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10554141100 = 22522329158233
BaseRepresentation
bin10011101010001001…
…10110100110101100
31000020112110220210211
421311010312212230
5133103330003400
64503135512204
7522353501446
oct116504664654
930215426724
1010554141100
1145265a0468
122066688664
13cc274a809
147219ad496
1541b86cdba
hex2751369ac

10554141100 has 72 divisors (see below), whose sum is σ = 24722480160. Its totient is φ = 3898836480.

The previous prime is 10554141089. The next prime is 10554141133. The reversal of 10554141100 is 114145501.

It is a happy number.

10554141100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105541411002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12417 + ... + 145816.

It is an arithmetic number, because the mean of its divisors is an integer number (343367780).

Almost surely, 210554141100 is an apocalyptic number.

10554141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10554141100 is an abundant number, since it is smaller than the sum of its proper divisors (14168339060).

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

10554141100 is a wasteful number, since it uses less digits than its factorization.

10554141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158299 (or 158292 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 10554141100 its reverse (114145501), we get a palindrome (10668286601).

It can be divided in two parts, 105541 and 41100, that added together give a palindrome (146641).

The spelling of 10554141100 in words is "ten billion, five hundred fifty-four million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 2300 2668 2900 3335 6670 13340 16675 33350 66700 158233 316466 632932 791165 1582330 3164660 3639359 3955825 4588757 7278718 7911650 9177514 14557436 15823300 18196795 18355028 22943785 36393590 45887570 72787180 90983975 91775140 105541411 114718925 181967950 211082822 229437850 363935900 422165644 458875700 527707055 1055414110 2110828220 2638535275 5277070550 10554141100