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131141100000420 = 2232523144967218509
BaseRepresentation
bin11101110100010110101010…
…101011100101010010100100
3122012022222002201222101220100
4131310112222223211102210
5114142103433100003140
61142525220055104100
736423426465524226
oct3564265253452244
9565288081871810
10131141100000420
11388706a0121914
1212860035072030
135823725293923
142455397d72416
1510264333b7530
hex7745aaae54a4

131141100000420 has 144 divisors (see below), whose sum is σ = 415094853438720. Its totient is φ = 33450099648768.

The previous prime is 131141100000403. The next prime is 131141100000431. The reversal of 131141100000420 is 24000001141131.

131141100000420 is a `hidden beast` number, since 1 + 3 + 1 + 141 + 100 + 0 + 0 + 0 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131141100000393 and 131141100000402.

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, 600054126 + ... + 600272634.

It is an arithmetic number, because the mean of its divisors is an integer number (2882603148880).

Almost surely, 2131141100000420 is an apocalyptic number.

131141100000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141100000420 is an abundant number, since it is smaller than the sum of its proper divisors (283953753438300).

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

131141100000420 is a wasteful number, since it uses less digits than its factorization.

131141100000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363514 (or 363509 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131141100000420 its reverse (24000001141131), we get a palindrome (155141101141551).

The spelling of 131141100000420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 144967 218509 289934 434901 437018 579868 655527 724835 869802 874036 1092545 1304703 1311054 1449670 1739604 1966581 2174505 2185090 2609406 2622108 2899340 3277635 3334241 3933162 4349010 4370180 5025707 5218812 6523515 6555270 6668482 7866324 8698020 9832905 10002723 10051414 13047030 13110540 13336964 15077121 16671205 19665810 20005446 20102828 25128535 26094060 30008169 30154242 33342410 39331620 40010892 45231363 50013615 50257070 60016338 60308484 66684820 75385605 90462726 100027230 100514140 120032676 150040845 150771210 180925452 200054460 226156815 300081690 301542420 452313630 600163380 904627260 31676594203 63353188406 95029782609 126706376812 158382971015 190059565218 285089347827 316765942030 380119130436 475148913045 570178695654 633531884060 728561666669 950297826090 1140357391308 1425446739135 1457123333338 1900595652180 2185685000007 2850893478270 2914246666676 3642808333345 4371370000014 5701786956540 6557055000021 7285616666690 8742740000028 10928425000035 13114110000042 14571233333380 21856850000070 26228220000084 32785275000105 43713700000140 65570550000210 131141100000420