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340003200023100 = 2232523710210306307
BaseRepresentation
bin100110101001110110010100…
…1111101011011101000111100
31122120211222200121021121121200
41031103230221331123220330
5324031103023201214400
63203043151440055500
7131421264153351165
oct11523545175335074
91576758617247550
10340003200023100
1199376602603289
1232172a93904590
1311794219948773
145dd6357d0476c
1529493e4480b00
hex1353b29f5ba3c

340003200023100 has 108 divisors (see below), whose sum is σ = 1094524415604984. Its totient is φ = 88217046483840.

The previous prime is 340003200023077. The next prime is 340003200023107. The reversal of 340003200023100 is 1320002300043.

340003200023100 is a `hidden beast` number, since 3 + 400 + 0 + 32 + 0 + 0 + 0 + 231 + 0 + 0 = 666.

It is a super-2 number, since 2×3400032000231002 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340003200023107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5105119854 + ... + 5105186453.

Almost surely, 2340003200023100 is an apocalyptic number.

340003200023100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340003200023100 is an abundant number, since it is smaller than the sum of its proper divisors (754521215581884).

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

340003200023100 is a wasteful number, since it uses less digits than its factorization.

340003200023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10210306364 (or 10210306354 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 340003200023100 its reverse (1320002300043), we get a palindrome (341323202323143).

The spelling of 340003200023100 in words is "three hundred forty trillion, three billion, two hundred million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 10210306307 20420612614 30630918921 40841225228 51051531535 61261837842 91892756763 102103063070 122523675684 153154594605 183785513526 204206126140 255257657675 306309189210 367571027052 377781333359 459463783815 510515315350 612618378420 755562666718 765772973025 918927567630 1021030630700 1133344000077 1511125333436 1531545946050 1837855135260 1888906666795 2266688000154 2297318919075 3063091892100 3400032000231 3777813333590 4533376000308 4594637838150 5666720000385 6800064000462 7555626667180 9189275676300 9444533333975 11333440000770 13600128000924 17000160001155 18889066667950 22666880001540 28333600001925 34000320002310 37778133335900 56667200003850 68000640004620 85000800005775 113334400007700 170001600011550 340003200023100