Search a number
-
+
11012002111020 = 22351712318770171
BaseRepresentation
bin1010000000111110111001…
…1110010101111000101100
31102222201220100202002102210
42200033232132111320230
52420410040020023040
635230502142250420
72214406451351541
oct240175636257054
942881810662383
1011012002111020
113566189122629
12129a249286a10
1361b572b476b1
142a0dab582bc8
151416aa1e5480
hexa03ee795e2c

11012002111020 has 96 divisors (see below), whose sum is σ = 32673872157696. Its totient is φ = 2761551129600.

The previous prime is 11012002111009. The next prime is 11012002111067. The reversal of 11012002111020 is 2011120021011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012002110987 and 11012002111005.

It is an unprimeable number.

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, 3129466 + ... + 5640705.

It is an arithmetic number, because the mean of its divisors is an integer number (340352834976).

Almost surely, 211012002111020 is an apocalyptic number.

11012002111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012002111020 is an abundant number, since it is smaller than the sum of its proper divisors (21661870046676).

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

11012002111020 is a wasteful number, since it uses less digits than its factorization.

11012002111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771431 (or 8771429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012002111020 its reverse (2011120021011), we get a palindrome (13023122132031).

The spelling of 11012002111020 in words is "eleven trillion, twelve billion, two million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1231 2462 3693 4924 6155 7386 12310 14772 18465 20927 24620 36930 41854 62781 73860 83708 104635 125562 209270 251124 313905 418540 627810 1255620 8770171 17540342 26310513 35080684 43850855 52621026 87701710 105242052 131552565 149092907 175403420 263105130 298185814 447278721 526210260 596371628 745464535 894557442 1490929070 1789114884 2236393605 2981858140 4472787210 8945574420 10796080501 21592161002 32388241503 43184322004 53980402505 64776483006 107960805010 129552966012 161941207515 183533368517 215921610020 323882415030 367066737034 550600105551 647764830060 734133474068 917666842585 1101200211102 1835333685170 2202400422204 2753000527755 3670667370340 5506001055510 11012002111020