Search a number
-
+
100222078194 = 23378312725153
BaseRepresentation
bin101110101010110110…
…0111000110011110010
3100120200122112002021000
41131111230320303302
53120223323000234
6114012534542430
710145411415540
oct1352554706362
9316618462230
10100222078194
113955a8287a7
1217510207a16
1395b2827064
144bca74cd90
1529189a5899
hex1755b38cf2

100222078194 has 128 divisors (see below), whose sum is σ = 259637575680. Its totient is φ = 28066010112.

The previous prime is 100222078193. The next prime is 100222078207. The reversal of 100222078194 is 491870222001.

It is not an unprimeable number, because it can be changed into a prime (100222078193) 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, 3971922 + ... + 3997074.

It is an arithmetic number, because the mean of its divisors is an integer number (2028418560).

Almost surely, 2100222078194 is an apocalyptic number.

100222078194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222078194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129818787840).

100222078194 is an abundant number, since it is smaller than the sum of its proper divisors (159415497486).

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

100222078194 is a wasteful number, since it uses less digits than its factorization.

100222078194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25381 (or 25375 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100222078194 in words is "one hundred billion, two hundred twenty-two million, seventy-eight thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 127 166 189 249 254 378 381 498 581 747 762 889 1143 1162 1494 1743 1778 2241 2286 2667 3429 3486 4482 5229 5334 6858 8001 10458 10541 15687 16002 21082 24003 25153 31374 31623 48006 50306 63246 73787 75459 94869 147574 150918 176071 189738 221361 226377 284607 352142 442722 452754 528213 569214 664083 679131 1056426 1328166 1358262 1584639 1992249 2087699 3169278 3194431 3984498 4175398 4753917 6263097 6388862 9507834 9583293 12526194 14613893 18789291 19166586 22361017 28749879 29227786 37578582 43841679 44722034 56367873 57499758 67083051 86249637 87683358 112735746 131525037 134166102 172499274 201249153 263050074 265137773 394575111 402498306 530275546 603747459 789150222 795413319 1207494918 1590826638 1855964411 2386239957 3711928822 4772479914 5567893233 7158719871 11135786466 14317439742 16703679699 33407359398 50111039097 100222078194