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330101002213323 = 311409234110447399
BaseRepresentation
bin100101100001110011010000…
…0111110100001011111001011
31121021210100101102010101210220
41023003212200332201133023
5321231333323031311243
63130022150143241123
7126350003363624445
oct11303464076413713
91537710342111726
10330101002213323
11961a905a041350
12310339518a91a3
1311226510b87223
145b72d8bda9495
152826a4083e783
hex12c39a0fa17cb

330101002213323 has 32 divisors (see below), whose sum is σ = 481526516544000. Its totient is φ = 199486796371200.

The previous prime is 330101002213313. The next prime is 330101002213373. The reversal of 330101002213323 is 323312200101033.

It is not a de Polignac number, because 330101002213323 - 28 = 330101002213067 is a prime.

It is a super-2 number, since 2×3301010022133232 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330101002213293 and 330101002213302.

It is not an unprimeable number, because it can be changed into a prime (330101002213313) 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, 26372778 + ... + 36820176.

It is an arithmetic number, because the mean of its divisors is an integer number (15047703642000).

Almost surely, 2330101002213323 is an apocalyptic number.

330101002213323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

330101002213323 is a deficient number, since it is larger than the sum of its proper divisors (151425514330677).

330101002213323 is a wasteful number, since it uses less digits than its factorization.

330101002213323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450163.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330101002213323 its reverse (323312200101033), we get a palindrome (653413202314356).

The spelling of 330101002213323 in words is "three hundred thirty trillion, one hundred one billion, two million, two hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 11 33 409 1227 2341 4499 7023 13497 25751 77253 957469 2872407 10447399 10532159 31342197 31596477 114921389 344764167 4272986191 12818958573 24457361059 47002848101 73372083177 141008544303 269030971649 807092914947 10003060673131 30009182019393 110033667404441 330101002213323