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1010104000 = 2653314073
BaseRepresentation
bin111100001101001…
…111011011000000
32121101200121012021
4330031033123000
54032041312000
6244122011224
734013512423
oct7415173300
92541617167
101010104000
114791a50a4
12242346b14
13131367199
149821b9ba
155da2a11a
hex3c34f6c0

1010104000 has 112 divisors (see below), whose sum is σ = 2582850816. Its totient is φ = 390912000.

The previous prime is 1010103979. The next prime is 1010104001. The reversal of 1010104000 is 4010101.

It is a happy number.

1010104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1010104001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245964 + ... + 250036.

It is an arithmetic number, because the mean of its divisors is an integer number (23061168).

Almost surely, 21010104000 is an apocalyptic number.

1010104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291425408).

1010104000 is an abundant number, since it is smaller than the sum of its proper divisors (1572746816).

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

1010104000 is an equidigital number, since it uses as much as digits as its factorization.

1010104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1010104000 is about 31782.1333456393. The cubic root of 1010104000 is about 1003.3567198247.

Adding to 1010104000 its reverse (4010101), we get a palindrome (1014114101).

The spelling of 1010104000 in words is "one billion, ten million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3875 4000 4073 4960 6200 7750 8000 8146 9920 12400 15500 16292 20365 24800 31000 32584 40730 49600 62000 65168 81460 101825 124000 126263 130336 162920 203650 248000 252526 260672 325840 407300 505052 509125 631315 651680 814600 1010104 1018250 1262630 1303360 1629200 2020208 2036500 2525260 3156575 3258400 4040416 4073000 5050520 6313150 6516800 8080832 8146000 10101040 12626300 15782875 16292000 20202080 25252600 31565750 32584000 40404160 50505200 63131500 101010400 126263000 202020800 252526000 505052000 1010104000