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10104122445131 = 1113127556363771
BaseRepresentation
bin1001001100001000110010…
…1000010000110101001011
31022202221111122222111200002
42103002030220100311023
52311021220321221011
633253434134233215
72061666400463261
oct223021450206513
938687448874602
1010104122445131
113246152785170
1211722b61b580b
13583a78a5b4c0
1426d083898431
15127c7103cc3b
hex9308ca10d4b

10104122445131 has 16 divisors (see below), whose sum is σ = 11964046553088. Its totient is φ = 8412220202400.

The previous prime is 10104122445119. The next prime is 10104122445181. The reversal of 10104122445131 is 13154422140101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10104122445131 is a prime.

It is a super-2 number, since 2×101041224451312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10104122445094 and 10104122445103.

It is not an unprimeable number, because it can be changed into a prime (10104122445101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278163725 + ... + 278200046.

It is an arithmetic number, because the mean of its divisors is an integer number (747752909568).

Almost surely, 210104122445131 is an apocalyptic number.

10104122445131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10104122445131 is a deficient number, since it is larger than the sum of its proper divisors (1859924107957).

10104122445131 is a wasteful number, since it uses less digits than its factorization.

10104122445131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556363922.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 10104122445131 its reverse (13154422140101), we get a palindrome (23258544585232).

It can be divided in two parts, 1010412 and 2445131, that added together give a palindrome (3455543).

The spelling of 10104122445131 in words is "ten trillion, one hundred four billion, one hundred twenty-two million, four hundred forty-five thousand, one hundred thirty-one".

Divisors: 1 11 13 127 143 1397 1651 18161 556363771 6120001481 7232729023 70658198917 79560019253 777240188087 918556585921 10104122445131