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230300321001023 = 71347533732723771
BaseRepresentation
bin110100010111010011111000…
…110100110010111000111111
31010012102111101100021101102102
4310113103320310302320333
5220141220024134013043
62133450301254015315
766336435434264420
oct6427237064627077
91105374340241372
10230300321001023
11674208aa3194a9
12219b58b364753b
139b672c4b9b760
1440c28489d1647
151b9598e7d36b8
hexd174f8d32e3f

230300321001023 has 64 divisors (see below), whose sum is σ = 295729993101312. Its totient is φ = 174504665986560.

The previous prime is 230300321001007. The next prime is 230300321001041. The reversal of 230300321001023 is 320100123003032.

It is not a de Polignac number, because 230300321001023 - 24 = 230300321001007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230300321000986 and 230300321001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230300321001043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83190128 + ... + 85913898.

It is an arithmetic number, because the mean of its divisors is an integer number (4620781142208).

Almost surely, 2230300321001023 is an apocalyptic number.

230300321001023 is a deficient number, since it is larger than the sum of its proper divisors (65429672100289).

230300321001023 is a wasteful number, since it uses less digits than its factorization.

230300321001023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724264.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 230300321001023 its reverse (320100123003032), we get a palindrome (550400444004055).

The spelling of 230300321001023 in words is "two hundred thirty trillion, three hundred billion, three hundred twenty-one million, one thousand, twenty-three".

Divisors: 1 7 13 47 53 91 329 371 373 611 689 2491 2611 4277 4823 4849 17437 17531 19769 32383 33943 122717 138383 226681 227903 256997 929143 1595321 1798979 2723771 6504001 12078859 19066397 35409023 84552013 128017237 144359863 247863161 896120659 1010519041 1015966583 1664224081 1876678219 6784913561 7111766081 11649568567 13136747533 13207565579 47494394927 47750429401 53846228899 88203876293 92452959053 334253005807 376923602293 617427134051 620755582213 700000975687 2530772758253 4345289075491 4900006829809 17715409307771 32900045857289 230300321001023