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102242410113144 = 233713031667280183
BaseRepresentation
bin10111001111110100101010…
…100010010010100001111000
3111102000021112100120000221110
4113033310222202102201320
5101400114423442110034
61001241303105440320
730351525143462130
oct2717645242224170
9442007470500843
10102242410113144
112a639843066944
12b5733203400a0
134508558198892
141b367b8083ac0
15bc485e0cade9
hex5cfd2a892878

102242410113144 has 128 divisors (see below), whose sum is σ = 292521779159040. Its totient is φ = 29172083617152.

The previous prime is 102242410113049. The next prime is 102242410113229. The reversal of 102242410113144 is 441311014242201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 364772877 + ... + 365053059.

It is an arithmetic number, because the mean of its divisors is an integer number (2285326399680).

Almost surely, 2102242410113144 is an apocalyptic number.

102242410113144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102242410113144 is an abundant number, since it is smaller than the sum of its proper divisors (190279369045896).

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

102242410113144 is a wasteful number, since it uses less digits than its factorization.

102242410113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283169 (or 283165 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 102242410113144 its reverse (441311014242201), we get a palindrome (543553424355345).

The spelling of 102242410113144 in words is "one hundred two trillion, two hundred forty-two billion, four hundred ten million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1303 1667 2606 3334 3909 5001 5212 6668 7818 9121 10002 10424 11669 13336 15636 18242 20004 23338 27363 31272 35007 36484 40008 46676 54726 70014 72968 93352 109452 140028 218904 280056 280183 560366 840549 1120732 1681098 1961281 2172101 2241464 3362196 3922562 4344202 5883843 6516303 6724392 7845124 8688404 11767686 13032606 15204707 15690248 17376808 23535372 26065212 30409414 45614121 47070744 52130424 60818828 91228242 121637656 182456484 364912968 365078449 467065061 730156898 934130122 1095235347 1401195183 1460313796 1868260244 2190470694 2555549143 2802390366 2920627592 3269455427 3736520488 4380941388 5111098286 5604780732 6538910854 7666647429 8761882776 9808366281 10222196572 11209561464 13077821708 15333294858 19616732562 20444393144 26155643416 30666589716 39233465124 61333179432 78466930248 608585774483 1217171548966 1825757323449 2434343097932 3651514646898 4260100421381 4868686195864 7303029293796 8520200842762 12780301264143 14606058587592 17040401685524 25560602528286 34080803371048 51121205056572 102242410113144