Search a number
-
+
131213004421240 = 23572201827331697
BaseRepresentation
bin11101110101011001101000…
…100001001011100001111000
3122012120211200212211110000101
4131311121220201023201320
5114144243213112434430
61143022231100245144
736431553366155200
oct3565315041134170
9565524625743011
10131213004421240
1138899139309495
1212871b618407b4
13582a44412c0b1
142458a59883400
151028240caadca
hex77566884b878

131213004421240 has 96 divisors (see below), whose sum is σ = 343432692432720. Its totient is φ = 44986957274112.

The previous prime is 131213004421229. The next prime is 131213004421253. The reversal of 131213004421240 is 42124400312131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131213004421199 and 131213004421208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395415072 + ... + 395746768.

Almost surely, 2131213004421240 is an apocalyptic number.

131213004421240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213004421240 is an abundant number, since it is smaller than the sum of its proper divisors (212219688011480).

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

131213004421240 is a wasteful number, since it uses less digits than its factorization.

131213004421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533549 (or 533538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131213004421240 its reverse (42124400312131), we get a palindrome (173337404733371).

The spelling of 131213004421240 in words is "one hundred thirty-one trillion, two hundred thirteen billion, four million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 201827 331697 403654 663394 807308 1009135 1326788 1412789 1614616 1658485 2018270 2321879 2653576 2825578 3316970 4036540 4643758 5651156 6633940 7063945 8073080 9287516 9889523 11302312 11609395 13267880 14127890 16253153 18575032 19779046 23218790 28255780 32506306 39558092 46437580 49447615 56511560 65012612 79116184 81265765 92875160 98895230 130025224 162531530 197790460 325063060 395580920 650126120 66945410419 133890820838 267781641676 334727052095 468617872933 535563283352 669454104190 937235745866 1338908208380 1874471491732 2343089364665 2677816416760 3280325110531 3748942983464 4686178729330 6560650221062 9372357458660 13121300442124 16401625552655 18744714917320 26242600884248 32803251105310 65606502210620 131213004421240