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1002212222000 = 245311318114321
BaseRepresentation
bin11101001010110001000…
…00001110010000110000
310112210212220002221120012
432211120200032100300
5112410012312101000
62044224314034052
7132256516220603
oct16453040162060
93483786087505
101002212222000
11357043743040
1214229aa18928
137367b6b9242
143671618633a
151b10aa99735
hexe95880e430

1002212222000 has 160 divisors (see below), whose sum is σ = 2644669355328. Its totient is φ = 364300800000.

The previous prime is 1002212221999. The next prime is 1002212222071. The reversal of 1002212222000 is 2222122001.

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, 69974840 + ... + 69989160.

Almost surely, 21002212222000 is an apocalyptic number.

1002212222000 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 1002212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322334677664).

1002212222000 is an abundant number, since it is smaller than the sum of its proper divisors (1642457133328).

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

1002212222000 is a wasteful number, since it uses less digits than its factorization.

1002212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1002212222000 its reverse (2222122001), we get a palindrome (1004434344001).

Subtracting from 1002212222000 its reverse (2222122001), we obtain a palindrome (999990099999).

The spelling of 1002212222000 in words is "one trillion, two billion, two hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 3181 4400 5500 6362 11000 12724 14321 15905 22000 25448 28642 31810 34991 50896 57284 63620 69982 71605 79525 114568 127240 139964 143210 157531 159050 174955 229136 254480 279928 286420 315062 318100 349910 358025 397625 559856 572840 630124 636200 699820 716050 787655 795250 874775 1145680 1260248 1272400 1399640 1432100 1575310 1590500 1749550 1790125 2520496 2799280 2864200 3150620 3181000 3499100 3580250 3938275 4373875 5728400 6301240 6362000 6998200 7160500 7876550 8747750 12602480 13996400 14321000 15753100 17495500 19691375 28642000 31506200 34991000 39382750 45555101 63012400 69982000 78765500 91110202 157531000 182220404 227775505 315062000 364440808 455551010 501106111 728881616 911102020 1002212222 1138877525 1822204040 2004424444 2277755050 2505530555 3644408080 4008848888 4555510100 5011061110 5694387625 8017697776 9111020200 10022122220 11388775250 12527652775 18222040400 20044244440 22777550500 25055305550 40088488880 45555101000 50110611100 62638263875 91110202000 100221222200 125276527750 200442444400 250553055500 501106111000 1002212222000