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2124120252330 = 232553949146919
BaseRepresentation
bin11110111010001111011…
…011101101111110101010
321112001201120222222002200
4132322033123231332222
5234300144241033310
64303450220441030
7306314452145646
oct36721733557652
97461646888080
102124120252330
1174991a56351a
122a38036a9176
131253c4254b6b
1474b450cdc26
153a3bea5d9c0
hex1ee8f6edfaa

2124120252330 has 96 divisors (see below), whose sum is σ = 5627627591040. Its totient is φ = 555674271360.

The previous prime is 2124120252251. The next prime is 2124120252379. The reversal of 2124120252330 is 332520214212.

2124120252330 is a `hidden beast` number, since 2 + 12 + 4 + 120 + 2 + 523 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2124120252294 and 2124120252303.

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, 45248611 + ... + 45295529.

It is an arithmetic number, because the mean of its divisors is an integer number (58621120740).

Almost surely, 22124120252330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124120252330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813813795520).

2124120252330 is an abundant number, since it is smaller than the sum of its proper divisors (3503507338710).

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

2124120252330 is a wasteful number, since it uses less digits than its factorization.

2124120252330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56476 (or 56473 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2124120252330 its reverse (332520214212), we get a palindrome (2456640466542).

The spelling of 2124120252330 in words is "two trillion, one hundred twenty-four billion, one hundred twenty million, two hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 9491 18982 28473 46919 47455 56946 85419 93838 94910 140757 142365 170838 234595 281514 284730 422271 427095 469190 503023 703785 844542 854190 1006046 1407570 1509069 2111355 2486707 2515115 3018138 4222710 4527207 4973414 5030230 7460121 7545345 9054414 12433535 14920242 15090690 22380363 22636035 24867070 37300605 44760726 45272070 74601210 111901815 223803630 445308229 890616458 1335924687 2226541145 2671849374 4007774061 4453082290 6679623435 8015548122 13359246870 20038870305 23601336137 40077740610 47202672274 70804008411 118006680685 141608016822 212412025233 236013361370 354020042055 424824050466 708040084110 1062060126165 2124120252330