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4102202403312 = 2431319352798101
BaseRepresentation
bin111011101100011110010…
…100010010100111110000
3112112011111112112201112220
4323230132110102213300
51014202302303401222
612420305322121040
7602242254050406
oct73543624224760
915464445481486
104102202403312
1113418093489a2
1256304b350180
13239ab399b6b0
14102794aa5476
1571a93738b5c
hex3bb1e5129f0

4102202403312 has 160 divisors (see below), whose sum is σ = 12016725880320. Its totient is φ = 1195432473600.

The previous prime is 4102202403307. The next prime is 4102202403367. The reversal of 4102202403312 is 2133042022014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 41767062 + ... + 41865162.

It is an arithmetic number, because the mean of its divisors is an integer number (75104536752).

Almost surely, 24102202403312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102202403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008362940160).

4102202403312 is an abundant number, since it is smaller than the sum of its proper divisors (7914523477008).

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

4102202403312 is a wasteful number, since it uses less digits than its factorization.

4102202403312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101671 (or 101665 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4102202403312 its reverse (2133042022014), we get a palindrome (6235244425326).

The spelling of 4102202403312 in words is "four trillion, one hundred two billion, two hundred two million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3527 3952 5928 7054 10581 11856 14108 21162 28216 42324 45851 56432 67013 84648 91702 98101 134026 137553 169296 183404 196202 201039 268052 275106 294303 366808 392404 402078 536104 550212 588606 733616 784808 804156 871169 1072208 1100424 1177212 1275313 1569616 1608312 1742338 1863919 2200848 2354424 2550626 2613507 3216624 3484676 3727838 3825939 4708848 5101252 5227014 5591757 6969352 7455676 7651878 10202504 10454028 11183514 13938704 14911352 15303756 20405008 20908056 22367028 24230947 29822704 30607512 41816112 44734056 48461894 61215024 72692841 89468112 96923788 145385682 193847576 290771364 346002227 387695152 581542728 692004454 1038006681 1163085456 1384008908 2076013362 2768017816 4152026724 4498028951 5536035632 6574042313 8304053448 8996057902 13148084626 13494086853 16608106896 17992115804 19722126939 26296169252 26988173706 35984231608 39444253878 52592338504 53976347412 71968463216 78888507756 85462550069 105184677008 107952694824 157777015512 170925100138 215905389648 256387650207 315554031024 341850200276 512775300414 683700400552 1025550600828 1367400801104 2051101201656 4102202403312