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311430402200 = 235219547149827
BaseRepresentation
bin1001000100000101011…
…00101101000010011000
31002202212010020121210202
410202002230231002120
520100302140332300
6355022534201332
731333351512161
oct4420254550230
91082763217722
10311430402200
11110093385695
12504354b3248
13234a1c808c8
141110524c768
15817ae19ad5
hex4882b2d098

311430402200 has 96 divisors (see below), whose sum is σ = 763583419200. Its totient is φ = 117799194240.

The previous prime is 311430402197. The next prime is 311430402271. The reversal of 311430402200 is 2204034113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003687 + ... + 2153513.

It is an arithmetic number, because the mean of its divisors is an integer number (7953993950).

Almost surely, 2311430402200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311430402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381791709600).

311430402200 is an abundant number, since it is smaller than the sum of its proper divisors (452153017000).

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

311430402200 is a wasteful number, since it uses less digits than its factorization.

311430402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150409 (or 150400 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 311430402200 its reverse (2204034113), we get a palindrome (313634436313).

The spelling of 311430402200 in words is "three hundred eleven billion, four hundred thirty million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 547 760 950 1094 1900 2188 2735 3800 4376 5470 10393 10940 13675 20786 21880 27350 41572 51965 54700 83144 103930 109400 149827 207860 259825 299654 415720 519650 599308 749135 1039300 1198616 1498270 2078600 2846713 2996540 3745675 5693426 5993080 7491350 11386852 14233565 14982700 22773704 28467130 29965400 56934260 71167825 81955369 113868520 142335650 163910738 284671300 327821476 409776845 569342600 655642952 819553690 1557152011 1639107380 2048884225 3114304022 3278214760 4097768450 6228608044 7785760055 8195536900 12457216088 15571520110 16391073800 31143040220 38928800275 62286080440 77857600550 155715201100 311430402200