Search a number
-
+
100101111111092 = 227132939371001683
BaseRepresentation
bin10110110000101010011011…
…001010110101110110110100
3111010102120110112201011102002
4112300222123022311312310
5101110024033421023332
6552521452100434432
730041031564331550
oct2660523312656664
9433376415634362
10100101111111092
1129993708656503
12b2883236a8a18
1343b1656bc6870
141aa0cc3664860
15b88cd6337562
hex5b0a9b2b5db4

100101111111092 has 96 divisors (see below), whose sum is σ = 216569337637632. Its totient is φ = 39423126352896.

The previous prime is 100101111111061. The next prime is 100101111111107. The reversal of 100101111111092 is 290111111101001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99432083 + ... + 100433765.

It is an arithmetic number, because the mean of its divisors is an integer number (2255930600392).

Almost surely, 2100101111111092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101111111092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108284668818816).

100101111111092 is an abundant number, since it is smaller than the sum of its proper divisors (116468226526540).

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

100101111111092 is a wasteful number, since it uses less digits than its factorization.

100101111111092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002937 (or 1002935 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 20.

Adding to 100101111111092 its reverse (290111111101001), we get a palindrome (390212222212093).

The spelling of 100101111111092 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 293 364 586 937 1172 1874 2051 3748 3809 4102 6559 7618 8204 12181 13118 15236 24362 26236 26663 48724 53326 85267 106652 170534 274541 341068 549082 1001683 1098164 1921787 2003366 3569033 3843574 4006732 7011781 7138066 7687148 13021879 14023562 14276132 24983231 26043758 28047124 49966462 52087516 91153153 99932924 182306306 293493119 364612612 586986238 938576971 1173972476 1877153942 2054451833 3754307884 3815410547 4108903666 6570038797 7630821094 8217807332 12201500623 13140077594 15261642188 24403001246 26280155188 26707873829 48806002492 53415747658 85410504361 106831495316 170821008722 275003052503 341642017444 550006105006 1100012210012 1925021367521 3575039682539 3850042735042 7150079365078 7700085470084 14300158730156 25025277777773 50050555555546 100101111111092