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30331102211100 = 223252244113806319
BaseRepresentation
bin1101110010110000000101…
…00100101010110000011100
310222101121212122220210222200
412321120002210222300130
512433421044131223400
6144301525504411500
76250230662633055
oct671300244526034
9128347778823880
1030331102211100
119734391516949
12349a454916b90
1313c0297aa9162
1476c06708d72c
15378eacc32b00
hex1b960292ac1c

30331102211100 has 108 divisors (see below), whose sum is σ = 95110109334240. Its totient is φ = 8084979820800.

The previous prime is 30331102211099. The next prime is 30331102211197. The reversal of 30331102211100 is 111220113303.

30331102211100 is a `hidden beast` number, since 3 + 0 + 331 + 1 + 0 + 221 + 110 + 0 = 666.

It is a super-2 number, since 2×303311022111002 (a number of 28 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4706260 + ... + 9100059.

Almost surely, 230331102211100 is an apocalyptic number.

30331102211100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30331102211100 is an abundant number, since it is smaller than the sum of its proper divisors (64779007123140).

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

30331102211100 is a wasteful number, since it uses less digits than its factorization.

30331102211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808780 (or 13808770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30331102211100 its reverse (111220113303), we get a palindrome (30442322324403).

The spelling of 30331102211100 in words is "thirty trillion, three hundred thirty-one billion, one hundred two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2441 4882 7323 9764 12205 14646 21969 24410 29292 36615 43938 48820 61025 73230 87876 109845 122050 146460 183075 219690 244100 366150 439380 549225 732300 1098450 2196900 13806319 27612638 41418957 55225276 69031595 82837914 124256871 138063190 165675828 207094785 248513742 276126380 345157975 414189570 497027484 621284355 690315950 828379140 1035473925 1242568710 1380631900 2070947850 2485137420 3106421775 4141895700 6212843550 12425687100 33701224679 67402449358 101103674037 134804898716 168506123395 202207348074 303311022111 337012246790 404414696148 505518370185 606622044222 674024493580 842530616975 1011036740370 1213244088444 1516555110555 1685061233950 2022073480740 2527591850925 3033110221110 3370122467900 5055183701850 6066220442220 7582775552775 10110367403700 15165551105550 30331102211100