Search a number
-
+
1010432302000 = 245311341313457
BaseRepresentation
bin11101011010000100111…
…01010101101110110000
310120121002202122021110121
432231002131111232300
5113023331132131000
62052104114540024
7133000311566452
oct16550235255660
93517082567417
101010432302000
1135a581768890
121439b3897614
137438b6c72c4
1436c95b7c2d2
151b43c568b1a
hexeb42755bb0

1010432302000 has 160 divisors (see below), whose sum is σ = 2666315755584. Its totient is φ = 367294976000.

The previous prime is 1010432301953. The next prime is 1010432302003. The reversal of 1010432302000 is 2032340101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1010432302003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75079272 + ... + 75092728.

Almost surely, 21010432302000 is an apocalyptic number.

1010432302000 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 1010432302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333157877792).

1010432302000 is an abundant number, since it is smaller than the sum of its proper divisors (1655883453584).

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

1010432302000 is a wasteful number, since it uses less digits than its factorization.

1010432302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16904 (or 16888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1010432302000 its reverse (2032340101), we get a palindrome (1012464642101).

The spelling of 1010432302000 in words is "one trillion, ten billion, four hundred thirty-two million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 3413 4400 5500 6826 11000 13457 13652 17065 22000 26914 27304 34130 37543 53828 54608 67285 68260 75086 85325 107656 134570 136520 148027 150172 170650 187715 215312 269140 273040 296054 300344 336425 341300 375430 426625 538280 592108 600688 672850 682600 740135 750860 853250 938575 1076560 1184216 1345700 1365200 1480270 1501720 1682125 1706500 1877150 2368432 2691400 2960540 3003440 3364250 3413000 3700675 3754300 4692875 5382800 5921080 6728500 6826000 7401350 7508600 9385750 11842160 13457000 14802700 15017200 18503375 18771500 26914000 29605400 37006750 37543000 45928741 59210800 74013500 75086000 91857482 148027000 183714964 229643705 296054000 367429928 459287410 505216151 734859856 918574820 1010432302 1148218525 1837149640 2020864604 2296437050 2526080755 3674299280 4041729208 4592874100 5052161510 5741092625 8083458416 9185748200 10104323020 11482185250 12630403775 18371496400 20208646040 22964370500 25260807550 40417292080 45928741000 50521615100 63152018875 91857482000 101043230200 126304037750 202086460400 252608075500 505216151000 1010432302000