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10131314201010 = 23253719463156319
BaseRepresentation
bin1001001101101110000101…
…1000100101000110110010
31022212112200201001211022200
42103123201120211012302
52311442412413413020
633314132252044030
72063651260546422
oct223334130450662
938775621054280
1010131314201010
11325673681a892
121177624763616
135864c039aa92
14270502d74482
1512881334e590
hex936e16251b2

10131314201010 has 96 divisors (see below), whose sum is σ = 27054910172160. Its totient is φ = 2628513431424.

The previous prime is 10131314200991. The next prime is 10131314201023. The reversal of 10131314201010 is 1010241313101.

It is a happy number.

10131314201010 is a `hidden beast` number, since 1 + 0 + 13 + 131 + 420 + 101 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 64733631 + ... + 64889949.

It is an arithmetic number, because the mean of its divisors is an integer number (281821980960).

Almost surely, 210131314201010 is an apocalyptic number.

10131314201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131314201010 is an abundant number, since it is smaller than the sum of its proper divisors (16923595971150).

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

10131314201010 is a wasteful number, since it uses less digits than its factorization.

10131314201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175832 (or 175829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131314201010 its reverse (1010241313101), we get a palindrome (11141555514111).

The spelling of 10131314201010 in words is "ten trillion, one hundred thirty-one billion, three hundred fourteen million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 19463 38926 58389 97315 116778 156319 175167 194630 291945 312638 350334 468957 583890 720131 781595 875835 937914 1406871 1440262 1563190 1751670 2160393 2344785 2813742 3600655 4320786 4689570 5783803 6481179 7034355 7201310 10801965 11567606 12962358 14068710 17351409 21603930 28919015 32405895 34702818 52054227 57838030 64811790 86757045 104108454 173514090 260271135 520542270 3042436697 6084873394 9127310091 15212183485 18254620182 27381930273 30424366970 45636550455 54763860546 91273100910 112570157789 136909651365 225140315578 273819302730 337710473367 562850788945 675420946734 1013131420101 1125701577890 1688552366835 2026262840202 3377104733670 5065657100505 10131314201010