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111002121102012 = 223710511631977047
BaseRepresentation
bin11001001111010010110001…
…111111110110001010111100
3112120000200212200012100112220
4121033102301333312022330
5104022124321000231022
61032025400452525340
732244432016401510
oct3117226177661274
9476020780170486
10111002121102012
113240680a5a7458
1210548b55920850
1349c25bbb35a3a
141d5a761d68140
15cc76472ad85c
hex64f4b1ff62bc

111002121102012 has 96 divisors (see below), whose sum is σ = 296309299937280. Its totient is φ = 31682363025600.

The previous prime is 111002121102007. The next prime is 111002121102079. The reversal of 111002121102012 is 210201121200111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111002121101982 and 111002121102000.

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, 1440668073 + ... + 1440745119.

It is an arithmetic number, because the mean of its divisors is an integer number (3086555207680).

Almost surely, 2111002121102012 is an apocalyptic number.

111002121102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111002121102012 is an abundant number, since it is smaller than the sum of its proper divisors (185307178835268).

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

111002121102012 is a wasteful number, since it uses less digits than its factorization.

111002121102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94431 (or 94429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111002121102012 its reverse (210201121200111), we get a palindrome (321203242302123).

The spelling of 111002121102012 in words is "one hundred eleven trillion, two billion, one hundred twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1051 2102 3153 4204 6306 7357 12612 14714 16319 22071 29428 32638 44142 48957 65276 77047 88284 97914 114233 154094 195828 228466 231141 308188 342699 456932 462282 539329 685398 924564 1078658 1370796 1617987 2157316 3235974 6471948 17151269 34302538 51453807 68605076 80976397 102907614 120058883 161952794 205815228 240117766 242929191 323905588 360176649 480235532 485858382 566834779 720353298 971716764 1133669558 1257329993 1440706596 1700504337 2267339116 2514659986 3401008674 3771989979 5029319972 6802017348 7543979958 8801309951 15087959916 17602619902 26403929853 35205239804 52807859706 105615719412 1321453822643 2642907645286 3964361467929 5285815290572 7928722935858 9250176758501 15857445871716 18500353517002 27750530275503 37000707034004 55501060551006 111002121102012