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100222330230 = 232511172350293
BaseRepresentation
bin101110101010110110…
…1110110010101110110
3100120200122222212222200
41131111231312111312
53120223404031410
6114012544205330
710145413515411
oct1352555662566
9316618885880
10100222330230
113955a9900a0
1217510309846
1395b28b49a9
144bca7b6b78
152918a053c0
hex1755b76576

100222330230 has 144 divisors (see below), whose sum is σ = 301973044464. Its totient is φ = 22867061760.

The previous prime is 100222330223. The next prime is 100222330231. The reversal of 100222330230 is 32033222001.

It is a happy number.

100222330230 is a `hidden beast` number, since 100 + 2 + 2 + 2 + 330 + 230 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222330231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110964 + ... + 461256.

It is an arithmetic number, because the mean of its divisors is an integer number (2097035031).

Almost surely, 2100222330230 is an apocalyptic number.

100222330230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222330230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150986522232).

100222330230 is an abundant number, since it is smaller than the sum of its proper divisors (201750714234).

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

100222330230 is a wasteful number, since it uses less digits than its factorization.

100222330230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350351 (or 350331 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100222330230 its reverse (32033222001), we get a palindrome (132255552231).

The spelling of 100222330230 in words is "one hundred billion, two hundred twenty-two million, three hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 289 306 330 374 495 510 561 578 765 867 935 990 1122 1445 1530 1683 1734 1870 2601 2805 2890 3179 3366 4335 5202 5610 6358 8415 8670 9537 13005 15895 16830 19074 26010 28611 31790 47685 57222 95370 143055 286110 350293 700586 1050879 1751465 2101758 3152637 3502930 3853223 5254395 5954981 6305274 7706446 10508790 11559669 11909962 15763185 17864943 19266115 23119338 29774905 31526370 34679007 35729886 38532230 53594829 57798345 59549810 65504791 69358014 89324715 101234677 107189658 115596690 131009582 173395035 178649430 196514373 202469354 267974145 303704031 327523955 346790070 393028746 506173385 535948290 589543119 607408062 655047910 911112093 982571865 1012346770 1113581447 1179086238 1518520155 1822224186 1965143730 2227162894 2947715595 3037040310 3340744341 4555560465 5567907235 5895431190 6681488682 9111120930 10022233023 11135814470 16703721705 20044466046 33407443410 50111165115 100222330230