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102541222542 = 231143157230137
BaseRepresentation
bin101111101111111101…
…1101110001010001110
3100210200021101211020010
41133133323232022032
53140001023110132
6115035022134050
710260032003403
oct1373773561216
9323607354203
10102541222542
113a53a935220
1217a58a21326
139892143015
144d6a7622aa
152a023a96cc
hex17dfeee28e

102541222542 has 64 divisors (see below), whose sum is σ = 230388390144. Its totient is φ = 30157021440.

The previous prime is 102541222457. The next prime is 102541222547. The reversal of 102541222542 is 245222145201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102541222547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330498 + ... + 560634.

It is an arithmetic number, because the mean of its divisors is an integer number (3599818596).

Almost surely, 2102541222542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102541222542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115194195072).

102541222542 is an abundant number, since it is smaller than the sum of its proper divisors (127847167602).

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

102541222542 is a wasteful number, since it uses less digits than its factorization.

102541222542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230353.

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 102541222542 its reverse (245222145201), we get a palindrome (347763367743).

The spelling of 102541222542 in words is "one hundred two billion, five hundred forty-one million, two hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 157 258 314 471 473 942 946 1419 1727 2838 3454 5181 6751 10362 13502 20253 40506 74261 148522 222783 230137 445566 460274 690411 1380822 2531507 5063014 7594521 9895891 15189042 19791782 29687673 36131509 59375346 72263018 108394527 108854801 216789054 217709602 326564403 397446599 653128806 794893198 1192339797 1553654887 2384679594 3107309774 4660964661 9321929322 17090203757 34180407514 51270611271 102541222542