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4100430100 = 2252132242629
BaseRepresentation
bin1111010001100111…
…1001100100010100
3101120202200102122111
43310121321210110
531344202230400
61514514240404
7203420036464
oct36431714424
911522612574
104100430100
111814649908
12965286104
13504685c00
142ac817ba4
1518eeb23ba
hexf4679914

4100430100 has 54 divisors (see below), whose sum is σ = 9635079930. Its totient is φ = 1513998720.

The previous prime is 4100430091. The next prime is 4100430121. The reversal of 4100430100 is 10340014.

4100430100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 3321908496 + 778521604 = 57636^2 + 27902^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104415 + ... + 138214.

Almost surely, 24100430100 is an apocalyptic number.

It is an amenable number.

4100430100 is an abundant number, since it is smaller than the sum of its proper divisors (5534649830).

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

4100430100 is a wasteful number, since it uses less digits than its factorization.

4100430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242669 (or 242649 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4100430100 is about 64034.6008030034. The cubic root of 4100430100 is about 1600.5766281001.

Adding to 4100430100 its reverse (10340014), we get a palindrome (4110770114).

The spelling of 4100430100 in words is "four billion, one hundred million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 242629 485258 970516 1213145 2426290 3154177 4852580 6065725 6308354 12131450 12616708 15770885 24262900 31541770 41004301 63083540 78854425 82008602 157708850 164017204 205021505 315417700 410043010 820086020 1025107525 2050215050 4100430100