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341413430100 = 2235219292065417
BaseRepresentation
bin1001111011111011101…
…00111000001101010100
31012122020200121020211120
410331331310320031110
521043203314230400
6420502042403540
733444354162531
oct4757564701524
91178220536746
10341413430100
11121879a87296
12562028005b0
132626c982832
141274b319d88
158d332deca0
hex4f7dd38354

341413430100 has 144 divisors (see below), whose sum is σ = 1075669694400. Its totient is φ = 83277573120.

The previous prime is 341413430093. The next prime is 341413430101. The reversal of 341413430100 is 1034314143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341413430101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867409 + ... + 1198008.

Almost surely, 2341413430100 is an apocalyptic number.

341413430100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341413430100 is an abundant number, since it is smaller than the sum of its proper divisors (734256264300).

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

341413430100 is a wasteful number, since it uses less digits than its factorization.

341413430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065482 (or 2065475 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 341413430100 its reverse (1034314143), we get a palindrome (342447744243).

The spelling of 341413430100 in words is "three hundred forty-one billion, four hundred thirteen million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 29 30 38 50 57 58 60 75 76 87 95 100 114 116 145 150 174 190 228 285 290 300 348 380 435 475 551 570 580 725 870 950 1102 1140 1425 1450 1653 1740 1900 2175 2204 2755 2850 2900 3306 4350 5510 5700 6612 8265 8700 11020 13775 16530 27550 33060 41325 55100 82650 165300 2065417 4130834 6196251 8261668 10327085 12392502 20654170 24785004 30981255 39242923 41308340 51635425 59897093 61962510 78485846 103270850 117728769 119794186 123925020 154906275 156971692 179691279 196214615 206541700 235457538 239588372 299485465 309812550 359382558 392429230 470915076 588643845 598970930 619625100 718765116 784858460 898456395 981073075 1138044767 1177287690 1197941860 1497427325 1796912790 1962146150 2276089534 2354575380 2943219225 2994854650 3414134301 3593825580 3924292300 4492281975 4552179068 5690223835 5886438450 5989709300 6828268602 8984563950 11380447670 11772876900 13656537204 17070671505 17969127900 22760895340 28451119175 34141343010 56902238350 68282686020 85353357525 113804476700 170706715050 341413430100