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131004003155232 = 25341307910809853
BaseRepresentation
bin11101110010010110111111…
…000100100111110100100000
3122011211212020020002001212110
4131302112333010213310200
5114132332144301431412
61142342224101555320
736410504215545144
oct3562267704476440
9564755206061773
10131004003155232
1138818538571979
1212839553715b40
13581381700861c
14244c8b013b224
151022aac4a9d3c
hex7725bf127d20

131004003155232 has 96 divisors (see below), whose sum is σ = 352387403786880. Its totient is φ = 42589087303680.

The previous prime is 131004003155227. The next prime is 131004003155251. The reversal of 131004003155232 is 232551300400131.

131004003155232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1310040031552322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131004003155232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714018 + ... + 17523870.

It is an arithmetic number, because the mean of its divisors is an integer number (3670702122780).

Almost surely, 2131004003155232 is an apocalyptic number.

131004003155232 is a gapful number since it is divisible by the number (12) 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 131004003155232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176193701893440).

131004003155232 is an abundant number, since it is smaller than the sum of its proper divisors (221383400631648).

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

131004003155232 is a wasteful number, since it uses less digits than its factorization.

131004003155232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812986 (or 10812978 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 131004003155232 its reverse (232551300400131), we get a palindrome (363555303555363).

The spelling of 131004003155232 in words is "one hundred thirty-one trillion, four billion, three million, one hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3079 3936 6158 9237 12316 18474 24632 36948 49264 73896 98528 126239 147792 252478 295584 378717 504956 757434 1009912 1514868 2019824 3029736 4039648 6059472 10809853 12118944 21619706 32429559 43239412 64859118 86478824 129718236 172957648 259436472 345915296 443203973 518872944 886407946 1037745888 1329611919 1772815892 2659223838 3545631784 5318447676 7091263568 10636895352 14182527136 21273790704 33283537387 42547581408 66567074774 99850612161 133134149548 199701224322 266268299096 399402448644 532536598192 798804897288 1065073196384 1364625032867 1597609794576 2729250065734 3195219589152 4093875098601 5458500131468 8187750197202 10917000262936 16375500394404 21834000525872 32751000788808 43668001051744 65502001577616 131004003155232