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330030032101020 = 223351735950983889
BaseRepresentation
bin100101100001010010001101…
…0110101000001111010011100
31121021112120012101100011001000
41023002210122311001322130
5321224203001204213040
63125525411555350300
7126341611566624156
oct11302443265017234
91537476171304030
10330030032101020
1196180a5028a579
1231022045bb2390
131121c910768534
145b6d7785c5ad6
152824c89ea3130
hex12c291ad41e9c

330030032101020 has 96 divisors (see below), whose sum is σ = 1087157752833600. Its totient is φ = 82831066877952.

The previous prime is 330030032100991. The next prime is 330030032101027. The reversal of 330030032101020 is 20101230030033.

330030032101020 is a `hidden beast` number, since 3 + 30 + 0 + 300 + 321 + 0 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330030032100984 and 330030032101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330030032101027) 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, 17975482765 + ... + 17975501124.

It is an arithmetic number, because the mean of its divisors is an integer number (11324559925350).

Almost surely, 2330030032101020 is an apocalyptic number.

330030032101020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330030032101020 is an abundant number, since it is smaller than the sum of its proper divisors (757127720732580).

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

330030032101020 is a wasteful number, since it uses less digits than its factorization.

330030032101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35950983924 (or 35950983916 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330030032101020 its reverse (20101230030033), we get a palindrome (350131262131053).

The spelling of 330030032101020 in words is "three hundred thirty trillion, thirty billion, thirty-two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 35950983889 71901967778 107852951667 143803935556 179754919445 215705903334 323558855001 359509838890 431411806668 539264758335 611166726113 647117710002 719019677780 970676565003 1078529516670 1222333452226 1294235420004 1617794275005 1833500178339 1941353130006 2157059033340 2444666904452 3055833630565 3235588550010 3667000356678 3882706260012 4853382825015 5500500535017 6111667261130 6471177100020 7334000713356 9167500891695 9706765650030 11001001070034 12223334522260 16501501605051 18335001783390 19413531300060 22002002140068 27502502675085 33003003210102 36670003566780 55005005350170 66006006420204 82507508025255 110010010700340 165015016050510 330030032101020