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103220133000 = 2335367513533
BaseRepresentation
bin110000000100001100…
…1100011110010001000
3100212102120220001021220
41200020121203302020
53142343323224000
6115230233402040
710312614440235
oct1401031436210
9325376801256
10103220133000
113a85908a746
1218008269320
13996c9aa09a
144dd29aa78c
152a41cb31a0
hex1808663c88

103220133000 has 128 divisors (see below), whose sum is σ = 326854120320. Its totient is φ = 27114489600.

The previous prime is 103220132989. The next prime is 103220133011. The reversal of 103220133000 is 331022301.

It is an interprime number because it is at equal distance from previous prime (103220132989) and next prime (103220133011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55767 + ... + 457766.

It is an arithmetic number, because the mean of its divisors is an integer number (2553547815).

Almost surely, 2103220133000 is an apocalyptic number.

103220133000 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 103220133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163427060160).

103220133000 is an abundant number, since it is smaller than the sum of its proper divisors (223633987320).

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

103220133000 is a wasteful number, since it uses less digits than its factorization.

103220133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513624 (or 513610 counting only the distinct ones).

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

Adding to 103220133000 its reverse (331022301), we get a palindrome (103551155301).

The spelling of 103220133000 in words is "one hundred three billion, two hundred twenty million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1340 1500 1608 1675 2010 2680 3000 3350 4020 5025 6700 8040 8375 10050 13400 16750 20100 25125 33500 40200 50250 67000 100500 201000 513533 1027066 1540599 2054132 2567665 3081198 4108264 5135330 6162396 7702995 10270660 12324792 12838325 15405990 20541320 25676650 30811980 34406711 38514975 51353300 61623960 64191625 68813422 77029950 102706600 103220133 128383250 137626844 154059900 172033555 192574875 206440266 256766500 275253688 308119800 344067110 385149750 412880532 513533000 516100665 688134220 770299500 825761064 860167775 1032201330 1376268440 1540599000 1720335550 2064402660 2580503325 3440671100 4128805320 4300838875 5161006650 6881342200 8601677750 10322013300 12902516625 17203355500 20644026600 25805033250 34406711000 51610066500 103220133000