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11200001005509 = 3431371051602983
BaseRepresentation
bin1010001011111011010000…
…0101001101011111000101
31110122201011022211110002220
42202332310011031133011
52432000100224134014
635453113123122553
72234113315526001
oct242766405153705
943581138743086
1011200001005509
113628991647608
12130a775813459
13633203a05ab4
142aa123839701
1514650ec7b6a9
hexa2fb414d7c5

11200001005509 has 32 divisors (see below), whose sum is σ = 15406829712384. Its totient is φ = 7232889686400.

The previous prime is 11200001005499. The next prime is 11200001005519. The reversal of 11200001005509 is 90550010000211.

It is an interprime number because it is at equal distance from previous prime (11200001005499) and next prime (11200001005519).

It is not a de Polignac number, because 11200001005509 - 24 = 11200001005493 is a prime.

It is a super-2 number, since 2×112000010055092 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200001005519) 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 31 ways as a sum of consecutive naturals, for example, 18272832 + ... + 18875814.

It is an arithmetic number, because the mean of its divisors is an integer number (481463428512).

Almost surely, 211200001005509 is an apocalyptic number.

It is an amenable number.

11200001005509 is a deficient number, since it is larger than the sum of its proper divisors (4206828706875).

11200001005509 is a wasteful number, since it uses less digits than its factorization.

11200001005509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604217.

The product of its (nonzero) digits is 450, while the sum is 24.

The spelling of 11200001005509 in words is "eleven trillion, two hundred billion, one million, five thousand, five hundred nine".

Divisors: 1 3 43 129 137 411 1051 3153 5891 17673 45193 135579 143987 431961 602983 1808949 6191441 18574323 25928269 77784807 82608671 247826013 633735133 1901205399 3552172853 10656518559 27250610719 81751832157 86821713221 260465139663 3733333668503 11200001005509