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222130131100 = 2252173115712683
BaseRepresentation
bin1100111011011111111…
…1001101000010011100
3210020100122000211021121
43032313333031002130
512114410303143400
6250013431340324
722022406650443
oct3166777150234
9706318024247
10222130131100
1186228739249
1237072b216a4
1317c401044c7
14aa73257d5a
155ba120a21a
hex33b7fcd09c

222130131100 has 144 divisors (see below), whose sum is σ = 527372246016. Its totient is φ = 80846208000.

The previous prime is 222130131079. The next prime is 222130131133. The reversal of 222130131100 is 1131031222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82790359 + ... + 82793041.

It is an arithmetic number, because the mean of its divisors is an integer number (3662307264).

Almost surely, 2222130131100 is an apocalyptic number.

222130131100 is a gapful number since it is divisible by the number (20) 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 222130131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263686123008).

222130131100 is an abundant number, since it is smaller than the sum of its proper divisors (305242114916).

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

222130131100 is a wasteful number, since it uses less digits than its factorization.

222130131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 222130131100 its reverse (1131031222), we get a palindrome (223261162322).

The spelling of 222130131100 in words is "two hundred twenty-two billion, one hundred thirty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1571 1700 2108 2635 2683 3100 3142 5270 5366 6284 7855 10540 10732 13175 13415 15710 26350 26707 26830 31420 39275 45611 48701 52700 53414 53660 67075 78550 83173 91222 97402 106828 133535 134150 157100 166346 182444 194804 228055 243505 267070 268300 332692 415865 456110 487010 534140 667675 827917 831730 912220 974020 1140275 1217525 1335350 1413941 1655834 1663460 2079325 2280550 2435050 2670700 2827882 3311668 4139585 4158650 4214993 4561100 4870100 5655764 7069705 8279170 8317300 8429986 14139410 16558340 16859972 20697925 21074965 28278820 35348525 41395850 42149930 70697050 71654881 82791700 84299860 105374825 130664783 141394100 143309762 210749650 261329566 286619524 358274405 421499300 522659132 653323915 716548810 1306647830 1433097620 1791372025 2221301311 2613295660 3266619575 3582744050 4442602622 6533239150 7165488100 8885205244 11106506555 13066478300 22213013110 44426026220 55532532775 111065065550 222130131100