Search a number
-
+
1010121450 = 235213239847
BaseRepresentation
bin111100001101010…
…011101011101010
32121101201111010120
4330031103223222
54032042341300
6244122224110
734013614332
oct7415235352
92541644116
101010121450
11479207218
12242355036
13131372100
14982240c2
155da303a0
hex3c353aea

1010121450 has 72 divisors (see below), whose sum is σ = 2712692448. Its totient is φ = 248639040.

The previous prime is 1010121449. The next prime is 1010121457. The reversal of 1010121450 is 541210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1010121457) 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 35 ways as a sum of consecutive naturals, for example, 5427 + ... + 45273.

It is an arithmetic number, because the mean of its divisors is an integer number (37676284).

Almost surely, 21010121450 is an apocalyptic number.

1010121450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010121450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356346224).

1010121450 is an abundant number, since it is smaller than the sum of its proper divisors (1702570998).

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

1010121450 is a wasteful number, since it uses less digits than its factorization.

1010121450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39888 (or 39870 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1010121450 is about 31782.4078697634. The cubic root of 1010121450 is about 1003.3624976040.

Adding to 1010121450 its reverse (541210101), we get a palindrome (1551331551).

The spelling of 1010121450 in words is "one billion, ten million, one hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 325 338 390 507 650 845 975 1014 1690 1950 2535 4225 5070 8450 12675 25350 39847 79694 119541 199235 239082 398470 518011 597705 996175 1036022 1195410 1554033 1992350 2590055 2988525 3108066 5180110 5977050 6734143 7770165 12950275 13468286 15540330 20202429 25900550 33670715 38850825 40404858 67341430 77701650 101012145 168353575 202024290 336707150 505060725 1010121450