Search a number
-
+
100023123222 = 232112313134733
BaseRepresentation
bin101110100100111010…
…1111011110100010110
3100120011210011010100100
41131021311323310112
53114321404420342
6113541110354530
710140444343101
oct1351165736426
9316153133310
10100023123222
1139468499a00
121747565ba46
139580547619
144bac15d738
1529062a5e4c
hex1749d7bd16

100023123222 has 144 divisors (see below), whose sum is σ = 246731232384. Its totient is φ = 29232403200.

The previous prime is 100023123197. The next prime is 100023123223. The reversal of 100023123222 is 222321320001.

It is a super-2 number, since 2×1000231232222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100023123195 and 100023123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023123223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21130768 + ... + 21135500.

It is an arithmetic number, because the mean of its divisors is an integer number (1713411336).

Almost surely, 2100023123222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100023123222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123365616192).

100023123222 is an abundant number, since it is smaller than the sum of its proper divisors (146708109162).

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

100023123222 is a wasteful number, since it uses less digits than its factorization.

100023123222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100023123222 its reverse (222321320001), we get a palindrome (322344443223).

The spelling of 100023123222 in words is "one hundred billion, twenty-three million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 186 198 242 279 313 341 363 558 626 682 726 939 1023 1089 1878 2046 2178 2817 3069 3443 3751 4733 5634 6138 6886 7502 9466 9703 10329 11253 14199 19406 20658 22506 28398 29109 30987 33759 37873 42597 52063 58218 61974 67518 75746 85194 87327 104126 106733 113619 146723 156189 174654 213466 227238 293446 312378 320199 340857 440169 468567 572693 640398 681714 880338 937134 960597 1145386 1174063 1320507 1481429 1613953 1718079 1921194 2348126 2641014 2962858 3227906 3436158 3522189 4444287 4841859 5154237 7044378 8888574 9683718 10308474 10566567 13332861 14525577 16295719 17753483 21133134 26665722 29051154 32591438 35506966 45924299 48887157 53260449 91848598 97774314 106520898 137772897 146661471 159781347 179252909 275545794 293322942 319562694 358505818 413318691 505167289 537758727 826637382 1010334578 1075517454 1515501867 1613276181 3031003734 3226552362 4546505601 5556840179 9093011202 11113680358 16670520537 33341041074 50011561611 100023123222