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103425222000 = 2435349135107
BaseRepresentation
bin110000001010010011…
…1111010010101110000
3100212221212210122111210
41200110213322111300
53143303324101000
6115302441240120
710320654611322
oct1402447722560
9325855718453
10103425222000
113a953929091
1218064a93040
1399a3326819
145011d15612
152a54cc5350
hex18149fa570

103425222000 has 160 divisors (see below), whose sum is σ = 334131542784. Its totient is φ = 27523104000.

The previous prime is 103425221929. The next prime is 103425222011. The reversal of 103425222000 is 222524301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2928447 + ... + 2963553.

Almost surely, 2103425222000 is an apocalyptic number.

103425222000 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 103425222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167065771392).

103425222000 is an abundant number, since it is smaller than the sum of its proper divisors (230706320784).

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

103425222000 is a wasteful number, since it uses less digits than its factorization.

103425222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35624 (or 35608 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 103425222000 its reverse (222524301), we get a palindrome (103647746301).

The spelling of 103425222000 in words is "one hundred three billion, four hundred twenty-five million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 491 500 600 750 982 1000 1200 1473 1500 1964 2000 2455 2946 3000 3928 4910 5892 6000 7365 7856 9820 11784 12275 14730 19640 23568 24550 29460 35107 36825 39280 49100 58920 61375 70214 73650 98200 105321 117840 122750 140428 147300 175535 184125 196400 210642 245500 280856 294600 351070 368250 421284 491000 526605 561712 589200 702140 736500 842568 877675 982000 1053210 1404280 1473000 1685136 1755350 2106420 2633025 2808560 2946000 3510700 4212840 4388375 5266050 7021400 8425680 8776750 10532100 13165125 14042800 17237537 17553500 21064200 26330250 34475074 35107000 42128400 51712611 52660500 68950148 70214000 86187685 103425222 105321000 137900296 172375370 206850444 210642000 258563055 275800592 344750740 413700888 430938425 517126110 689501480 827401776 861876850 1034252220 1292815275 1379002960 1723753700 2068504440 2154692125 2585630550 3447507400 4137008880 4309384250 5171261100 6464076375 6895014800 8618768500 10342522200 12928152750 17237537000 20685044400 25856305500 34475074000 51712611000 103425222000