887209.

It is an arithmetic number, because the mean of its divisors is an integer number (698106112).

Almost surely, 230123523350 is an apocalyptic number.

30123523350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30123523350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41886366720).

30123523350 is an abundant number, since it is smaller than the sum of its proper divisors (53649210090).

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

30123523350 is a wasteful number, since it uses less digits than its factorization.

30123523350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 30123523350 in words is "thirty billion, one hundred twenty-three million, five hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 1453 2025 2906 4050 4359 5119 7265 8718 10238 13077 14530 15357 21795 25595 26154 30714 36325 39231 43590 46071 51190 65385 72650 76785 78462 92142 108975 117693 127975 130770 138213 153570 196155 217950 230355 235386 255950 276426 326925 383925 392310 414639 460710 588465 653850 691065 767850 829278 980775 1151775 1176930 1382130 1961550 2073195 2303550 2942325 3455325 4146390 5884650 6910650 7437907 10365975 14875814 20731950 22313721 37189535 44627442 66941163 74379070 111568605 133882326 185947675 200823489 223137210 334705815 371895350 401646978 557843025 602470467 669411630 1004117445 1115686050 1204940934 1673529075 2008234890 3012352335 3347058150 5020587225 6024704670 10041174450 15061761675 30123523350