Search a number
-
+
23111120030100 = 223521671230137501
BaseRepresentation
bin1010100000100111110100…
…00110011000100110010100
310000211101211200200011221020
411100103322012120212110
511012123033211430400
6121053034005321140
74603503045655224
oct520237206304624
9100741750604836
1023111120030100
11740040982a033
12271310b4061b0
13cb84a538552b
1459c826dac084
152a128ebb32a0
hex1504fa198994

23111120030100 has 144 divisors (see below), whose sum is σ = 67275844653696. Its totient is φ = 6125400000000.

The previous prime is 23111120030087. The next prime is 23111120030177. The reversal of 23111120030100 is 103002111132.

It is a happy number.

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 23111120030100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616261350 + ... + 616298850.

Almost surely, 223111120030100 is an apocalyptic number.

23111120030100 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 23111120030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33637922326848).

23111120030100 is an abundant number, since it is smaller than the sum of its proper divisors (44164724623596).

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

23111120030100 is a wasteful number, since it uses less digits than its factorization.

23111120030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49986 (or 49979 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23111120030100 its reverse (103002111132), we get a palindrome (23214122141232).

The spelling of 23111120030100 in words is "twenty-three trillion, one hundred eleven billion, one hundred twenty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 5010 8350 10020 12301 12525 16700 24602 25050 36903 37501 49204 50100 61505 73806 75002 112503 123010 147612 150004 184515 187505 225006 246020 307525 369030 375010 450012 562515 615050 738060 750020 922575 937525 1125030 1230100 1845150 1875050 2054267 2250060 2812575 3690300 3750100 4108534 5625150 6162801 6262667 8217068 10271335 11250300 12325602 12525334 18788001 20542670 24651204 25050668 30814005 31313335 37576002 41085340 51356675 61628010 62626670 75152004 93940005 102713350 123256020 125253340 154070025 156566675 187880010 205426700 308140050 313133350 375760020 461299801 469700025 616280100 626266700 922599602 939400050 1383899403 1845199204 1878800100 2306499005 2767798806 4612998010 5535597612 6919497015 9225996020 11532495025 13838994030 23064990050 27677988060 34597485075 46129980100 69194970150 77037066767 138389940300 154074133534 231111200301 308148267068 385185333835 462222400602 770370667670 924444801204 1155556001505 1540741335340 1925926669175 2311112003010 3851853338350 4622224006020 5777780007525 7703706676700 11555560015050 23111120030100