Search a number
-
+
1022114142 = 232710180317
BaseRepresentation
bin111100111011000…
…011100101011110
32122020021210000100
4330323003211132
54043130123032
6245231241530
734220553420
oct7473034536
92566253010
101022114142
11484a58535
122463792a6
131339b098a
1499a66810
155eaed97c
hex3cec395e

1022114142 has 48 divisors (see below), whose sum is σ = 2556040032. Its totient is φ = 289137600.

The previous prime is 1022114131. The next prime is 1022114143. The reversal of 1022114142 is 2414112201.

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 (1022114143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27433 + ... + 52884.

It is an arithmetic number, because the mean of its divisors is an integer number (53250834).

Almost surely, 21022114142 is an apocalyptic number.

1022114142 is an abundant number, since it is smaller than the sum of its proper divisors (1533925890).

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

1022114142 is a wasteful number, since it uses less digits than its factorization.

1022114142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80433 (or 80430 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1022114142 is about 31970.5198894231. The cubic root of 1022114142 is about 1007.3177012965.

Adding to 1022114142 its reverse (2414112201), we get a palindrome (3436226343).

The spelling of 1022114142 in words is "one billion, twenty-two million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 80317 160634 240951 481902 562219 722853 1124438 1445706 1686657 3373314 5059971 8112017 10119942 16224034 24336051 48672102 56784119 73008153 113568238 146016306 170352357 340704714 511057071 1022114142