Search a number
-
+
1042101300 = 2235237223421
BaseRepresentation
bin111110000111010…
…011010000110100
32200121220020020110
4332013103100310
54113234220200
6251223503020
734552500132
oct7607232064
92617806213
101042101300
1149526a149
12250bb7a70
13137b8b2b6
149c58a752
156174ab50
hex3e1d3434

1042101300 has 144 divisors (see below), whose sum is σ = 3117911552. Its totient is φ = 268531200.

The previous prime is 1042101299. The next prime is 1042101331. The reversal of 1042101300 is 31012401.

It is a happy number.

1042101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2475090 + ... + 2475510.

Almost surely, 21042101300 is an apocalyptic number.

1042101300 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 1042101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558955776).

1042101300 is an abundant number, since it is smaller than the sum of its proper divisors (2075810252).

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

1042101300 is a wasteful number, since it uses less digits than its factorization.

1042101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1042101300 is about 32281.5938268234. The cubic root of 1042101300 is about 1013.8413011366.

Adding to 1042101300 its reverse (31012401), we get a palindrome (1073113701).

It can be divided in two parts, 1042101 and 300, that added together give a palindrome (1042401).

The spelling of 1042101300 in words is "one billion, forty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 223 300 370 421 444 446 555 669 740 842 892 925 1110 1115 1263 1338 1684 1850 2105 2220 2230 2526 2676 2775 3345 3700 4210 4460 5052 5550 5575 6315 6690 8251 8420 10525 11100 11150 12630 13380 15577 16502 16725 21050 22300 24753 25260 31154 31575 33004 33450 41255 42100 46731 49506 62308 63150 66900 77885 82510 93462 93883 99012 123765 126300 155770 165020 186924 187766 206275 233655 247530 281649 311540 375532 389425 412550 467310 469415 495060 563298 618825 778850 825100 934620 938830 1126596 1168275 1237650 1408245 1557700 1877660 2336550 2347075 2475300 2816490 3473671 4673100 4694150 5632980 6947342 7041225 9388300 10421013 13894684 14082450 17368355 20842026 28164900 34736710 41684052 52105065 69473420 86841775 104210130 173683550 208420260 260525325 347367100 521050650 1042101300