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1030552541312 = 2772946385661
BaseRepresentation
bin11101111111100011011…
…01111101100010000000
310122112000222102100001012
432333301231331202000
5113341032422310222
62105232421300052
7134312024032340
oct16776155754200
93575028370035
101030552541312
11368067052438
12147889b64628
1376246c80a58
1437c44002d20
151bc18b361e2
hexeff1b7d880

1030552541312 has 128 divisors (see below), whose sum is σ = 2432526681600. Its totient is φ = 425509539840.

The previous prime is 1030552541311. The next prime is 1030552541321. The reversal of 1030552541312 is 2131452550301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1030552541311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11987762 + ... + 12073422.

It is an arithmetic number, because the mean of its divisors is an integer number (19004114700).

Almost surely, 21030552541312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030552541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216263340800).

1030552541312 is an abundant number, since it is smaller than the sum of its proper divisors (1401974140288).

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

1030552541312 is an equidigital number, since it uses as much as digits as its factorization.

1030552541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86174 (or 86162 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 1030552541312 in words is "one trillion, thirty billion, five hundred fifty-two million, five hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 463 464 812 896 926 928 1624 1852 1856 3241 3248 3704 3712 6482 6496 7408 12964 12992 13427 14816 25928 25984 26854 29632 51856 53708 59264 85661 93989 103712 107416 171322 187978 207424 214832 342644 375956 414848 429664 599627 685288 751912 859328 1199254 1370576 1503824 1718656 2398508 2484169 2741152 3007648 4797016 4968338 5482304 6015296 9594032 9936676 10964608 12030592 17389183 19188064 19873352 34778366 38376128 39661043 39746704 69556732 76752256 79322086 79493408 139113464 158644172 158986816 277627301 278226928 317288344 317973632 555254602 556453856 634576688 1110509204 1112907712 1150170247 1269153376 2221018408 2225815424 2300340494 2538306752 4442036816 4600680988 5076613504 8051191729 8884073632 9201361976 16102383458 17768147264 18402723952 32204766916 35536294528 36805447904 64409533832 73610895808 128819067664 147221791616 257638135328 515276270656 1030552541312