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10121332300131 = 3131749733069769
BaseRepresentation
bin1001001101001000111001…
…1010101001100101100011
31022211120221001100201112010
42103102032122221211203
52311311442032101011
633305401553204003
72063146023025533
oct223221632514543
938746831321463
1010121332300131
113252484247a28
1211756b9860603
1358558c379760
1426dc373a34c3
1512842bd691a6
hex9348e6a9963

10121332300131 has 32 divisors (see below), whose sum is σ = 15391188267840. Its totient is φ = 5860948414464.

The previous prime is 10121332300127. The next prime is 10121332300153. The reversal of 10121332300131 is 13100323312101.

It is a happy number.

It is not a de Polignac number, because 10121332300131 - 22 = 10121332300127 is a prime.

It is a super-2 number, since 2×101213323001312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121332300098 and 10121332300107.

It is not an unprimeable number, because it can be changed into a prime (10121332302131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762215 + ... + 4831983.

It is an arithmetic number, because the mean of its divisors is an integer number (480974633370).

Almost surely, 210121332300131 is an apocalyptic number.

10121332300131 is a deficient number, since it is larger than the sum of its proper divisors (5269855967709).

10121332300131 is a wasteful number, since it uses less digits than its factorization.

10121332300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074775.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10121332300131 its reverse (13100323312101), we get a palindrome (23221655612232).

The spelling of 10121332300131 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty-two million, three hundred thousand, one hundred thirty-one".

Divisors: 1 3 13 17 39 51 221 663 4973 14919 64649 84541 193947 253623 1099033 3069769 3297099 9209307 39906997 52186073 119720991 156558219 678418949 2035256847 15265961237 45797883711 198457496081 259521341029 595372488243 778564023087 3373777433377 10121332300131