Search a number
-
+
23103424000 = 2953467773
BaseRepresentation
bin10101100001000100…
…100100011000000000
32012122010011112122101
4111201010210120000
5334303434032000
614340310320144
71445344602166
oct254104443000
965563145571
1023103424000
11988630a448
124589359054
1322426312b7
141192531236
1590343de6a
hex561124600

23103424000 has 160 divisors (see below), whose sum is σ = 57807880416. Its totient is φ = 9209651200.

The previous prime is 23103423991. The next prime is 23103424009. The reversal of 23103424000 is 42430132.

It is an interprime number because it is at equal distance from previous prime (23103423991) and next prime (23103424009).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23103424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29887614 + ... + 29888386.

Almost surely, 223103424000 is an apocalyptic number.

23103424000 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 23103424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28903940208).

23103424000 is an abundant number, since it is smaller than the sum of its proper divisors (34704456416).

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

23103424000 is an frugal number, since it uses more digits than its factorization.

23103424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23103424000 its reverse (42430132), we get a palindrome (23145854132).

The spelling of 23103424000 in words is "twenty-three billion, one hundred three million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 467 500 512 640 773 800 934 1000 1280 1546 1600 1868 2000 2335 2560 3092 3200 3736 3865 4000 4670 6184 6400 7472 7730 8000 9340 11675 12368 12800 14944 15460 16000 18680 19325 23350 24736 29888 30920 32000 37360 38650 46700 49472 58375 59776 61840 64000 74720 77300 93400 96625 98944 116750 119552 123680 149440 154600 186800 193250 197888 233500 239104 247360 298880 309200 360991 373600 386500 395776 467000 494720 597760 618400 721982 747200 773000 934000 989440 1195520 1236800 1443964 1494400 1546000 1804955 1868000 1978880 2473600 2887928 2988800 3092000 3609910 3736000 4947200 5775856 5977600 6184000 7219820 7472000 9024775 9894400 11551712 12368000 14439640 14944000 18049550 23103424 24736000 28879280 29888000 36099100 45123875 46206848 49472000 57758560 72198200 90247750 92413696 115517120 144396400 180495500 184827392 231034240 288792800 360991000 462068480 577585600 721982000 924136960 1155171200 1443964000 2310342400 2887928000 4620684800 5775856000 11551712000 23103424000