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330031100413100 = 225240962191129749
BaseRepresentation
bin100101100001010010101101…
…0100000010100010010101100
31121021112122221211120000201002
41023002211122200110102230
5321224212143201204400
63125530110001135432
7126341650221261512
oct11302453240242254
91537478854500632
10330031100413100
1196181449321219
12310222a392a578
131121ca50ba2b68
145b6d83a4364b2
152824cedb79ed5
hex12c295a8144ac

330031100413100 has 72 divisors (see below), whose sum is σ = 717935585640000. Its totient is φ = 131686538918400.

The previous prime is 330031100413081. The next prime is 330031100413121. The reversal of 330031100413100 is 1314001130033.

It is a super-2 number, since 2×3300311004131002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 2543547026 + ... + 2543676774.

Almost surely, 2330031100413100 is an apocalyptic number.

It is an amenable number.

330031100413100 is an abundant number, since it is smaller than the sum of its proper divisors (387904485226900).

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

330031100413100 is a wasteful number, since it uses less digits than its factorization.

330031100413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192363 (or 192356 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 330031100413100 its reverse (1314001130033), we get a palindrome (331345101543133).

The spelling of 330031100413100 in words is "three hundred thirty trillion, thirty-one billion, one hundred million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 4090 8180 10225 20450 40900 62191 124382 129749 248764 259498 310955 518996 621910 648745 1243820 1297490 1554775 2594980 3109550 3243725 6219100 6487450 12974900 25436119 50872238 53067341 101744476 106134682 127180595 212269364 254361190 265336705 508722380 530673410 635902975 1061346820 1271805950 1326683525 2543611900 2653367050 5306734100 8069220059 16138440118 32276880236 40346100295 80692200590 161384401180 201730501475 403461002950 806922005900 3300311004131 6600622008262 13201244016524 16501555020655 33003110041310 66006220082620 82507775103275 165015550206550 330031100413100