Search a number
-
+
23130313133100 = 22352331232933667
BaseRepresentation
bin1010100001001011100100…
…00110010000110000101100
310000220020101021212211120220
411100211302012100300230
511012431340130224400
6121105530312211340
74605052502441565
oct520456206206054
9100806337784526
1023130313133100
117408568837428
122716987099b50
13cba243833c04
1459d72805116c
152a1a14b937a0
hex150972190c2c

23130313133100 has 72 divisors (see below), whose sum is σ = 67125892709568. Its totient is φ = 6149448782400.

The previous prime is 23130313133027. The next prime is 23130313133101. The reversal of 23130313133100 is 133131303132.

It is a super-2 number, since 2×231303131331002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23130313133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116367534 + ... + 116566133.

Almost surely, 223130313133100 is an apocalyptic number.

23130313133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23130313133100 is an abundant number, since it is smaller than the sum of its proper divisors (43995579576468).

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

23130313133100 is a wasteful number, since it uses less digits than its factorization.

23130313133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232934015 (or 232934008 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 23130313133100 its reverse (133131303132), we get a palindrome (23263444436232).

The spelling of 23130313133100 in words is "twenty-three trillion, one hundred thirty billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 331 662 993 1324 1655 1986 3310 3972 4965 6620 8275 9930 16550 19860 24825 33100 49650 99300 232933667 465867334 698801001 931734668 1164668335 1397602002 2329336670 2795204004 3494005005 4658673340 5823341675 6988010010 11646683350 13976020020 17470025025 23293366700 34940050050 69880100100 77101043777 154202087554 231303131331 308404175108 385505218885 462606262662 771010437770 925212525324 1156515656655 1542020875540 1927526094425 2313031313310 3855052188850 4626062626620 5782578283275 7710104377700 11565156566550 23130313133100