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1011020100 = 2235261101547
BaseRepresentation
bin111100010000101…
…111000101000100
32121110102010211220
4330100233011010
54032310120400
6244153400340
734024346316
oct7420570504
92543363756
101011020100
11479770402
122427090b0
131315c815c
14983b97b6
155db5b7a0
hex3c42f144

1011020100 has 144 divisors (see below), whose sum is σ = 3008099136. Its totient is φ = 262080000.

The previous prime is 1011020099. The next prime is 1011020123. The reversal of 1011020100 is 10201101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848027 + ... + 1848573.

Almost surely, 21011020100 is an apocalyptic number.

1011020100 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 1011020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504049568).

1011020100 is an abundant number, since it is smaller than the sum of its proper divisors (1997079036).

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

1011020100 is a wasteful number, since it uses less digits than its factorization.

1011020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1011020100 is about 31796.5422648438. The cubic root of 1011020100 is about 1003.6599550536.

Adding to 1011020100 its reverse (10201101), we get a palindrome (1021221201).

It can be divided in two parts, 101 and 1020100, that added together give a palindrome (1020201).

The spelling of 1011020100 in words is "one billion, eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 101 122 150 183 202 244 300 303 305 366 404 505 547 606 610 732 915 1010 1094 1212 1220 1515 1525 1641 1830 2020 2188 2525 2735 3030 3050 3282 3660 4575 5050 5470 6060 6100 6161 6564 7575 8205 9150 10100 10940 12322 13675 15150 16410 18300 18483 24644 27350 30300 30805 32820 33367 36966 41025 54700 55247 61610 66734 73932 82050 92415 100101 110494 123220 133468 154025 164100 165741 166835 184830 200202 220988 276235 308050 331482 333670 369660 400404 462075 500505 552470 616100 662964 667340 828705 834175 924150 1001010 1104940 1381175 1657410 1668350 1848300 2002020 2502525 2762350 3314820 3336700 3370067 4143525 5005050 5524700 6740134 8287050 10010100 10110201 13480268 16574100 16850335 20220402 33700670 40440804 50551005 67401340 84251675 101102010 168503350 202204020 252755025 337006700 505510050 1011020100