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1092020100 = 2235212312957
BaseRepresentation
bin100000100010110…
…1110011110000100
32211002211100221220
41001011232132010
54214024120400
6300205440340
736030006033
oct10105563604
92732740856
101092020100
11510464956
122658700b0
13145318752
14a506271a
1565d0b7a0
hex4116e784

1092020100 has 72 divisors (see below), whose sum is σ = 3163214208. Its totient is φ = 290870400.

The previous prime is 1092020099. The next prime is 1092020107. The reversal of 1092020100 is 10202901.

It is a happy number.

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 1092020100.

It is not an unprimeable number, because it can be changed into a prime (1092020107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 367822 + ... + 370778.

Almost surely, 21092020100 is an apocalyptic number.

1092020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1092020100 is an abundant number, since it is smaller than the sum of its proper divisors (2071194108).

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

1092020100 is a wasteful number, since it uses less digits than its factorization.

1092020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1092020100 is about 33045.7274091523. The cubic root of 1092020100 is about 1029.7778450720. Note that the first 3 decimals are identical.

The spelling of 1092020100 in words is "one billion, ninety-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1231 2462 2957 3693 4924 5914 6155 7386 8871 11828 12310 14772 14785 17742 18465 24620 29570 30775 35484 36930 44355 59140 61550 73860 73925 88710 92325 123100 147850 177420 184650 221775 295700 369300 443550 887100 3640067 7280134 10920201 14560268 18200335 21840402 36400670 43680804 54601005 72801340 91001675 109202010 182003350 218404020 273005025 364006700 546010050 1092020100