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130233120102144 = 283322783002631
BaseRepresentation
bin11101100111001001000010…
…110111001001011100000000
3122002010011110001121111011000
4131213021002313021130000
5114032214412221232034
61140552134110452000
736301014056655153
oct3547110267113400
9562104401544130
10130233120102144
1138550613144374
1212734074504000
135788c134b2227
142423460c35c9a
15100c9e0511599
hex767242dc9700

130233120102144 has 144 divisors (see below), whose sum is σ = 386818825962240. Its totient is φ = 43219801451520.

The previous prime is 130233120102131. The next prime is 130233120102149. The reversal of 130233120102144 is 441201021332031.

130233120102144 is a `hidden beast` number, since 1 + 302 + 3 + 312 + 0 + 1 + 0 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130233120102149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39932292 + ... + 43070339.

It is an arithmetic number, because the mean of its divisors is an integer number (2686241846960).

Almost surely, 2130233120102144 is an apocalyptic number.

It is an amenable number.

130233120102144 is an abundant number, since it is smaller than the sum of its proper divisors (256585705860096).

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

130233120102144 is an equidigital number, since it uses as much as digits as its factorization.

130233120102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83002883 (or 83002863 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130233120102144 its reverse (441201021332031), we get a palindrome (571434141434175).

The spelling of 130233120102144 in words is "one hundred thirty trillion, two hundred thirty-three billion, one hundred twenty million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 227 256 288 384 432 454 576 681 768 864 908 1152 1362 1728 1816 2043 2304 2724 3456 3632 4086 5448 6129 6912 7264 8172 10896 12258 14528 16344 21792 24516 29056 32688 43584 49032 58112 65376 87168 98064 130752 174336 196128 261504 392256 523008 784512 1569024 83002631 166005262 249007893 332010524 498015786 664021048 747023679 996031572 1328042096 1494047358 1992063144 2241071037 2656084192 2988094716 3984126288 4482142074 5312168384 5976189432 7968252576 8964284148 10624336768 11952378864 15936505152 17928568296 18841597237 21248673536 23904757728 31873010304 35857136592 37683194474 47809515456 56524791711 63746020608 71714273184 75366388948 95619030912 113049583422 143428546368 150732777896 169574375133 191238061824 226099166844 286857092736 301465555792 339148750266 452198333688 508723125399 573714185472 602931111584 678297500532 904396667376 1017446250798 1205862223168 1356595001064 1808793334752 2034892501596 2411724446336 2713190002128 3617586669504 4069785003192 4823448892672 5426380004256 7235173339008 8139570006384 10852760008512 14470346678016 16279140012768 21705520017024 32558280025536 43411040034048 65116560051072 130233120102144