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10101015523332 = 2232280583764537
BaseRepresentation
bin1001001011111101001101…
…1100010011000000000100
31022202122111010202112012100
42102333103130103000010
52310443334433221312
633252201550152100
72061526403206236
oct222772334230004
938678433675170
1010101015523332
1132448a8a258a8
1211717897b2630
135836a217ba36
1426cc6adbc256
15127b3d3c85dc
hex92fd3713004

10101015523332 has 18 divisors (see below), whose sum is σ = 25533122572958. Its totient is φ = 3367005174432.

The previous prime is 10101015523321. The next prime is 10101015523349. The reversal of 10101015523332 is 23332551010101.

10101015523332 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 101 + 5 + 523 + 3 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6997379305536 + 3103636217796 = 2645256^2 + 1761714^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 10101015523296 and 10101015523305.

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 5 ways as a sum of consecutive naturals, for example, 140291882233 + ... + 140291882304.

Almost surely, 210101015523332 is an apocalyptic number.

10101015523332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101015523332 is an abundant number, since it is smaller than the sum of its proper divisors (15432107049626).

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

10101015523332 is a wasteful number, since it uses less digits than its factorization.

10101015523332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280583764547 (or 280583764542 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10101015523332 its reverse (23332551010101), we get a palindrome (33433566533433).

The spelling of 10101015523332 in words is "ten trillion, one hundred one billion, fifteen million, five hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 280583764537 561167529074 841751293611 1122335058148 1683502587222 2525253880833 3367005174444 5050507761666 10101015523332