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1021120121000 = 23537236342361
BaseRepresentation
bin11101101101111111000…
…00001000100010101000
310121121200121122201212202
432312333200020202220
5113212223222333000
62101032431555332
7133526210550560
oct16667740104250
93547617581782
101021120121000
11364066762451
12145a9708bb48
13753a2a4a665
14375cb3c7da0
151b8659dedd5
hexedbf8088a8

1021120121000 has 128 divisors (see below), whose sum is σ = 2849496399360. Its totient is φ = 334876608000.

The previous prime is 1021120120967. The next prime is 1021120121009. The reversal of 1021120121000 is 1210211201.

It is a super-2 number, since 2×10211201210002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021120121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3010181 + ... + 3332180.

It is an arithmetic number, because the mean of its divisors is an integer number (22261690620).

Almost surely, 21021120121000 is an apocalyptic number.

1021120121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021120121000 is an abundant number, since it is smaller than the sum of its proper divisors (1828376278360).

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

1021120121000 is a wasteful number, since it uses less digits than its factorization.

1021120121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342412 (or 6342398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021120121000 its reverse (1210211201), we get a palindrome (1022330332201).

The spelling of 1021120121000 in words is "one trillion, twenty-one billion, one hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 2300 2875 3220 3500 4025 4600 5750 6440 7000 8050 11500 16100 20125 23000 32200 40250 80500 161000 6342361 12684722 25369444 31711805 44396527 50738888 63423610 88793054 126847220 145874303 158559025 177586108 221982635 253694440 291748606 317118050 355172216 443965270 583497212 634236100 729371515 792795125 887930540 1021120121 1109913175 1166994424 1268472200 1458743030 1585590250 1775861080 2042240242 2219826350 2917486060 3171180500 3646857575 4084480484 4439652700 5105600605 5549565875 5834972120 6342361000 7293715150 8168960968 8879305400 10211201210 11099131750 14587430300 18234287875 20422402420 22198263500 25528003025 29174860600 36468575750 40844804840 44396527000 51056006050 72937151500 102112012100 127640015125 145874303000 204224024200 255280030250 510560060500 1021120121000