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110000002022112 = 25310111539839449
BaseRepresentation
bin11001000000101101011111…
…000010111011101011100000
3112102110220020021100111221010
4121000231133002323223200
5103404220001004201422
61025541145303100520
732112144410641116
oct3100553702735340
9472426207314833
10110000002022112
113205a8144a1464
12104068a2141740
13494bc5682b987
141d24058309ab6
15cab5449b1b0c
hex640b5f0bbae0

110000002022112 has 96 divisors (see below), whose sum is σ = 291861859111200. Its totient is φ = 36272141107200.

The previous prime is 110000002022059. The next prime is 110000002022129. The reversal of 110000002022112 is 211220200000011.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 6259764 + ... + 16099212.

It is an arithmetic number, because the mean of its divisors is an integer number (3040227699075).

Almost surely, 2110000002022112 is an apocalyptic number.

110000002022112 is a gapful number since it is divisible by the number (12) 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 110000002022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145930929555600).

110000002022112 is an abundant number, since it is smaller than the sum of its proper divisors (181861857089088).

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

110000002022112 is a wasteful number, since it uses less digits than its factorization.

110000002022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840716 (or 9840708 counting only the distinct ones).

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

Adding to 110000002022112 its reverse (211220200000011), we get a palindrome (321220202022123).

The spelling of 110000002022112 in words is "one hundred ten trillion, two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1153 1212 1616 2306 2424 3232 3459 4612 4848 6918 9224 9696 13836 18448 27672 36896 55344 110688 116453 232906 349359 465812 698718 931624 1397436 1863248 2794872 3726496 5589744 9839449 11179488 19678898 29518347 39357796 59036694 78715592 118073388 157431184 236146776 314862368 472293552 944587104 993784349 1987568698 2981353047 3975137396 5962706094 7950274792 11344884697 11925412188 15900549584 22689769394 23850824376 31801099168 34034654091 45379538788 47701648752 68069308182 90759077576 95403297504 136138616364 181518155152 272277232728 363036310304 544554465456 1089108930912 1145833354397 2291666708794 3437500063191 4583333417588 6875000126382 9166666835176 13750000252764 18333333670352 27500000505528 36666667340704 55000001011056 110000002022112