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4101003333042 = 23711229233166363
BaseRepresentation
bin111011101011010110110…
…110001100110110110010
3112112001101222021122100220
4323223112312030312302
51014142323323124132
612415550325553510
7602200454113620
oct73532666146662
915461358248326
104101003333042
111341253517730
12562975875896
13239952441465
141026bd738510
1571a23333a2c
hex3bad6d8cdb2

4101003333042 has 128 divisors (see below), whose sum is σ = 10314674472960. Its totient is φ = 1055986122240.

The previous prime is 4101003333041. The next prime is 4101003333059. The reversal of 4101003333042 is 2403333001014.

It is not an unprimeable number, because it can be changed into a prime (4101003333041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24567753 + ... + 24734115.

It is an arithmetic number, because the mean of its divisors is an integer number (80583394320).

Almost surely, 24101003333042 is an apocalyptic number.

4101003333042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101003333042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157337236480).

4101003333042 is an abundant number, since it is smaller than the sum of its proper divisors (6213671139918).

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

4101003333042 is a wasteful number, since it uses less digits than its factorization.

4101003333042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166848.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 4101003333042 its reverse (2403333001014), we get a palindrome (6504336334056).

The spelling of 4101003333042 in words is "four trillion, one hundred one billion, three million, three hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 229 231 233 458 462 466 687 699 1374 1398 1603 1631 2519 2563 3206 3262 4809 4893 5038 5126 7557 7689 9618 9786 15114 15378 17633 17941 35266 35882 52899 53357 53823 105798 106714 107646 160071 166363 320142 332726 373499 499089 586927 746998 998178 1120497 1164541 1173854 1760781 1829993 2240994 2329082 3493623 3521562 3659986 4108489 5489979 6987246 8216978 10979958 12325467 12809951 24650934 25619902 38097127 38429853 38762579 76194254 76859706 77525158 114291381 116287737 228582762 232575474 266679889 271338053 419068397 426388369 533359778 542676106 800039667 814014159 838136794 852776738 1257205191 1279165107 1600079334 1628028318 2514410382 2558330214 2933478779 2984718583 5866957558 5969437166 8800436337 8876630591 8954155749 17600872674 17753261182 17908311498 26629891773 53259783546 62136414137 97642936501 124272828274 186409242411 195285873002 292928809503 372818484822 585857619006 683500555507 1367001111014 2050501666521 4101003333042