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110011221000102 = 233710144322374951
BaseRepresentation
bin11001000000110111111011…
…101111111011111110100110
3112102111222012010211122111110
4121000313323233323332212
5103404410440034000402
61025550242432445450
732113022416452552
oct3100677357737646
9472458163748443
10110011221000102
11320645512a46a4
1210408ab33a9886
134950023c267a6
141d248002dc862
15cab99e8a856c
hex640dfbbfbfa6

110011221000102 has 128 divisors (see below), whose sum is σ = 228869912060928. Its totient is φ = 35223439680000.

The previous prime is 110011220999969. The next prime is 110011221000103. The reversal of 110011221000102 is 201000122110011.

It is a super-4 number, since 4×1100112210001024 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011221000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22219997727 + ... + 22220002677.

It is an arithmetic number, because the mean of its divisors is an integer number (1788046187976).

Almost surely, 2110011221000102 is an apocalyptic number.

110011221000102 is an abundant number, since it is smaller than the sum of its proper divisors (118858691060826).

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

110011221000102 is a wasteful number, since it uses less digits than its factorization.

110011221000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110011221000102 its reverse (201000122110011), we get a palindrome (311011343110113).

The spelling of 110011221000102 in words is "one hundred ten trillion, eleven billion, two hundred twenty-one million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 37 74 101 111 202 222 303 443 606 886 1329 2237 2658 3737 4474 4951 6711 7474 9902 11211 13422 14853 16391 22422 29706 32782 44743 49173 82769 89486 98346 134229 165538 183187 225937 248307 268458 366374 451874 496614 500051 549561 677811 990991 1000102 1099122 1355622 1500153 1655491 1981982 2193293 2972973 3000306 3310982 4386586 4966473 5945946 6579879 8359669 9932946 11075387 13159758 16719338 18501887 22150774 25079007 33226161 36666667 37003774 50158014 55505661 66452322 73333334 81151841 100090091 110000001 111011322 162303682 200180182 220000002 221522593 243455523 300270273 409789319 443045186 486911046 600540546 664567779 819578638 1118614087 1229367957 1329135558 2237228174 2458735914 3355842261 3703333367 4906396441 6711684522 7406666734 8196335941 9812792882 11110000101 14719189323 16392671882 22220000202 24589007823 29438378646 41388721219 49178015646 82777442438 124166163657 181536668317 248332327314 363073336634 495546040541 544610004951 991092081082 1089220009902 1486638121623 2973276243246 18335203500017 36670407000034 55005610500051 110011221000102