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131012224203432 = 233111358991647111
BaseRepresentation
bin11101110010011110101001…
…000101011011101010101000
3122011212122110011102120220010
4131302132221011123222220
5114133001013344002212
61142350103535331520
736411215022365535
oct3562365105335250
9564778404376803
10131012224203432
1138820a77099090
121283b068980ba0
1358145272952a0
14244d04dd05d8c
151022dde0bb03c
hex7727a915baa8

131012224203432 has 128 divisors (see below), whose sum is σ = 384798265528320. Its totient is φ = 36646098144000.

The previous prime is 131012224203379. The next prime is 131012224203457. The reversal of 131012224203432 is 234302422210131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131012224203432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202133557 + ... + 202780667.

It is an arithmetic number, because the mean of its divisors is an integer number (3006236449440).

Almost surely, 2131012224203432 is an apocalyptic number.

131012224203432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131012224203432 is an abundant number, since it is smaller than the sum of its proper divisors (253786041324888).

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

131012224203432 is a wasteful number, since it uses less digits than its factorization.

131012224203432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706135 (or 706131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131012224203432 its reverse (234302422210131), we get a palindrome (365314646413563).

The spelling of 131012224203432 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 58991 117982 176973 235964 353946 471928 647111 648901 707892 766883 1294222 1297802 1415784 1533766 1941333 1946703 2300649 2588444 2595604 3067532 3882666 3893406 4601298 5176888 5191208 6135064 7118221 7765332 7786812 8412443 8435713 9202596 14236442 15530664 15573624 16824886 16871426 18405192 21354663 25237329 25307139 28472884 33649772 33742852 42709326 50474658 50614278 56945768 67299544 67485704 85418652 92536873 100949316 101228556 170837304 185073746 201898632 202457112 277610619 370147492 555221238 740294984 1110442476 2220884952 38173725001 76347450002 114521175003 152694900004 229042350006 305389800008 419910975011 458084700012 496258425013 839821950022 916169400024 992516850026 1259732925033 1488775275039 1679643900044 1985033700052 2519465850066 2977550550078 3359287800088 3970067400104 5038931700132 5458842675143 5955101100156 10077863400264 10917685350286 11910202200312 16376528025429 21835370700572 32753056050858 43670741401144 65506112101716 131012224203432