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214112303000 = 23533711235153
BaseRepresentation
bin1100011101101000010…
…1100111011110011000
3202110122212001221211022
43013122011213132120
512002000222144000
6242210053422012
721316621355351
oct3073205473630
9673585057738
10214112303000
11828938a4332
12355b593a908
1317262c8b71b
14a51246cd28
15588238c585
hex31da167798

214112303000 has 128 divisors (see below), whose sum is σ = 515122096320. Its totient is φ = 83239833600.

The previous prime is 214112302997. The next prime is 214112303017. The reversal of 214112303000 is 303211412.

It is a self number, because there is not a number n which added to its sum of digits gives 214112303000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41548424 + ... + 41553576.

Almost surely, 2214112303000 is an apocalyptic number.

214112303000 is a gapful number since it is divisible by the number (20) 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 214112303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257561048160).

214112303000 is an abundant number, since it is smaller than the sum of its proper divisors (301009793320).

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

214112303000 is a wasteful number, since it uses less digits than its factorization.

214112303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 214112303000 its reverse (303211412), we get a palindrome (214415514412).

The spelling of 214112303000 in words is "two hundred fourteen billion, one hundred twelve million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1123 1480 1850 2246 3700 4492 4625 5153 5615 7400 8984 9250 10306 11230 18500 20612 22460 25765 28075 37000 41224 41551 44920 51530 56150 83102 103060 112300 128825 140375 166204 190661 206120 207755 224600 257650 280750 332408 381322 415510 515300 561500 644125 762644 831020 953305 1030600 1038775 1123000 1288250 1525288 1662040 1906610 2077550 2576500 3813220 4155100 4766525 5153000 5193875 5786819 7626440 8310200 9533050 10387750 11573638 19066100 20775500 23147276 23832625 28934095 38132200 41551000 46294552 47665250 57868190 95330500 115736380 144670475 190661000 214112303 231472760 289340950 428224606 578681900 723352375 856449212 1070561515 1157363800 1446704750 1712898424 2141123030 2893409500 4282246060 5352807575 5786819000 8564492120 10705615150 21411230300 26764037875 42822460600 53528075750 107056151500 214112303000