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22112112202000 = 245331211504741
BaseRepresentation
bin1010000011100011000001…
…00101111101000100010000
32220021220020010012022102121
411001301200211331010100
510344241101210431000
6115010055240424024
74441355516354512
oct501614045750420
986256203168377
1022112112202000
11705576a970617
122591585778014
13c45217815a72
14566336635bb2
152852c05d3b1a
hex141c6097d110

22112112202000 has 120 divisors (see below), whose sum is σ = 55247473785816. Its totient is φ = 8559526560000.

The previous prime is 22112112201997. The next prime is 22112112202127. The reversal of 22112112202000 is 20221121122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3721976064 + 22108390225936 = 61008^2 + 4701956^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 3830371 + ... + 7674370.

Almost surely, 222112112202000 is an apocalyptic number.

22112112202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112112202000 is an abundant number, since it is smaller than the sum of its proper divisors (33135361583816).

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

22112112202000 is a wasteful number, since it uses less digits than its factorization.

22112112202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11504826 (or 11504779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22112112202000 its reverse (20221121122), we get a palindrome (22132333323122).

The spelling of 22112112202000 in words is "twenty-two trillion, one hundred twelve billion, one hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 961 1000 1240 1550 1922 2000 2480 3100 3844 3875 4805 6200 7688 7750 9610 12400 15376 15500 19220 24025 31000 38440 48050 62000 76880 96100 120125 192200 240250 384400 480500 961000 1922000 11504741 23009482 46018964 57523705 92037928 115047410 184075856 230094820 287618525 356646971 460189640 575237050 713293942 920379280 1150474100 1426587884 1438092625 1783234855 2300948200 2853175768 2876185250 3566469710 4601896400 5706351536 5752370500 7132939420 8916174275 11056056101 11504741000 14265878840 17832348550 22112112202 23009482000 28531757680 35664697100 44224224404 44580871375 55280280505 71329394200 88448448808 89161742750 110560561010 142658788400 176896897616 178323485500 221121122020 276401402525 356646971000 442242244040 552802805050 713293942000 884484488080 1105605610100 1382007012625 2211211220200 2764014025250 4422422440400 5528028050500 11056056101000 22112112202000