Search a number
-
+
100001330022 = 231123263463541
BaseRepresentation
bin101110100100010001…
…0110011001101100110
3100120010021010220200210
41131020202303031212
53114300320030042
6113535011320250
710140061165056
oct1351042631546
9316107126623
10100001330022
11394571643a0
121746a2b0086
139578b86c39
144ba92c9566
1529043eda9c
hex17488b3366

100001330022 has 128 divisors (see below), whose sum is σ = 229453627392. Its totient is φ = 28760054400.

The previous prime is 100001330003. The next prime is 100001330029. The reversal of 100001330022 is 220033100001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001330029) 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, 184845072 + ... + 184845612.

It is an arithmetic number, because the mean of its divisors is an integer number (1792606464).

Almost surely, 2100001330022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001330022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114726813696).

100001330022 is an abundant number, since it is smaller than the sum of its proper divisors (129452297370).

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

100001330022 is a wasteful number, since it uses less digits than its factorization.

100001330022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100001330022 its reverse (220033100001), we get a palindrome (320034430023).

The spelling of 100001330022 in words is "one hundred billion, one million, three hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 263 463 506 526 541 759 789 926 1082 1389 1518 1578 1623 2778 2893 3246 5093 5786 5951 6049 8679 10186 10649 11902 12098 12443 15279 17358 17853 18147 21298 24886 30558 31947 35706 36294 37329 63894 66539 74658 117139 121769 133078 136873 142283 199617 234278 243538 250483 273746 284566 351417 365307 399234 410619 426849 500966 702834 730614 751449 821238 853698 1339459 1502898 1565113 2678918 2755313 2800687 3130226 3272509 4018377 4695339 5510626 5601374 5761109 6545018 8036754 8265939 8402061 9390678 9817527 11522218 16531878 16804122 17283327 19635054 30807557 34566654 35997599 61615114 63372199 65877029 71995198 92422671 107992797 126744398 131754058 184845342 190116597 197631087 215985594 380233194 395262174 724647319 1449294638 1515171667 2173941957 3030343334 4347883914 4545515001 9091030002 16666888337 33333776674 50000665011 100001330022