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310214234200 = 235213235187529
BaseRepresentation
bin1001000001110100011…
…01011001000001011000
31002122201100210212221111
410200322031121001120
520040304320443300
6354302131350104
731261253324653
oct4407215310130
91078640725844
10310214234200
1110a619936672
1250156152334
132333a018280
141102b91089a
1581092889ba
hex483a359058

310214234200 has 96 divisors (see below), whose sum is σ = 810499687200. Its totient is φ = 109560591360.

The previous prime is 310214234147. The next prime is 310214234203. The reversal of 310214234200 is 2432412013.

It is a super-2 number, since 2×3102142342002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310214234203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2533965 + ... + 2653564.

It is an arithmetic number, because the mean of its divisors is an integer number (8442705075).

Almost surely, 2310214234200 is an apocalyptic number.

It is an amenable number.

310214234200 is an abundant number, since it is smaller than the sum of its proper divisors (500285453000).

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

310214234200 is a wasteful number, since it uses less digits than its factorization.

310214234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187581 (or 5187572 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 310214234200 its reverse (2432412013), we get a palindrome (312646646213).

The spelling of 310214234200 in words is "three hundred ten billion, two hundred fourteen million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 2300 2392 2600 2990 4600 5980 7475 11960 14950 29900 59800 5187529 10375058 20750116 25937645 41500232 51875290 67437877 103750580 119313167 129688225 134875754 207501160 238626334 259376450 269751508 337189385 477252668 518752900 539503016 596565835 674378770 954505336 1037505800 1193131670 1348757540 1551071171 1685946925 2386263340 2697515080 2982829175 3102142342 3371893850 4772526680 5965658350 6204284684 6743787700 7755355855 11931316700 12408569368 13487575400 15510711710 23862633400 31021423420 38776779275 62042846840 77553558550 155107117100 310214234200