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1031000022 = 2331341113317
BaseRepresentation
bin111101011100111…
…100111111010110
32122212000020011000
4331130330333112
54102414000042
6250145524130
734356232653
oct7534747726
92585006130
101031000022
11489a77638
12249343646
131357a23b0
149acdac2a
15607a674c
hex3d73cfd6

1031000022 has 128 divisors (see below), whose sum is σ = 2557941120. Its totient is φ = 305786880.

The previous prime is 1030999993. The next prime is 1031000023. The reversal of 1031000022 is 2200001301.

It is a happy number.

It is a super-2 number, since 2×10310000222 = 2125922090728000968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1030999968 and 1031000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031000023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3252208 + ... + 3252524.

It is an arithmetic number, because the mean of its divisors is an integer number (19983915).

Almost surely, 21031000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278970560).

1031000022 is an abundant number, since it is smaller than the sum of its proper divisors (1526941098).

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

1031000022 is a wasteful number, since it uses less digits than its factorization.

1031000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1031000022 is about 32109.1890585857. The cubic root of 1031000022 is about 1010.2283645304.

Adding to 1031000022 its reverse (2200001301), we get a palindrome (3231001323).

The spelling of 1031000022 in words is "one billion, thirty-one million, twenty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 113 117 123 226 234 246 317 339 351 369 533 634 678 702 738 951 1017 1066 1107 1469 1599 1902 2034 2214 2853 2938 3051 3198 4121 4407 4633 4797 5706 6102 8242 8559 8814 9266 9594 12363 12997 13221 13899 14391 17118 24726 25994 26442 27798 28782 35821 37089 38991 39663 41697 60229 71642 74178 77982 79326 83394 107463 111267 116973 120458 125091 168961 180687 214926 222534 233946 250182 322389 337922 350919 361374 465673 506883 542061 644778 701838 931346 967167 1013766 1084122 1397019 1468661 1520649 1626183 1934334 2794038 2937322 3041298 3252366 4191057 4405983 4561947 8382114 8811966 9123894 12573171 13217949 19092593 25146342 26435898 38185186 39653847 57277779 79307694 114555558 171833337 343666674 515500011 1031000022