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102142120414010 = 254113711091639717
BaseRepresentation
bin10111001110010111010000…
…110011011100101100111010
3111101122200122222210110012012
4113032113100303130230322
5101341444030311222020
61001123235313245522
730341344651215545
oct2716272063345472
9441580588713165
10102142120414010
112a600259152576
12b5579b15638a2
1344cbc64656b41
141b319c277185c
15bc1e3e7197c5
hex5ce5d0cdcb3a

102142120414010 has 64 divisors (see below), whose sum is σ = 189886034449440. Its totient is φ = 39533683937280.

The previous prime is 102142120414003. The next prime is 102142120414027. The reversal of 102142120414010 is 10414021241201.

It can be written as a sum of positive squares in 16 ways, for example, as 220395508369 + 101921724905641 = 469463^2 + 10095629^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61472672 + ... + 63112388.

Almost surely, 2102142120414010 is an apocalyptic number.

102142120414010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102142120414010 is a deficient number, since it is larger than the sum of its proper divisors (87743914035430).

102142120414010 is a wasteful number, since it uses less digits than its factorization.

102142120414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641011.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 102142120414010 its reverse (10414021241201), we get a palindrome (112556141655211).

The spelling of 102142120414010 in words is "one hundred two trillion, one hundred forty-two billion, one hundred twenty million, four hundred fourteen thousand, ten".

Divisors: 1 2 5 10 41 82 137 205 274 410 685 1109 1370 2218 5545 5617 11090 11234 28085 45469 56170 90938 151933 227345 303866 454690 759665 1519330 1639717 3279434 6229253 8198585 12458506 16397170 31146265 62292530 67228397 134456794 224641229 336141985 449282458 672283970 1123206145 1818446153 2246412290 3636892306 9092230765 9210290389 18184461530 18420580778 46051451945 74556292273 92102903890 149112584546 249127122961 372781461365 498254245922 745562922730 1245635614805 2491271229610 10214212041401 20428424082802 51071060207005 102142120414010