Search a number
-
+
103133323310200 = 23526129092905999
BaseRepresentation
bin10111011100110010011001…
…000110011011010001111000
3111112011110010121220200220121
4113130302121012123101320
5102004214021231411300
61003202443351303024
730503064615632611
oct2734623106332170
9445143117820817
10103133323310200
112a952662368137
12b697b1937aa74
13457157a2019c1
141b679726dac08
15bdcb039d181a
hex5dcc9919b478

103133323310200 has 96 divisors (see below), whose sum is σ = 243799741800000. Its totient is φ = 40563082483200.

The previous prime is 103133323310183. The next prime is 103133323310209. The reversal of 103133323310200 is 2013323331301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103133323310209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34036801 + ... + 36942799.

It is an arithmetic number, because the mean of its divisors is an integer number (2539580643750).

Almost surely, 2103133323310200 is an apocalyptic number.

103133323310200 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 103133323310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121899870900000).

103133323310200 is an abundant number, since it is smaller than the sum of its proper divisors (140666418489800).

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

103133323310200 is a wasteful number, since it uses less digits than its factorization.

103133323310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908985 (or 2908976 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 103133323310200 its reverse (2013323331301), we get a palindrome (105146646641501).

The spelling of 103133323310200 in words is "one hundred three trillion, one hundred thirty-three billion, three hundred twenty-three million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 2909 3050 5818 6100 11636 12200 14545 23272 29090 58180 72725 116360 145450 177449 290900 354898 581800 709796 887245 1419592 1774490 2905999 3548980 4436225 5811998 7097960 8872450 11623996 14529995 17744900 23247992 29059990 35489800 58119980 72649975 116239960 145299950 177265939 290599900 354531878 581199800 709063756 886329695 1418127512 1772659390 3545318780 4431648475 7090637560 8453551091 8863296950 16907102182 17726593900 33814204364 35453187800 42267755455 67628408728 84535510910 169071021820 211338777275 338142043640 422677554550 515666616551 845355109100 1031333233102 1690710218200 2062666466204 2578333082755 4125332932408 5156666165510 10313332331020 12891665413775 20626664662040 25783330827550 51566661655100 103133323310200