Search a number
-
+
13023701400 = 2335231700199
BaseRepresentation
bin11000010000100010…
…11110100110011000
31020121122101120200010
430020101132212120
5203133031421100
65552155041520
7640511430633
oct141021364630
936548346603
1013023701400
1155835a3696
1226357402a0
1312c727cab8
148b7978c1a
15513584750
hex30845e998

13023701400 has 96 divisors (see below), whose sum is σ = 41675904000. Its totient is φ = 3360950400.

The previous prime is 13023701393. The next prime is 13023701413. The reversal of 13023701400 is 410732031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331500 + ... + 368699.

It is an arithmetic number, because the mean of its divisors is an integer number (434124000).

Almost surely, 213023701400 is an apocalyptic number.

13023701400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023701400 is an abundant number, since it is smaller than the sum of its proper divisors (28652202600).

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

13023701400 is a wasteful number, since it uses less digits than its factorization.

13023701400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700249 (or 700240 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 13023701400 in words is "thirteen billion, twenty-three million, seven hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 700199 1400398 2100597 2800796 3500995 4201194 5601592 7001990 8402388 10502985 14003980 16804776 17504975 21005970 21706169 28007960 35009950 42011940 43412338 52514925 65118507 70019900 84023880 86824676 105029850 108530845 130237014 140039800 173649352 210059700 217061690 260474028 325592535 420119400 434123380 520948056 542654225 651185070 868246760 1085308450 1302370140 1627962675 2170616900 2604740280 3255925350 4341233800 6511850700 13023701400