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330121021030140 = 2235109169929709959
BaseRepresentation
bin100101100001111100100101…
…0001100001111111011111100
31121021212021001120001122212210
41023003321022030033323330
5321232200322340431030
63130035300424100420
7126351312435022044
oct11303711214177374
91537767046048783
10330121021030140
11962065a215275a
12310377ba004710
131122838141c872
145b73d2a98c724
152827313075bb0
hex12c3e4a30fefc

330121021030140 has 96 divisors (see below), whose sum is σ = 933368103360000. Its totient is φ = 87173295005952.

The previous prime is 330121021030117. The next prime is 330121021030147. The reversal of 330121021030140 is 41030120121033.

It is a super-2 number, since 2×3301210210301402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121021030147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3743520 + ... + 25966439.

It is an arithmetic number, because the mean of its divisors is an integer number (9722584410000).

Almost surely, 2330121021030140 is an apocalyptic number.

330121021030140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330121021030140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466684051680000).

330121021030140 is an abundant number, since it is smaller than the sum of its proper divisors (603247082329860).

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

330121021030140 is a wasteful number, since it uses less digits than its factorization.

330121021030140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29711779 (or 29711777 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 330121021030140 its reverse (41030120121033), we get a palindrome (371151141151173).

The spelling of 330121021030140 in words is "three hundred thirty trillion, one hundred twenty-one billion, twenty-one million, thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 1699 2180 3270 3398 5097 6540 6796 8495 10194 16990 20388 25485 33980 50970 101940 185191 370382 555573 740764 925955 1111146 1851910 2222292 2777865 3703820 5555730 11111460 29709959 59419918 89129877 118839836 148549795 178259754 297099590 356519508 445649385 594199180 891298770 1782597540 3238385531 6476771062 9715156593 12953542124 16191927655 19430313186 32383855310 38860626372 48575782965 50477220341 64767710620 97151565930 100954440682 151431661023 194303131860 201908881364 252386101705 302863322046 504772203410 605726644092 757158305115 1009544406820 1514316610230 3028633220460 5502017017169 11004034034338 16506051051507 22008068068676 27510085085845 33012102103014 55020170171690 66024204206028 82530255257535 110040340343380 165060510515070 330121021030140