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2221120030320 = 2432529631041137
BaseRepresentation
bin100000010100100101000…
…100100000011001110000
321212100002200012020110200
4200110211010200121300
5242342323211432240
64420211330355200
7316320265515342
oct40244504403160
97770080166420
102221120030320
11786a763973a4
122ba57472bb00
131315b2302cb9
14797078cb292
153cb9a6ad930
hex20525120670

2221120030320 has 120 divisors (see below), whose sum is σ = 7461786071376. Its totient is φ = 592098207744.

The previous prime is 2221120030301. The next prime is 2221120030387. The reversal of 2221120030320 is 230300211222.

2221120030320 is a `hidden beast` number, since 2 + 221 + 120 + 0 + 3 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221120030293 and 2221120030302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1612792 + ... + 2653928.

Almost surely, 22221120030320 is an apocalyptic number.

2221120030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221120030320 is an abundant number, since it is smaller than the sum of its proper divisors (5240666041056).

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

2221120030320 is a wasteful number, since it uses less digits than its factorization.

2221120030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044119 (or 1044110 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2221120030320 its reverse (230300211222), we get a palindrome (2451420241542).

The spelling of 2221120030320 in words is "two trillion, two hundred twenty-one billion, one hundred twenty million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2963 5926 8889 11852 14815 17778 23704 26667 29630 35556 44445 47408 53334 59260 71112 88890 106668 118520 133335 142224 177780 213336 237040 266670 355560 426672 533340 711120 1041137 1066680 2082274 2133360 3123411 4164548 5205685 6246822 8329096 9370233 10411370 12493644 15617055 16658192 18740466 20822740 24987288 31234110 37480932 41645480 46851165 49974576 62468220 74961864 83290960 93702330 124936440 149923728 187404660 249872880 374809320 749618640 3084888931 6169777862 9254666793 12339555724 15424444655 18509333586 24679111448 27764000379 30848889310 37018667172 46273333965 49358222896 55528000758 61697778620 74037334344 92546667930 111056001516 123395557240 138820001895 148074668688 185093335860 222112003032 246791114480 277640003790 370186671720 444224006064 555280007580 740373343440 1110560015160 2221120030320