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332212010000100 = 223524759399341279
BaseRepresentation
bin100101110001001010010001…
…0110110001001111011100100
31121120021011021011201002201020
41023202110202312021323210
5322020430144030000400
63134320031314331140
7126655345206015036
oct11342244266117344
91546234234632636
10332212010000100
119694235a99437a
1231314ab5b89ab0
131134a5c5650a19
145c0720b815c56
1528618e41332a0
hex12e2522d89ee4

332212010000100 has 144 divisors (see below), whose sum is σ = 998289305395200. Its totient is φ = 85235402376320.

The previous prime is 332212010000099. The next prime is 332212010000131. The reversal of 332212010000100 is 1000010212233.

It is a super-2 number, since 2×3322120100001002 (a number of 30 digits) contains 22 as substring.

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 332212010000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198838740 + ... + 200502539.

It is an arithmetic number, because the mean of its divisors is an integer number (6932564620800).

Almost surely, 2332212010000100 is an apocalyptic number.

332212010000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332212010000100 is an abundant number, since it is smaller than the sum of its proper divisors (666077295395100).

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

332212010000100 is a wasteful number, since it uses less digits than its factorization.

332212010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399341402 (or 399341395 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 332212010000100 its reverse (1000010212233), we get a palindrome (333212020212333).

The spelling of 332212010000100 in words is "three hundred thirty-two trillion, two hundred twelve billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 59 60 75 94 100 118 141 150 177 188 235 236 282 295 300 354 470 564 590 705 708 885 940 1175 1180 1410 1475 1770 2350 2773 2820 2950 3525 3540 4425 4700 5546 5900 7050 8319 8850 11092 13865 14100 16638 17700 27730 33276 41595 55460 69325 83190 138650 166380 207975 277300 415950 831900 399341279 798682558 1198023837 1597365116 1996706395 2396047674 3993412790 4792095348 5990119185 7986825580 9983531975 11980238370 18769040113 19967063950 23561135461 23960476740 29950595925 37538080226 39934127900 47122270922 56307120339 59901191850 70683406383 75076160452 93845200565 94244541844 112614240678 117805677305 119802383700 141366812766 187690401130 225228481356 235611354610 281535601695 282733625532 353417031915 375380802260 469226002825 471222709220 563071203390 589028386525 706834063830 938452005650 1107373366667 1126142406780 1178056773050 1407678008475 1413668127660 1767085159575 1876904011300 2214746733334 2356113546100 2815356016950 3322120100001 3534170319150 4429493466668 5536866833335 5630712033900 6644240200002 7068340638300 11073733666670 13288480400004 16610600500005 22147467333340 27684334166675 33221201000010 55368668333350 66442402000020 83053002500025 110737336666700 166106005000050 332212010000100