Search a number
-
+
105555403000 = 23533110133713
BaseRepresentation
bin110001001001110010…
…1111010000011111000
3101002110100010001111101
41202103211322003320
53212134140344000
6120254054341144
710424522056465
oct1422345720370
9332410101441
10105555403000
1140847300653
121855a35a7b4
139c52750b58
145174bba66c
152b2bceee6a
hex189397a0f8

105555403000 has 128 divisors (see below), whose sum is σ = 257499440640. Its totient is φ = 40454400000.

The previous prime is 105555402983. The next prime is 105555403003. The reversal of 105555403000 is 304555501.

It is a super-2 number, since 2×1055554030002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105555403000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105555403003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114144 + ... + 3147856.

It is an arithmetic number, because the mean of its divisors is an integer number (2011714380).

Almost surely, 2105555403000 is an apocalyptic number.

105555403000 is a gapful number since it is divisible by the number (10) 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 105555403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128749720320).

105555403000 is an abundant number, since it is smaller than the sum of its proper divisors (151944037640).

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

105555403000 is a wasteful number, since it uses less digits than its factorization.

105555403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33866 (or 33852 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

Adding to 105555403000 its reverse (304555501), we get a palindrome (105859958501).

The spelling of 105555403000 in words is "one hundred five billion, five hundred fifty-five million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 101 124 125 155 200 202 248 250 310 404 500 505 620 775 808 1000 1010 1240 1550 2020 2525 3100 3131 3875 4040 5050 6200 6262 7750 10100 12524 12625 15500 15655 20200 25048 25250 31000 31310 33713 50500 62620 67426 78275 101000 125240 134852 156550 168565 269704 313100 337130 391375 626200 674260 782750 842825 1045103 1348520 1565500 1685650 2090206 3131000 3371300 3405013 4180412 4214125 5225515 6742600 6810026 8360824 8428250 10451030 13620052 16856500 17025065 20902060 26127575 27240104 33713000 34050130 41804120 52255150 68100260 85125325 104510300 105555403 130637875 136200520 170250650 209020600 211110806 261275750 340501300 422221612 425626625 522551500 527777015 681002600 844443224 851253250 1045103000 1055554030 1702506500 2111108060 2638885075 3405013000 4222216120 5277770150 10555540300 13194425375 21111080600 26388850750 52777701500 105555403000