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1010222220312 = 233214030864171
BaseRepresentation
bin11101011001101011110…
…11111100010000011000
310120120120010100000120100
432230311323330100120
5113022413342022222
62052031212055400
7132662151122424
oct16546573742030
93516503300510
101010222220312
1135a48411a358
12143955464560
1374357020206
1436c75cd3b84
151b428dbc4ac
hexeb35efc418

1010222220312 has 24 divisors (see below), whose sum is σ = 2736018513540. Its totient is φ = 336740740080.

The previous prime is 1010222220311. The next prime is 1010222220331. The reversal of 1010222220312 is 2130222220101.

1010222220312 is a `hidden beast` number, since 10 + 102 + 22 + 220 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10102222203123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222220311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7015432014 + ... + 7015432157.

Almost surely, 21010222220312 is an apocalyptic number.

1010222220312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010222220312 is an abundant number, since it is smaller than the sum of its proper divisors (1725796293228).

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

1010222220312 is a wasteful number, since it uses less digits than its factorization.

1010222220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030864183 (or 14030864176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1010222220312 its reverse (2130222220101), we get a palindrome (3140444440413).

The spelling of 1010222220312 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14030864171 28061728342 42092592513 56123456684 84185185026 112246913368 126277777539 168370370052 252555555078 336740740104 505111110156 1010222220312