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312031211100 = 223527221226613
BaseRepresentation
bin1001000101001101000…
…00100110111001011100
31002211101222202212200020
410202212200212321130
520103014442223400
6355202315432140
731354265350500
oct4424640467134
91084358685606
10312031211100
11110371536274
1250582755650
13235695a072b
1411160d66300
1581b3a472a0
hex48a6826e5c

312031211100 has 108 divisors (see below), whose sum is σ = 1050207954264. Its totient is φ = 71321416320.

The previous prime is 312031211081. The next prime is 312031211113. The reversal of 312031211100 is 1112130213.

It is a happy number.

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 312031211100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10598607 + ... + 10628006.

Almost surely, 2312031211100 is an apocalyptic number.

312031211100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312031211100 is an abundant number, since it is smaller than the sum of its proper divisors (738176743164).

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

312031211100 is a wasteful number, since it uses less digits than its factorization.

312031211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21226644 (or 21226630 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 312031211100 its reverse (1112130213), we get a palindrome (313143341313).

The spelling of 312031211100 in words is "three hundred twelve billion, thirty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 21226613 42453226 63679839 84906452 106133065 127359678 148586291 212266130 254719356 297172582 318399195 424532260 445758873 530665325 594345164 636798390 742931455 891517746 1040104037 1061330650 1273596780 1485862910 1591995975 1783035492 2080208074 2122661300 2228794365 2971725820 3120312111 3183991950 3714657275 4160416148 4457588730 5200520185 6240624222 6367983900 7429314550 8915177460 10401040370 11143971825 12481248444 14858629100 15601560555 20802080740 22287943650 26002600925 31203121110 44575887300 52005201850 62406242220 78007802775 104010403700 156015605550 312031211100