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34121131203420 = 22325269374599437
BaseRepresentation
bin1111100001000011100011…
…11001111001101101011100
311110210221121022010011021200
413300201301321321231130
513433020034042002140
6200323010431155500
710121112303551022
oct760416171715534
9143727538104250
1034121131203420
11a9657660346a8
1239b0aa1975b90
1316067bb8a9681
1485d685d74712
153e28801d6030
hex1f0871e79b5c

34121131203420 has 144 divisors (see below), whose sum is σ = 103564052111520. Its totient is φ = 9093406468608.

The previous prime is 34121131203409. The next prime is 34121131203443. The reversal of 34121131203420 is 2430213112143.

34121131203420 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 1 + 1 + 31 + 203 + 420 = 666.

It is a congruent number.

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, 3615670942 + ... + 3615680378.

It is an arithmetic number, because the mean of its divisors is an integer number (719194806330).

Almost surely, 234121131203420 is an apocalyptic number.

34121131203420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34121131203420 is an abundant number, since it is smaller than the sum of its proper divisors (69442920908100).

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

34121131203420 is a wasteful number, since it uses less digits than its factorization.

34121131203420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19604 (or 19599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34121131203420 its reverse (2430213112143), we get a palindrome (36551344315563).

The spelling of 34121131203420 in words is "thirty-four trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2693 5386 7459 8079 9437 10772 13465 14918 16158 18874 22377 24237 26930 28311 29836 32316 37295 37748 40395 44754 47185 48474 53860 56622 67131 74590 80790 84933 89508 94370 96948 111885 113244 121185 134262 141555 149180 161580 169866 188740 223770 242370 268524 283110 335655 339732 424665 447540 484740 566220 671310 849330 1342620 1698660 20087087 25413841 40174174 50827682 60261261 70390583 76241523 80348348 100435435 101655364 120522522 127069205 140781166 152483046 180783783 200870870 211171749 228724569 241045044 254138410 281562332 301306305 304966092 351952915 361567566 381207615 401741740 422343498 457449138 508276820 602612610 633515247 703905830 723135132 762415230 844686996 903918915 914898276 1055858745 1143622845 1205225220 1267030494 1407811660 1524830460 1807837830 2111717490 2287245690 2534060988 3167576235 3615675660 4223434980 4574491380 6335152470 12670304940 189561840019 379123680038 568685520057 758247360076 947809200095 1137371040114 1706056560171 1895618400190 2274742080228 2843427600285 3412113120342 3791236800380 5686855200570 6824226240684 8530282800855 11373710401140 17060565601710 34121131203420