Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
1022112102 = 231147536217
BaseRepresentation
bin111100111011000…
…011000101100110
32122020021200012210
4330323003011212
54043130041402
6245231224250
734220544444
oct7473030546
92566250183
101022112102
11484a56a50
12246378086
131339aca7b
1499a65b94
155eaed06c
hex3cec3166

1022112102 has 64 divisors (see below), whose sum is σ = 2320856064. Its totient is φ = 297373440.

The previous prime is 1022112061. The next prime is 1022112103. The reversal of 1022112102 is 2012112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022112103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161298 + ... + 167514.

It is an arithmetic number, because the mean of its divisors is an integer number (36263376).

Almost surely, 21022112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160428032).

1022112102 is an abundant number, since it is smaller than the sum of its proper divisors (1298743962).

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

1022112102 is a wasteful number, since it uses less digits than its factorization.

1022112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1022112102 is about 31970.4879850152. The cubic root of 1022112102 is about 1007.3170311399.

Adding to 1022112102 its reverse (2012112201), we get a palindrome (3034224303).

Subtracting 1022112102 from its reverse (2012112201), we obtain a palindrome (990000099).

The spelling of 1022112102 in words is "one billion, twenty-two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 47 53 66 94 106 141 159 282 318 517 583 1034 1166 1551 1749 2491 3102 3498 4982 6217 7473 12434 14946 18651 27401 37302 54802 68387 82203 136774 164406 205161 292199 329501 410322 584398 659002 876597 988503 1753194 1977006 3214189 3624511 6428378 7249022 9642567 10873533 15486547 19285134 21747066 30973094 46459641 92919282 170352017 340704034 511056051 1022112102