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1021021101100 = 22527111310200011
BaseRepresentation
bin11101101101110011001…
…10011001110000101100
310121121102201100000010001
432312321212121300230
5113212022400213400
62101014533354044
7133523566110040
oct16667146316054
93547381300101
101021021101100
11364015880320
12145a69a98924
137538838acc0
14375bc1b0020
151b85be80a6a
hexedb9999c2c

1021021101100 has 144 divisors (see below), whose sum is σ = 2974813099776. Its totient is φ = 293760288000.

The previous prime is 1021021101071. The next prime is 1021021101131. The reversal of 1021021101100 is 11011201201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999906 + ... + 5200105.

It is an arithmetic number, because the mean of its divisors is an integer number (20658424304).

Almost surely, 21021021101100 is an apocalyptic number.

1021021101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021021101100 is an abundant number, since it is smaller than the sum of its proper divisors (1953791998676).

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

1021021101100 is a wasteful number, since it uses less digits than its factorization.

1021021101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200056 (or 10200049 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1021021101100 its reverse (11011201201), we get a palindrome (1032032302301).

The spelling of 1021021101100 in words is "one trillion, twenty-one billion, twenty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 10200011 20400022 40800044 51000055 71400077 102000110 112200121 132600143 142800154 204000220 224400242 255000275 265200286 285600308 357000385 448800484 510000550 530400572 561000605 663000715 714000770 785400847 928201001 1020001100 1122001210 1326001430 1428001540 1458601573 1570801694 1785001925 1856402002 2244002420 2652002860 2805003025 2917203146 3141603388 3315003575 3570003850 3712804004 3927004235 4641005005 5610006050 5834406292 6630007150 7140007700 7293007865 7854008470 9282010010 10210211011 11220012100 13260014300 14586015730 15708016940 18564020020 19635021175 20420422022 23205025025 29172031460 36465039325 39270042350 40840844044 46410050050 51051055055 72930078650 78540084700 92820100100 102102110110 145860157300 204204220220 255255275275 510510550550 1021021101100