Search a number
-
+
1202313442300 = 2252372232695417
BaseRepresentation
bin10001011111101111011…
…101110011001111111100
311020221101021212011012121
4101133233131303033330
5124144314220123200
62320200221412324
7152602306431535
oct21375735631774
94227337764177
101202313442300
11423997659583
1217502440a0a4
13894ba988489
144229989568c
152141cd64e1a
hex117ef7733fc

1202313442300 has 144 divisors (see below), whose sum is σ = 2702054557440. Its totient is φ = 464011683840.

The previous prime is 1202313442163. The next prime is 1202313442301. The reversal of 1202313442300 is 32443132021.

It is a super-2 number, since 2×12023134423002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202313442301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221949192 + ... + 221954608.

It is an arithmetic number, because the mean of its divisors is an integer number (18764267760).

Almost surely, 21202313442300 is an apocalyptic number.

1202313442300 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 1202313442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351027278720).

1202313442300 is an abundant number, since it is smaller than the sum of its proper divisors (1499741115140).

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

1202313442300 is a wasteful number, since it uses less digits than its factorization.

1202313442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1202313442300 its reverse (32443132021), we get a palindrome (1234756574321).

The spelling of 1202313442300 in words is "one trillion, two hundred two billion, three hundred thirteen million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 223 269 370 446 538 740 892 925 1076 1115 1345 1850 2230 2690 3700 4460 5380 5417 5575 6725 8251 9953 10834 11150 13450 16502 19906 21668 22300 26900 27085 33004 39812 41255 49765 54170 59987 82510 99530 108340 119974 135425 165020 199060 200429 206275 239948 248825 270850 299935 400858 412550 497650 541700 599870 801716 825100 995300 1002145 1199740 1207991 1457173 1499675 2004290 2219519 2415982 2914346 2999350 4008580 4439038 4831964 5010725 5828692 5998700 6039955 7285865 8878076 10021450 11097595 12079910 14571730 20042900 22195190 24159820 29143460 30199775 36429325 44390380 44695667 53915401 55487975 60399550 72858650 89391334 107830802 110975950 120799100 145717300 178782668 215661604 221951900 223478335 269577005 324949579 446956670 539154010 649899158 893913340 1078308020 1117391675 1299798316 1347885025 1624747895 2234783350 2695770050 3249495790 4469566700 5391540100 6498991580 8123739475 12023134423 16247478950 24046268846 32494957900 48092537692 60115672115 120231344230 240462688460 300578360575 601156721150 1202313442300