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23230031310 = 23451710116703
BaseRepresentation
bin10101101000100111…
…100010010111001110
32012221221101212020000
4111220213202113032
5340033342000220
614401032105130
71451443002543
oct255047422716
965857355200
1023230031310
119940824392
1246038351a6
13226292c775
1411a528abca
1590e5ec390
hex5689e25ce

23230031310 has 160 divisors (see below), whose sum is σ = 66796088832. Its totient is φ = 5772211200.

The previous prime is 23230031249. The next prime is 23230031329. The reversal of 23230031310 is 1313003232.

23230031310 is a `hidden beast` number, since 2 + 323 + 0 + 0 + 31 + 310 = 666.

It is a super-2 number, since 2×232300313102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1382419 + ... + 1399121.

Almost surely, 223230031310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23230031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33398044416).

23230031310 is an abundant number, since it is smaller than the sum of its proper divisors (43566057522).

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

23230031310 is a wasteful number, since it uses less digits than its factorization.

23230031310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16840 (or 16831 counting only the distinct ones).

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

Adding to 23230031310 its reverse (1313003232), we get a palindrome (24543034542).

The spelling of 23230031310 in words is "twenty-three billion, two hundred thirty million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 101 102 135 153 162 170 202 255 270 303 306 405 459 505 510 606 765 810 909 918 1010 1377 1515 1530 1717 1818 2295 2727 2754 3030 3434 4545 4590 5151 5454 6885 8181 8585 9090 10302 13635 13770 15453 16362 16703 17170 25755 27270 30906 33406 40905 46359 50109 51510 77265 81810 83515 92718 100218 139077 150327 154530 167030 231795 250545 278154 283951 300654 450981 463590 501090 567902 695385 751635 851853 901962 1352943 1390770 1419755 1503270 1687003 1703706 2254905 2555559 2705886 2839510 3374006 4259265 4509810 5061009 5111118 6764715 7666677 8435015 8518530 10122018 12777795 13529430 15183027 15333354 16870030 23000031 25305045 25555590 28679051 30366054 38333385 45549081 46000062 50610090 57358102 75915135 76666770 86037153 91098162 115000155 136647243 143395255 151830270 172074306 227745405 230000310 258111459 273294486 286790510 430185765 455490810 516222918 683236215 774334377 860371530 1290557295 1366472430 1548668754 2323003131 2581114590 3871671885 4646006262 7743343770 11615015655 23230031310