Search a number
-
+
123020330100 = 223528937912157
BaseRepresentation
bin111001010010010010…
…1010100010001110100
3102202112111110021111020
41302210211110101310
54003421201030400
6132303104341140
711613362360343
oct1624445242164
9382474407436
10123020330100
11481998508a8
121ba133147b0
13b7a6b69345
145d50521b5a
1533002132a0
hex1ca4954474

123020330100 has 144 divisors (see below), whose sum is σ = 360917524800. Its totient is φ = 32348574720.

The previous prime is 123020330093. The next prime is 123020330101. The reversal of 123020330100 is 1033020321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123020330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020330101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10113222 + ... + 10125378.

It is an arithmetic number, because the mean of its divisors is an integer number (2506371700).

Almost surely, 2123020330100 is an apocalyptic number.

123020330100 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 123020330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180458762400).

123020330100 is an abundant number, since it is smaller than the sum of its proper divisors (237897194700).

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

123020330100 is a wasteful number, since it uses less digits than its factorization.

123020330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 123020330100 its reverse (1033020321), we get a palindrome (124053350421).

The spelling of 123020330100 in words is "one hundred twenty-three billion, twenty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 379 445 534 758 890 1068 1137 1335 1516 1780 1895 2225 2274 2670 3790 4450 4548 5340 5685 6675 7580 8900 9475 11370 12157 13350 18950 22740 24314 26700 28425 33731 36471 37900 48628 56850 60785 67462 72942 101193 113700 121570 134924 145884 168655 182355 202386 243140 303925 337310 364710 404772 505965 607850 674620 729420 843275 911775 1011930 1081973 1215700 1686550 1823550 2023860 2163946 2529825 3245919 3373100 3647100 4327892 4607503 5059650 5409865 6491838 9215006 10119300 10819730 12983676 13822509 16229595 18430012 21639460 23037515 27049325 27645018 32459190 46075030 54098650 55290036 64918380 69112545 81147975 92150060 108197300 115187575 138225090 162295950 230375150 276450180 324591900 345562725 410067767 460750300 691125450 820135534 1230203301 1382250900 1640271068 2050338835 2460406602 4100677670 4920813204 6151016505 8201355340 10251694175 12302033010 20503388350 24604066020 30755082525 41006776700 61510165050 123020330100