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23302220331 = 313171929227281
BaseRepresentation
bin10101101100111010…
…111010101000101011
32020010222020102221110
4111230322322220223
5340210332022311
614412131241403
71453310414265
oct255472725053
966128212843
1023302220331
119978550035
124623a49263
132274886770
1411b0abcb35
15915b0b8a6
hex56cebaa2b

23302220331 has 128 divisors (see below), whose sum is σ = 38886220800. Its totient is φ = 12246958080.

The previous prime is 23302220321. The next prime is 23302220371. The reversal of 23302220331 is 13302220332.

It is not a de Polignac number, because 23302220331 - 29 = 23302219819 is a prime.

It is a super-2 number, since 2×233022203312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23302220298 and 23302220307.

It is not an unprimeable number, because it can be changed into a prime (23302220321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82925911 + ... + 82926191.

It is an arithmetic number, because the mean of its divisors is an integer number (303798600).

Almost surely, 223302220331 is an apocalyptic number.

23302220331 is a deficient number, since it is larger than the sum of its proper divisors (15584000469).

23302220331 is a wasteful number, since it uses less digits than its factorization.

23302220331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 23302220331 its reverse (13302220332), we get a palindrome (36604440663).

Subtracting from 23302220331 its reverse (13302220332), we obtain a palindrome (9999999999).

The spelling of 23302220331 in words is "twenty-three billion, three hundred two million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 13 17 19 29 39 51 57 87 221 227 247 281 323 377 493 551 663 681 741 843 969 1131 1479 1653 2951 3653 3859 4199 4313 4777 5339 6409 6583 7163 8149 8853 9367 10959 11577 12597 12939 14331 16017 19227 19749 21489 24447 28101 50167 56069 62101 63787 69407 73321 85579 90763 105937 111911 121771 125077 138533 150501 154831 168207 186303 191361 208221 219963 256737 272289 317811 335733 365313 375231 415599 464493 829231 953173 1084379 1179919 1211953 1454843 1626001 1800929 1849823 2012803 2126309 2487693 2632127 2859519 3253137 3539757 3635859 4364529 4878003 5402787 5549469 6038409 6378927 7896381 14096927 15755389 20603201 24047699 27642017 31446991 34217651 35146637 42290781 47266167 61809603 72143097 82926051 94340973 102652953 105439911 267841613 408810883 456906281 597492829 803524839 1226432649 1370718843 1792478487 7767406777 23302220331