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105130220404 = 221117232389683
BaseRepresentation
bin110000111101000111…
…1111101101101110100
3101001100201001112121211
41201322033331231310
53210301314023104
6120143545251204
710411140062206
oct1417217755564
9331321045554
10105130220404
11406492a5680
121845ba93b04
139bb5633211
14513453c776
152b04814e04
hex187a3fdb74

105130220404 has 144 divisors (see below), whose sum is σ = 223047639360. Its totient is φ = 42846622720.

The previous prime is 105130220333. The next prime is 105130220411. The reversal of 105130220404 is 404022031501.

It is a super-2 number, since 2×1051302204042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 153923847 + ... + 153924529.

It is an arithmetic number, because the mean of its divisors is an integer number (1548941940).

Almost surely, 2105130220404 is an apocalyptic number.

It is an amenable number.

105130220404 is an abundant number, since it is smaller than the sum of its proper divisors (117917418956).

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

105130220404 is a wasteful number, since it uses less digits than its factorization.

105130220404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 105130220404 its reverse (404022031501), we get a palindrome (509152251905).

The spelling of 105130220404 in words is "one hundred five billion, one hundred thirty million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 374 389 391 506 529 683 748 778 782 1012 1058 1366 1556 1564 2116 2732 4279 4301 5819 6613 7513 8558 8602 8947 8993 11611 11638 13226 15026 15709 17116 17204 17894 17986 23222 23276 26452 30052 31418 35788 35972 46444 62836 72743 98417 98923 127721 145486 152099 172799 196834 197846 205781 255442 265687 267053 290972 304198 345598 361307 393668 395692 411562 510884 531374 534106 608396 691196 722614 823124 1062748 1068212 1445228 1673089 2263591 2922557 2937583 3346178 3498277 3974377 4516679 4527182 5845114 5875166 6110801 6142219 6692356 6996554 7948754 9033358 9054364 11690228 11750332 12221602 12284438 13993108 15897508 18066716 24443204 24568876 38481047 49683469 67218811 67564409 76962094 99366938 103883617 134437622 135128818 140548423 153924188 198733876 207767234 268875244 270257636 281096846 415534468 562193692 1142719787 1546032653 2285439574 2389323191 3092065306 4570879148 4778646382 6184130612 9557292764 26282555101 52565110202 105130220404