Search a number
-
+
1031222114142 = 2311101349443263
BaseRepresentation
bin11110000000110011010…
…00001011011101011110
310122120202122100011021220
433000121220023131132
5113343420330123032
62105423100434210
7134334434225613
oct17003150133536
93576678304256
101031222114142
1136837aaaa410
12147a36248966
13763228c88ac
1437ca8cda50a
151bc577e812c
hexf019a0b75e

1031222114142 has 64 divisors (see below), whose sum is σ = 2278731571200. Its totient is φ = 308510352000.

The previous prime is 1031222114123. The next prime is 1031222114161. The reversal of 1031222114142 is 2414112221301.

1031222114142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1031222114123) and next prime (1031222114161).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2104803 + ... + 2548065.

It is an arithmetic number, because the mean of its divisors is an integer number (35605180800).

Almost surely, 21031222114142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031222114142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139365785600).

1031222114142 is an abundant number, since it is smaller than the sum of its proper divisors (1247509457058).

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

1031222114142 is a wasteful number, since it uses less digits than its factorization.

1031222114142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443729.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1031222114142 its reverse (2414112221301), we get a palindrome (3445334335443).

The spelling of 1031222114142 in words is "one trillion, thirty-one billion, two hundred twenty-two million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 349 606 698 1047 1111 2094 2222 3333 3839 6666 7678 11517 23034 35249 70498 105747 211494 387739 443263 775478 886526 1163217 1329789 2326434 2659578 4875893 9751786 14627679 29255358 44769563 89539126 134308689 154698787 268617378 309397574 464096361 492465193 928192722 984930386 1477395579 1701686657 2954791158 3403373314 5105059971 10210119942 15624577487 31249154974 46873732461 93747464922 171870352357 343740704714 515611057071 1031222114142