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1011011000120 = 235112979232837
BaseRepresentation
bin11101011011001001111…
…00111001011100111000
310120122121002120012001022
432231210330321130320
5113031022304000440
62052241350242012
7133020536465132
oct16554474713470
93518532505038
101011011000120
1135a8493972a0
12143b35656308
1374451575024
1436d0c97c052
151b473279cb5
hexeb64f39738

1011011000120 has 64 divisors (see below), whose sum is σ = 2567143951200. Its totient is φ = 354963105280.

The previous prime is 1011011000071. The next prime is 1011011000123. The reversal of 1011011000120 is 210001101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1011011000098 and 1011011000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39603659 + ... + 39629178.

Almost surely, 21011011000120 is an apocalyptic number.

1011011000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011011000120 is an abundant number, since it is smaller than the sum of its proper divisors (1556132951080).

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

1011011000120 is a wasteful number, since it uses less digits than its factorization.

1011011000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79232888 (or 79232884 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011011000120 its reverse (210001101101), we get a palindrome (1221012101221).

The spelling of 1011011000120 in words is "one trillion, eleven billion, eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 79232837 158465674 316931348 396164185 633862696 792328370 871561207 1584656740 1743122414 2297752273 3169313480 3486244828 4357806035 4595504546 6972489656 8715612070 9191009092 11488761365 17431224140 18382018184 22977522730 25275275003 34862448280 45955045460 50550550006 91910090920 101101100012 126376375015 202202200024 252752750030 505505500060 1011011000120