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252003286142120 = 235103497312299587
BaseRepresentation
bin111001010011001000010110…
…010110100100110010101000
31020001021021112022002111012202
4321103020112112210302220
5231012310212223021440
62251544413401155332
7104036431232221202
oct7123102626446250
91201237468074182
10252003286142120
1173328aa2351457
122431bb1278bb48
13aa7ca66cb59c6
14463304a2cb772
151e202b5443615
hexe532165a4ca8

252003286142120 has 64 divisors (see below), whose sum is σ = 572627490664320. Its totient is φ = 99802579878144.

The previous prime is 252003286142117. The next prime is 252003286142173. The reversal of 252003286142120 is 21241682300252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14338967 + ... + 26638553.

It is an arithmetic number, because the mean of its divisors is an integer number (8947304541630).

Almost surely, 2252003286142120 is an apocalyptic number.

252003286142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252003286142120 is an abundant number, since it is smaller than the sum of its proper divisors (320624204522200).

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

252003286142120 is a wasteful number, since it uses less digits than its factorization.

252003286142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12304674 (or 12304670 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 252003286142120 in words is "two hundred fifty-two trillion, three billion, two hundred eighty-six million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 4973 9946 19892 24865 39784 49730 99460 198920 512219 1024438 2048876 2561095 4097752 5122190 10244380 12299587 20488760 24599174 49198348 61497935 98396696 122995870 245991740 491983480 1266857461 2533714922 5067429844 6334287305 10134859688 12668574610 25337149220 50674298440 61165846151 122331692302 244663384604 305829230755 489326769208 611658461510 1223316923020 2446633846040 6300082153553 12600164307106 25200328614212 31500410767765 50400657228424 63000821535530 126001643071060 252003286142120