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42102110232 = 23337132141947
BaseRepresentation
bin100111001101011110…
…110011100000011000
311000200011112210122000
4213031132303200120
51142211120011412
631201430201000
73020221014030
oct471536634030
9130604483560
1042102110232
11169455a8626
1281abab3160
133c7c72ba80
1420758468c0
1511663194dc
hex9cd7b3818

42102110232 has 128 divisors (see below), whose sum is σ = 143938905600. Its totient is φ = 11103848064.

The previous prime is 42102110221. The next prime is 42102110329. The reversal of 42102110232 is 23201120124.

It is a happy number.

42102110232 is a `hidden beast` number, since 421 + 0 + 2 + 1 + 10 + 232 = 666.

42102110232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 1051318 + ... + 1090629.

It is an arithmetic number, because the mean of its divisors is an integer number (1124522700).

Almost surely, 242102110232 is an apocalyptic number.

42102110232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42102110232 is an abundant number, since it is smaller than the sum of its proper divisors (101836795368).

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

42102110232 is a wasteful number, since it uses less digits than its factorization.

42102110232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141982 (or 2141972 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42102110232 its reverse (23201120124), we get a palindrome (65303230356).

The spelling of 42102110232 in words is "forty-two billion, one hundred two million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 2141947 4283894 6425841 8567788 12851682 14993629 17135576 19277523 25703364 27845311 29987258 38555046 44980887 51406728 55690622 57832569 59974516 77110092 83535933 89961774 111381244 115665138 119949032 134942661 154220184 167071866 179923548 194917177 222762488 231330276 250607799 269885322 334143732 359847096 389834354 404827983 462660552 501215598 539770644 584751531 668287464 751823397 779668708 809655966 1002431196 1079541288 1169503062 1503646794 1559337416 1619311932 1754254593 2004862392 2339006124 3007293588 3238623864 3508509186 4678012248 5262763779 6014587176 7017018372 10525527558 14034036744 21051055116 42102110232