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10122311102331 = 317198476688281
BaseRepresentation
bin1001001101001100100011…
…0000011110111101111011
31022211200110021011000201110
42103103020300132331323
52311320443120233311
633310043040251403
72063212206511341
oct223231060367573
938750407130643
1010122311102331
11325293680256a
121175931610b63
135856b70a425c
1426dccb393991
15128487c5e8a6
hex934c8c1ef7b

10122311102331 has 8 divisors (see below), whose sum is σ = 14290321556304. Its totient is φ = 6351254024960.

The previous prime is 10122311102329. The next prime is 10122311102333. The reversal of 10122311102331 is 13320111322101.

It is an interprime number because it is at equal distance from previous prime (10122311102329) and next prime (10122311102333).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122311102331 - 21 = 10122311102329 is a prime.

It is a super-3 number, since 3×101223111023313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10122311102298 and 10122311102307.

It is not an unprimeable number, because it can be changed into a prime (10122311102333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99238344090 + ... + 99238344191.

It is an arithmetic number, because the mean of its divisors is an integer number (1786290194538).

Almost surely, 210122311102331 is an apocalyptic number.

10122311102331 is a deficient number, since it is larger than the sum of its proper divisors (4168010453973).

10122311102331 is a wasteful number, since it uses less digits than its factorization.

10122311102331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198476688301.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10122311102331 its reverse (13320111322101), we get a palindrome (23442422424432).

The spelling of 10122311102331 in words is "ten trillion, one hundred twenty-two billion, three hundred eleven million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 17 51 198476688281 595430064843 3374103700777 10122311102331