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110002112200020 = 223537392912611479
BaseRepresentation
bin11001000000101111011100…
…110100100111110101010100
3112102111002200100000122211110
4121000233130310213311110
5103404233311210400040
61025542134523335020
732112250613105235
oct3100573464476524
9472432610018743
10110002112200020
11320606a7651347
1210407190981470
13494c201a71361
141d241b868508c
15cab619d89980
hex640bdcd27d54

110002112200020 has 96 divisors (see below), whose sum is σ = 316410935097600. Its totient is φ = 28533822096384.

The previous prime is 110002112199977. The next prime is 110002112200033. The reversal of 110002112200020 is 20002211200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110002112199969 and 110002112200005.

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, 2416641 + ... + 15028119.

It is an arithmetic number, because the mean of its divisors is an integer number (3295947240600).

Almost surely, 2110002112200020 is an apocalyptic number.

110002112200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002112200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158205467548800).

110002112200020 is an abundant number, since it is smaller than the sum of its proper divisors (206408822897580).

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

110002112200020 is a wasteful number, since it uses less digits than its factorization.

110002112200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12615457 (or 12615455 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110002112200020 its reverse (20002211200011), we get a palindrome (130004323400031).

It can be divided in two parts, 11000211 and 2200020, that added together give a palindrome (13200231).

The spelling of 110002112200020 in words is "one hundred ten trillion, two billion, one hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 3929 7858 11787 15716 19645 23574 39290 47148 58935 78580 117870 145373 235740 290746 436119 581492 726865 872238 1453730 1744476 2180595 2907460 4361190 8722380 12611479 25222958 37834437 50445916 63057395 75668874 126114790 151337748 189172185 252229580 378344370 466624723 756688740 933249446 1399874169 1866498892 2333123615 2799748338 4666247230 5599496676 6999370845 9332494460 13998741690 27997483380 49550500991 99101001982 148651502973 198202003964 247752504955 297303005946 495505009910 594606011892 743257514865 991010019820 1486515029730 1833368536667 2973030059460 3666737073334 5500105610001 7333474146668 9166842683335 11000211220002 18333685366670 22000422440004 27500528050005 36667370733340 55001056100010 110002112200020