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1021122003120 = 24359748790067
BaseRepresentation
bin11101101101111111001…
…11010100000010110000
310121121200202012100122220
432312333213110002300
5113212224213044440
62101032540201040
7133526232550032
oct16667747240260
93547622170586
101021122003120
1136406782851a
12145a97839180
13753a325923b
14375cb757c52
151b865c628d0
hexedbf9d40b0

1021122003120 has 160 divisors (see below), whose sum is σ = 3204714551808. Its totient is φ = 268935634944.

The previous prime is 1021122003119. The next prime is 1021122003173. The reversal of 1021122003120 is 213002211201.

It is a super-3 number, since 3×10211220031203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021122003120.

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, 11292327 + ... + 11382393.

Almost surely, 21021122003120 is an apocalyptic number.

1021122003120 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 1021122003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602357275904).

1021122003120 is an abundant number, since it is smaller than the sum of its proper divisors (2183592548688).

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

1021122003120 is a wasteful number, since it uses less digits than its factorization.

1021122003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90667 (or 90661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1021122003120 its reverse (213002211201), we get a palindrome (1234124214321).

The spelling of 1021122003120 in words is "one trillion, twenty-one billion, one hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 487 582 776 970 974 1164 1455 1461 1552 1940 1948 2328 2435 2910 2922 3880 3896 4656 4870 5820 5844 7305 7760 7792 9740 11640 11688 14610 19480 23280 23376 29220 38960 47239 58440 90067 94478 116880 141717 180134 188956 236195 270201 283434 360268 377912 450335 472390 540402 566868 708585 720536 755824 900670 944780 1080804 1133736 1351005 1417170 1441072 1801340 1889560 2161608 2267472 2702010 2834340 3602680 3779120 4323216 5404020 5668680 7205360 8736499 10808040 11337360 17472998 21616080 26209497 34945996 43682495 43862629 52418994 69891992 87364990 87725258 104837988 131047485 131587887 139783984 174729980 175450516 209675976 219313145 262094970 263175774 349459960 350901032 419351952 438626290 524189940 526351548 657939435 698919920 701802064 877252580 1048379880 1052703096 1315878870 1754505160 2096759760 2105406192 2631757740 3509010320 4254675013 5263515480 8509350026 10527030960 12764025039 17018700052 21273375065 25528050078 34037400104 42546750130 51056100156 63820125195 68074800208 85093500260 102112200312 127640250390 170187000520 204224400624 255280500780 340374001040 510561001560 1021122003120