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103013300220 = 22352374647319
BaseRepresentation
bin101111111110000010…
…0100011011111111100
3100211220011200212001120
41133330010203133330
53141432401101340
6115153524310540
710304523414225
oct1377404433774
9324804625046
10103013300220
113a762360166
1217b6ab42450
139938b9ca1c
144db332a24c
152a2da594d0
hex17fc1237fc

103013300220 has 48 divisors (see below), whose sum is σ = 300977994240. Its totient is φ = 26275855936.

The previous prime is 103013300183. The next prime is 103013300267. The reversal of 103013300220 is 22003310301.

It is a super-3 number, since 3×1030133002203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 103013300220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37322280 + ... + 37325039.

It is an arithmetic number, because the mean of its divisors is an integer number (6270374880).

Almost surely, 2103013300220 is an apocalyptic number.

103013300220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013300220 is an abundant number, since it is smaller than the sum of its proper divisors (197964694020).

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

103013300220 is a wasteful number, since it uses less digits than its factorization.

103013300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74647354 (or 74647352 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103013300220 its reverse (22003310301), we get a palindrome (125016610521).

The spelling of 103013300220 in words is "one hundred three billion, thirteen million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 74647319 149294638 223941957 298589276 373236595 447883914 746473190 895767828 1119709785 1492946380 1716888337 2239419570 3433776674 4478839140 5150665011 6867553348 8584441685 10301330022 17168883370 20602660044 25753325055 34337766740 51506650110 103013300220