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330101131332330 = 2325108719183175897
BaseRepresentation
bin100101100001110011010100…
…0101011000100101011101010
31121021210100201102002022210100
41023003212220223010223222
5321231334104110113310
63130022211034530230
7126350006522255631
oct11303465053045352
91537710642068710
10330101131332330
11961a9115a11376
1231033988b96976
13112265318549c7
145b72da11ba518
152826a4bd46ec0
hex12c39a8ac4aea

330101131332330 has 96 divisors (see below), whose sum is σ = 859102177849344. Its totient is φ = 87940902244608.

The previous prime is 330101131332241. The next prime is 330101131332353. The reversal of 330101131332330 is 33233131101033.

330101131332330 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 0 + 11 + 313 + 3 + 2 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330101131332294 and 330101131332303.

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, 1876584942 + ... + 1876760838.

It is an arithmetic number, because the mean of its divisors is an integer number (8948981019264).

Almost surely, 2330101131332330 is an apocalyptic number.

330101131332330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330101131332330 is an abundant number, since it is smaller than the sum of its proper divisors (529001046517014).

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

330101131332330 is a wasteful number, since it uses less digits than its factorization.

330101131332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196180 (or 196177 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330101131332330 its reverse (33233131101033), we get a palindrome (363334262433363).

The spelling of 330101131332330 in words is "three hundred thirty trillion, one hundred one billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1087 2174 3261 5435 6522 9783 10870 16305 19183 19566 32610 38366 48915 57549 95915 97830 115098 172647 175897 191830 287745 345294 351794 527691 575490 863235 879485 1055382 1583073 1726470 1758970 2638455 3166146 5276910 7915365 15830730 20851921 41703842 62555763 104259605 125111526 187667289 191200039 208519210 312778815 375334578 382400078 573600117 625557630 938336445 956000195 1147200234 1720800351 1876672890 1912000390 2868000585 3374232151 3441600702 5736001170 6748464302 8604001755 10122696453 16871160755 17208003510 20245392906 30368089359 33742321510 50613482265 60736178718 101226964530 151840446795 303680893590 3667790348137 7335580696274 11003371044411 18338951740685 22006742088822 33010113133233 36677903481370 55016855222055 66020226266466 110033710444110 165050565666165 330101131332330