Search a number
-
+
1202112320010 = 235722269360407
BaseRepresentation
bin10001011111100011011…
…110100101001000001010
311020220212021102002021220
4101133203132211020022
5124143411223220020
62320124234542510
7152564315061300
oct21374336451012
94226767362256
101202112320010
114238a407a408
12174b88b97a36
13894880ca3c4
144227aca0270
152140a388240
hex117e37a520a

1202112320010 has 96 divisors (see below), whose sum is σ = 3357589760640. Its totient is φ = 274646671488.

The previous prime is 1202112319907. The next prime is 1202112320023. The reversal of 1202112320010 is 100232112021.

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

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, 3155227 + ... + 3515633.

It is an arithmetic number, because the mean of its divisors is an integer number (34974893340).

Almost surely, 21202112320010 is an apocalyptic number.

1202112320010 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 1202112320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678794880320).

1202112320010 is an abundant number, since it is smaller than the sum of its proper divisors (2155477440630).

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

1202112320010 is a wasteful number, since it uses less digits than its factorization.

1202112320010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362700 (or 362693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1202112320010 its reverse (100232112021), we get a palindrome (1302344432031).

The spelling of 1202112320010 in words is "one trillion, two hundred two billion, one hundred twelve million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2269 4538 6807 11345 13614 15883 22690 31766 34035 47649 68070 79415 95298 111181 158830 222362 238245 333543 360407 476490 555905 667086 720814 1081221 1111810 1667715 1802035 2162442 2522849 3335430 3604070 5045698 5406105 7568547 10812210 12614245 15137094 17659943 25228490 35319886 37842735 52979829 75685470 88299715 105959658 176599430 264899145 529798290 817763483 1635526966 2453290449 4088817415 4906580898 5724344381 8177634830 11448688762 12266452245 17173033143 24532904490 28621721905 34346066286 40070410667 57243443810 80140821334 85865165715 120211232001 171730331430 200352053335 240422464002 400704106670 601056160005 1202112320010