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3413144324100 = 2235277322264477
BaseRepresentation
bin110001101010101111010…
…000010100100000000100
3110002021220220012111100110
4301222233100110200010
5421410104421332400
611131551000113020
7501406620032520
oct61525720244004
913067826174313
103413144324100
1110a6562a99345
124715a7165770
131b9b204024c4
14bb2a8a72d80
155dbb509be50
hex31aaf414804

3413144324100 has 144 divisors (see below), whose sum is σ = 11440735607168. Its totient is φ = 769460290560.

The previous prime is 3413144324077. The next prime is 3413144324113. The reversal of 3413144324100 is 14234413143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10978939 + ... + 11285538.

Almost surely, 23413144324100 is an apocalyptic number.

3413144324100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413144324100 is an abundant number, since it is smaller than the sum of its proper divisors (8027591283068).

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

3413144324100 is a wasteful number, since it uses less digits than its factorization.

3413144324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22264574 (or 22264567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3413144324100 its reverse (14234413143), we get a palindrome (3427378737243).

The spelling of 3413144324100 in words is "three trillion, four hundred thirteen billion, one hundred forty-four million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 210 219 292 300 350 365 420 438 511 525 700 730 876 1022 1050 1095 1460 1533 1825 2044 2100 2190 2555 3066 3650 4380 5110 5475 6132 7300 7665 10220 10950 12775 15330 21900 25550 30660 38325 51100 76650 153300 22264477 44528954 66793431 89057908 111322385 133586862 155851339 222644770 267173724 311702678 333967155 445289540 467554017 556611925 623405356 667934310 779256695 935108034 1113223850 1335868620 1558513390 1625306821 1669835775 1870216068 2226447700 2337770085 3117026780 3250613642 3339671550 3896283475 4675540170 4875920463 6501227284 6679343100 7792566950 8126534105 9351080340 9751840926 11377147747 11688850425 15585133900 16253068210 19503681852 22754295494 23377700850 24379602315 32506136420 34131443241 40632670525 45508590988 46755401700 48759204630 56885738735 68262886482 81265341050 97518409260 113771477470 121898011575 136525772964 162530682100 170657216205 227542954940 243796023150 284428693675 341314432410 487592046300 568857387350 682628864820 853286081025 1137714774700 1706572162050 3413144324100