Search a number
-
+
100304922930 = 235192396071213
BaseRepresentation
bin101110101101010100…
…0111010100100110010
3100120220102102000212120
41131122220322210302
53120411030013210
6114025054335110
710150435530432
oct1353250724462
9316812360776
10100304922930
11395a2572223
1217533aba496
1395c6a42204
144bd77562c2
152920dbc270
hex175aa3a932

100304922930 has 128 divisors (see below), whose sum is σ = 255091507200. Its totient is φ = 25171824384.

The previous prime is 100304922923. The next prime is 100304922943. The reversal of 100304922930 is 39229403001.

It is a super-2 number, since 2×1003049229302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100304922891 and 100304922900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82691004 + ... + 82692216.

It is an arithmetic number, because the mean of its divisors is an integer number (1992902400).

Almost surely, 2100304922930 is an apocalyptic number.

100304922930 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 100304922930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127545753600).

100304922930 is an abundant number, since it is smaller than the sum of its proper divisors (154786584270).

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

100304922930 is a wasteful number, since it uses less digits than its factorization.

100304922930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 100304922930 in words is "one hundred billion, three hundred four million, nine hundred twenty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 239 285 478 570 607 717 1195 1213 1214 1434 1821 2390 2426 3035 3585 3639 3642 4541 6065 6070 7170 7278 9082 9105 11533 12130 13623 18195 18210 22705 23047 23066 27246 34599 36390 45410 46094 57665 68115 69141 69198 115235 115330 136230 138282 145073 172995 230470 289907 290146 345705 345990 435219 579814 691410 725365 736291 869721 870438 1449535 1450730 1472582 1739442 2176095 2208873 2756387 2899070 3681455 4348605 4352190 4417746 5508233 5512774 7362910 8269161 8697210 11016466 11044365 13781935 13989529 16524699 16538322 22088730 27541165 27563870 27979058 33049398 41345805 41968587 55082330 69947645 82623495 82691610 83937174 139895290 165246990 175973549 209842935 351947098 419685870 527920647 879867745 1055841294 1759735490 2639603235 3343497431 5279206470 6686994862 10030492293 16717487155 20060984586 33434974310 50152461465 100304922930