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330101012013020 = 225863881143315149
BaseRepresentation
bin100101100001110011010000…
…1100011111001111111011100
31121021210100102002120021110122
41023003212201203321333130
5321231333333033404040
63130022151133254112
7126350003543131133
oct11303464143717734
91537710362507418
10330101012013020
11961a9064624a76
1231033955034338
1311226512c08871
145b72d8d3da91a
152826a416281b5
hex12c39a18f9fdc

330101012013020 has 96 divisors (see below), whose sum is σ = 695333898201600. Its totient is φ = 131637079777280.

The previous prime is 330101012013001. The next prime is 330101012013023. The reversal of 330101012013020 is 20310210101033.

It is a super-4 number, since 4×3301010120130204 (a number of 59 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330101012013020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330101012013023) 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, 21790276406 + ... + 21790291554.

It is an arithmetic number, because the mean of its divisors is an integer number (7243061439600).

Almost surely, 2330101012013020 is an apocalyptic number.

It is an amenable number.

330101012013020 is an abundant number, since it is smaller than the sum of its proper divisors (365232886188580).

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

330101012013020 is a wasteful number, since it uses less digits than its factorization.

330101012013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18335 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 330101012013020 its reverse (20310210101033), we get a palindrome (350411222114053).

The spelling of 330101012013020 in words is "three hundred thirty trillion, one hundred one billion, twelve million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 863 881 1433 1726 1762 2866 3452 3524 4315 4405 5732 7165 8630 8810 14330 15149 17260 17620 28660 30298 60596 75745 151490 302980 760303 1236679 1262473 1520606 2473358 2524946 3041212 3801515 4946716 5049892 6183395 6312365 7603030 12366790 12624730 13073587 13346269 15206060 21708517 24733580 25249460 26147174 26692538 43417034 52294348 53385076 65367935 66731345 86834068 108542585 130735870 133462690 217085170 261471740 266925380 434170340 1089514199 2179028398 4358056796 5447570995 10895141990 11517830147 18734450171 19125203477 21790283980 23035660294 37468900342 38250406954 46071320588 57589150735 74937800684 76500813908 93672250855 95626017385 115178301470 187344501710 191252034770 230356602940 374689003420 382504069540 16505050600651 33010101201302 66020202402604 82525253003255 165050506006510 330101012013020