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11532130251140 = 22541137211486511
BaseRepresentation
bin1010011111010000100010…
…0001101111000110000100
31111211110102222121021010102
42213310020201233012010
53002420300321014030
640305442033343232
72300111636531402
oct247641041570604
944743388537112
1011532130251140
113746826980674
121363007107b18
13658624087145
142bc22dac6472
1514ee9ce56c45
hexa7d0886f184

11532130251140 has 96 divisors (see below), whose sum is σ = 25107708907008. Its totient is φ = 4446312192000.

The previous prime is 11532130251113. The next prime is 11532130251179. The reversal of 11532130251140 is 4115203123511.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23460485 + ... + 23946995.

It is an arithmetic number, because the mean of its divisors is an integer number (261538634448).

Almost surely, 211532130251140 is an apocalyptic number.

11532130251140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532130251140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553854453504).

11532130251140 is an abundant number, since it is smaller than the sum of its proper divisors (13575578655868).

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

11532130251140 is a wasteful number, since it uses less digits than its factorization.

11532130251140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486909 (or 486907 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 11532130251140 its reverse (4115203123511), we get a palindrome (15647333374651).

The spelling of 11532130251140 in words is "eleven trillion, five hundred thirty-two billion, one hundred thirty million, two hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 137 164 205 211 274 410 422 548 685 820 844 1055 1370 2110 2740 4220 5617 8651 11234 17302 22468 28085 28907 34604 43255 56170 57814 86510 112340 115628 144535 173020 289070 486511 578140 973022 1185187 1946044 2370374 2432555 4740748 4865110 5925935 9730220 11851870 19946951 23703740 39893902 66652007 79787804 99734755 102653821 133304014 199469510 205307642 266608028 333260035 398939020 410615284 513269105 666520070 1026538210 1333040140 2053076420 2732732287 4208806661 5465464574 8417613322 10930929148 13663661435 14063573477 16835226644 21044033305 27327322870 28127146954 42088066610 54654645740 56254293908 70317867385 84176133220 140635734770 281271469540 576606512557 1153213025114 2306426050228 2883032562785 5766065125570 11532130251140