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103420701300 = 223527148733119
BaseRepresentation
bin110000001010001011…
…0101010101001110100
3100212221120021222021110
41200110112222221310
53143301144420200
6115302200315020
710320601312410
oct1402426525164
9325846258243
10103420701300
113a951320674
1218063472a70
1399a2402c57
145011499d40
152a546d0b50
hex18145aaa74

103420701300 has 144 divisors (see below), whose sum is σ = 342218096640. Its totient is φ = 23622407040.

The previous prime is 103420701287. The next prime is 103420701317. The reversal of 103420701300 is 3107024301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106141 + ... + 3139259.

It is an arithmetic number, because the mean of its divisors is an integer number (2376514560).

Almost surely, 2103420701300 is an apocalyptic number.

103420701300 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 103420701300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171109048320).

103420701300 is an abundant number, since it is smaller than the sum of its proper divisors (238797395340).

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

103420701300 is a wasteful number, since it uses less digits than its factorization.

103420701300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34630 (or 34623 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 103420701300 its reverse (3107024301), we get a palindrome (106527725601).

The spelling of 103420701300 in words is "one hundred three billion, four hundred twenty million, seven hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1487 2100 2974 4461 5948 7435 8922 10409 14870 17844 20818 22305 29740 31227 33119 37175 41636 44610 52045 62454 66238 74350 89220 99357 104090 111525 124908 132476 148700 156135 165595 198714 208180 223050 231833 260225 312270 331190 397428 446100 463666 496785 520450 624540 662380 695499 780675 827975 927332 993570 1040900 1159165 1390998 1561350 1655950 1987140 2318330 2483925 2781996 3122700 3311900 3477495 4636660 4967850 5795825 6954990 9935700 11591650 13909980 17387475 23183300 34774950 49247953 69549900 98495906 147743859 196991812 246239765 295487718 344735671 492479530 590975436 689471342 738719295 984959060 1034207013 1231198825 1378942684 1477438590 1723678355 2068414026 2462397650 2954877180 3447356710 3693596475 4136828052 4924795300 5171035065 6894713420 7387192950 8618391775 10342070130 14774385900 17236783550 20684140260 25855175325 34473567100 51710350650 103420701300