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1031022212121 = 3211431139921247
BaseRepresentation
bin11110000000011011011…
…01100111010000011001
310122120020201012002021100
433000031231213100121
5113343013141241441
62105351200102013
7134326456130106
oct17001555472031
93576221162240
101031022212121
11368288184030
1214799b304909
13762c0377085
1437c8a541aad
151bc44eaccb6
hexf00db67419

1031022212121 has 48 divisors (see below), whose sum is σ = 1662647500800. Its totient is φ = 610248008160.

The previous prime is 1031022212119. The next prime is 1031022212161. The reversal of 1031022212121 is 1212122201301.

1031022212121 is a `hidden beast` number, since 1 + 0 + 310 + 22 + 212 + 121 = 666.

It is not a de Polignac number, because 1031022212121 - 21 = 1031022212119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1031022212094 and 1031022212103.

It is not an unprimeable number, because it can be changed into a prime (1031022212161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48514920 + ... + 48536166.

It is an arithmetic number, because the mean of its divisors is an integer number (34638489600).

Almost surely, 21031022212121 is an apocalyptic number.

1031022212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031022212121 is a deficient number, since it is larger than the sum of its proper divisors (631625288679).

1031022212121 is a wasteful number, since it uses less digits than its factorization.

1031022212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32706 (or 32703 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1031022212121 its reverse (1212122201301), we get a palindrome (2243144413422).

The spelling of 1031022212121 in words is "one trillion, thirty-one billion, twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 11399 21247 34197 63741 102591 125389 191223 233717 376167 490157 701151 913621 1128501 1470471 2103453 2740863 4411413 5391727 8222589 10049831 16175181 30149493 48525543 90448479 242194553 726583659 2179750977 2664140083 7992420249 10414365779 23977260747 31243097337 93729292011 114558023569 343674070707 1031022212121