Search a number
-
+
100122303219978 = 231317292777937591
BaseRepresentation
bin10110110000111110001010…
…010100010100100100001010
3111010111121011110101211121210
4112300332022110110210022
5101110400434111014403
6552535315013113550
730042412003306554
oct2660761224244412
9433447143354553
10100122303219978
11299a16a2a91586
12b2904589288b6
1343b3653561c70
141aa1d33dc44d4
15b89626a80b03
hex5b0f8a51490a

100122303219978 has 128 divisors (see below), whose sum is σ = 236292085854720. Its totient is φ = 27984766279680.

The previous prime is 100122303219977. The next prime is 100122303220111. The reversal of 100122303219978 is 879912303221001.

It is not an unprimeable number, because it can be changed into a prime (100122303219977) 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, 106317963 + ... + 107255553.

It is an arithmetic number, because the mean of its divisors is an integer number (1846031920740).

Almost surely, 2100122303219978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122303219978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118146042927360).

100122303219978 is an abundant number, since it is smaller than the sum of its proper divisors (136169782634742).

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

100122303219978 is a wasteful number, since it uses less digits than its factorization.

100122303219978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940432.

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 100122303219978 in words is "one hundred trillion, one hundred twenty-two billion, three hundred three million, two hundred nineteen thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 174 221 377 442 493 663 754 986 1131 1326 1479 2262 2777 2958 5554 6409 8331 12818 16662 19227 36101 38454 47209 72202 80533 94418 108303 141627 161066 216606 241599 283254 483198 613717 937591 1046929 1227434 1369061 1841151 1875182 2093858 2738122 2812773 3140787 3682302 4107183 5625546 6281574 8214366 12188683 15939047 17797793 24377366 27190139 31878094 35595586 36566049 47817141 53393379 54380278 73132098 81570417 95634282 106786758 163140834 207207611 353471807 414415222 462232363 621622833 706943614 924464726 1060415421 1243245666 1386697089 2120830842 2603690207 2773394178 5207380414 6009020719 7811070621 12018041438 15622141242 18027062157 33847972691 36054124314 44262733519 67695945382 75507016003 88525467038 101543918073 132788200557 151014032006 203087836146 226521048009 265576401114 453042096018 575415535747 981591208039 1150831071494 1283619272051 1726246607241 1963182416078 2567238544102 2944773624117 3452493214482 3850857816153 5889547248234 7701715632306 16687050536663 33374101073326 50061151609989 100122303219978