Search a number
-
+
23001312300 = 223522911532293
BaseRepresentation
bin10101011010111111…
…000010110000101100
32012101000000201201120
4111122333002300230
5334101313443200
614322221540540
71442664633351
oct253277026054
965330021646
1023001312300
11983370640a
12455b114750
13222742b585
141182b50628
158e94bd9a0
hex55afc2c2c

23001312300 has 144 divisors (see below), whose sum is σ = 68935067040. Its totient is φ = 5914460160.

The previous prime is 23001312289. The next prime is 23001312319. The reversal of 23001312300 is 321310032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23001312300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10029954 + ... + 10032246.

Almost surely, 223001312300 is an apocalyptic number.

23001312300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23001312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34467533520).

23001312300 is an abundant number, since it is smaller than the sum of its proper divisors (45933754740).

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

23001312300 is a wasteful number, since it uses less digits than its factorization.

23001312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23001312300 its reverse (321310032), we get a palindrome (23322622332).

The spelling of 23001312300 in words is "twenty-three billion, one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1153 1450 1740 2175 2293 2306 2900 3459 4350 4586 4612 5765 6879 6918 8700 9172 11465 11530 13758 13836 17295 22930 23060 27516 28825 33437 34395 34590 45860 57325 57650 66497 66874 68790 69180 86475 100311 114650 115300 132994 133748 137580 167185 171975 172950 199491 200622 229300 265988 332485 334370 343950 345900 398982 401244 501555 664970 668740 687900 797964 835925 997455 1003110 1329940 1662425 1671850 1994910 2006220 2507775 2643829 3324850 3343700 3989820 4987275 5015550 5287658 6649700 7931487 9974550 10031100 10575316 13219145 15862974 19949100 26438290 31725948 39657435 52876580 66095725 76671041 79314870 132191450 153342082 158629740 198287175 230013123 264382900 306684164 383355205 396574350 460026246 766710410 793148700 920052492 1150065615 1533420820 1916776025 2300131230 3833552050 4600262460 5750328075 7667104100 11500656150 23001312300