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103213334000 = 2453713753813
BaseRepresentation
bin110000000011111111…
…1100111110111110000
3100212102010002121211002
41200013333213313300
53142340103142000
6115225431541132
710312502602130
oct1400777476760
9325363077732
10103213334000
113a855266537
1218005b2a7a8
13996b4694ca
144dd1b1aac0
152a413bd8d5
hex1807fe7df0

103213334000 has 160 divisors (see below), whose sum is σ = 287309932416. Its totient is φ = 35128473600.

The previous prime is 103213333987. The next prime is 103213334011. The reversal of 103213334000 is 433312301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891094 + ... + 1944906.

Almost surely, 2103213334000 is an apocalyptic number.

103213334000 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 103213334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143654966208).

103213334000 is an abundant number, since it is smaller than the sum of its proper divisors (184096598416).

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

103213334000 is a wasteful number, since it uses less digits than its factorization.

103213334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53980 (or 53964 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103213334000 its reverse (433312301), we get a palindrome (103646646301).

The spelling of 103213334000 in words is "one hundred three billion, two hundred thirteen million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 137 140 175 200 250 274 280 350 400 500 548 560 685 700 875 959 1000 1096 1370 1400 1750 1918 2000 2192 2740 2800 3425 3500 3836 4795 5480 6850 7000 7672 9590 10960 13700 14000 15344 17125 19180 23975 27400 34250 38360 47950 53813 54800 68500 76720 95900 107626 119875 137000 191800 215252 239750 269065 274000 376691 383600 430504 479500 538130 753382 861008 959000 1076260 1345325 1506764 1883455 1918000 2152520 2690650 3013528 3766910 4305040 5381300 6027056 6726625 7372381 7533820 9417275 10762600 13453250 14744762 15067640 18834550 21525200 26906500 29489524 30135280 36861905 37669100 47086375 51606667 53813000 58979048 73723810 75338200 94172750 103213334 107626000 117958096 147447620 150676400 184309525 188345500 206426668 258033335 294895240 368619050 376691000 412853336 516066670 589790480 737238100 753382000 825706672 921547625 1032133340 1290166675 1474476200 1843095250 2064266680 2580333350 2948952400 3686190500 4128533360 5160666700 6450833375 7372381000 10321333400 12901666750 14744762000 20642666800 25803333500 51606667000 103213334000