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343144230053130 = 2325111487233093701
BaseRepresentation
bin100111000000101100111110…
…1111100000110010100001010
31122222222021020101102201101100
41032001121331330012110022
5324434033340343200010
63213450141050402230
7132164231623160502
oct11601317574062412
91588867211381340
10343144230053130
119a377718127990
123259b798430376
131196149256037c
1460a43ab152a02
1529a0e8005a2c0
hex138167df0650a

343144230053130 has 96 divisors (see below), whose sum is σ = 973936347441408. Its totient is φ = 83130537168000.

The previous prime is 343144230053117. The next prime is 343144230053143. The reversal of 343144230053130 is 31350032441343.

343144230053130 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 442 + 30 + 0 + 53 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (343144230053117) and next prime (343144230053143).

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 47 ways as a sum of consecutive naturals, for example, 115074721 + ... + 118018980.

It is an arithmetic number, because the mean of its divisors is an integer number (10145170285848).

Almost surely, 2343144230053130 is an apocalyptic number.

343144230053130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

343144230053130 is an abundant number, since it is smaller than the sum of its proper divisors (630792117388278).

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

343144230053130 is a wasteful number, since it uses less digits than its factorization.

343144230053130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233095212 (or 233095209 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 343144230053130 its reverse (31350032441343), we get a palindrome (374494262494473).

The spelling of 343144230053130 in words is "three hundred forty-three trillion, one hundred forty-four billion, two hundred thirty million, fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1487 2974 4461 7435 8922 13383 14870 16357 22305 26766 32714 44610 49071 66915 81785 98142 133830 147213 163570 245355 294426 490710 736065 1472130 233093701 466187402 699281103 1165468505 1398562206 2097843309 2330937010 2564030711 3496405515 4195686618 5128061422 6992811030 7692092133 10489216545 12820153555 15384184266 20978433090 23076276399 25640307110 38460460665 46152552798 76920921330 115381381995 230762763990 346610333387 693220666774 1039831000161 1733051666935 2079662000322 3119493000483 3466103333870 3812713667257 5199155000805 6238986000966 7625427334514 10398310001610 11438141001771 15597465002415 19063568336285 22876282003542 31194930004830 34314423005313 38127136672570 57190705008855 68628846010626 114381410017710 171572115026565 343144230053130