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213000131003310 = 23257521648935597
BaseRepresentation
bin110000011011100011110101…
…001001010100001110101110
31000221011121120100122020121100
4300123203311021110032232
5210404243232014101220
62033002524225543530
762602515544516110
oct6033436511241656
91027147510566540
10213000131003310
116196093705a842
121ba80a28aa4ba6
1391b0a98124641
143a853931cb3b0
15199594eea1d90
hexc1b8f52543ae

213000131003310 has 96 divisors (see below), whose sum is σ = 634129483396032. Its totient is φ = 48592297428480.

The previous prime is 213000131003267. The next prime is 213000131003353. The reversal of 213000131003310 is 13300131000312.

It is a happy number.

213000131003310 is a `hidden beast` number, since 2 + 1 + 300 + 0 + 1 + 31 + 0 + 0 + 331 + 0 = 666.

213000131003310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213000131003267) and next prime (213000131003353).

It is a super-2 number, since 2×2130001310033102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324139569 + ... + 324796028.

It is an arithmetic number, because the mean of its divisors is an integer number (6605515452042).

Almost surely, 2213000131003310 is an apocalyptic number.

213000131003310 is an abundant number, since it is smaller than the sum of its proper divisors (421129352392722).

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

213000131003310 is a wasteful number, since it uses less digits than its factorization.

213000131003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648936138 (or 648936135 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213000131003310 its reverse (13300131000312), we get a palindrome (226300262003622).

The spelling of 213000131003310 in words is "two hundred thirteen trillion, one hundred thirty-one million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 521 630 1042 1563 2605 3126 3647 4689 5210 7294 7815 9378 10941 15630 18235 21882 23445 32823 36470 46890 54705 65646 109410 164115 328230 648935597 1297871194 1946806791 3244677985 3893613582 4542549179 5840420373 6489355970 9085098358 9734033955 11680840746 13627647537 19468067910 22712745895 27255295074 29202101865 40882942611 45425491790 58404203730 68138237685 81765885222 136276475370 204414713055 338095446037 408829426110 676190892074 1014286338111 1690477230185 2028572676222 2366668122259 3042859014333 3380954460370 4733336244518 5071431690555 6085718028666 7100004366777 10142863381110 11833340611295 14200008733554 15214295071665 21300013100331 23666681222590 30428590143330 35500021833885 42600026200662 71000043667770 106500065501655 213000131003310