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1011002010000 = 2435433700067
BaseRepresentation
bin11101011011001000110…
…10100110100110010000
310120122120110122102220220
432231210122212212100
5113031013003310000
62052240425433040
7133020400202643
oct16554432464620
93518513572826
101011002010000
1135a844306944
12143b3263b780
137444c748028
1436d0b6bba5a
151b4725a11a0
hexeb646a6990

1011002010000 has 100 divisors (see below), whose sum is σ = 3263649385392. Its totient is φ = 269600528000.

The previous prime is 1011002009981. The next prime is 1011002010017. The reversal of 1011002010000 is 102001101.

It is a tau number, because it is divible by the number of its divisors (100).

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16820034 + ... + 16880033.

Almost surely, 21011002010000 is an apocalyptic number.

1011002010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011002010000 is an abundant number, since it is smaller than the sum of its proper divisors (2252647375392).

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

1011002010000 is an equidigital number, since it uses as much as digits as its factorization.

1011002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33700098 (or 33700077 counting only the distinct ones).

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

Adding to 1011002010000 its reverse (102001101), we get a palindrome (1011104011101).

The spelling of 1011002010000 in words is "one trillion, eleven billion, two million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 33700067 67400134 101100201 134800268 168500335 202200402 269600536 337000670 404400804 505501005 539201072 674001340 808801608 842501675 1011002010 1348002680 1617603216 1685003350 2022004020 2527505025 2696005360 3370006700 4044008040 4212508375 5055010050 6740013400 8088016080 8425016750 10110020100 12637525125 13480026800 16850033500 20220040200 21062541875 25275050250 33700067000 40440080400 42125083750 50550100500 63187625625 67400134000 84250167500 101100201000 126375251250 168500335000 202200402000 252750502500 337000670000 505501005000 1011002010000