Search a number
-
+
123201312331000 = 2353235356578797
BaseRepresentation
bin11100000000110100001010…
…011101010001010011111000
3121011012221010021201022120211
4130000310022131101103320
5112122012241424043000
61114005522422200504
734644000241054201
oct3400641235212370
9534187107638524
10123201312331000
113628a423a60862
12119992a6283134
135398aac110557
14225cd924585a8
15e39b376477ba
hex700d0a7514f8

123201312331000 has 64 divisors (see below), whose sum is σ = 300825465295680. Its totient is φ = 47137893404800.

The previous prime is 123201312330959. The next prime is 123201312331001. The reversal of 123201312331000 is 133213102321.

It is a super-2 number, since 2×1232013123310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201312331001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678266399 + ... + 2678312398.

It is an arithmetic number, because the mean of its divisors is an integer number (4700397895245).

Almost surely, 2123201312331000 is an apocalyptic number.

123201312331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123201312331000 is an abundant number, since it is smaller than the sum of its proper divisors (177624152964680).

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

123201312331000 is a wasteful number, since it uses less digits than its factorization.

123201312331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356578841 (or 5356578827 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123201312331000 its reverse (133213102321), we get a palindrome (123334525433321).

The spelling of 123201312331000 in words is "one hundred twenty-three trillion, two hundred one billion, three hundred twelve million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 5356578797 10713157594 21426315188 26782893985 42852630376 53565787970 107131575940 123201312331 133914469925 214263151880 246402624662 267828939850 492805249324 535657879700 616006561655 669572349625 985610498648 1071315759400 1232013123310 1339144699250 2464026246620 2678289398500 3080032808275 4928052493240 5356578797000 6160065616550 12320131233100 15400164041375 24640262466200 30800328082750 61600656165500 123201312331000