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110122002011120 = 24511316076650297
BaseRepresentation
bin11001000010011111000110…
…110011111101001111110000
3112102220120010122212002120112
4121002133012303331033300
5103413214330003323440
61030113203242200452
732124023603511221
oct3102370663751760
9472816118762515
10110122002011120
11320a752a295960
121042646b7b3128
13495a5ca188398
141d29d0d107248
15cae7d5326965
hex6427c6cfd3f0

110122002011120 has 160 divisors (see below), whose sum is σ = 288794457686016. Its totient is φ = 38688762009600.

The previous prime is 110122002011059. The next prime is 110122002011201. The reversal of 110122002011120 is 21110200221011.

It is a junction number, because it is equal to n+sod(n) for n = 110122002011095 and 110122002011104.

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, 13233812 + ... + 19884108.

Almost surely, 2110122002011120 is an apocalyptic number.

110122002011120 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 110122002011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144397228843008).

110122002011120 is an abundant number, since it is smaller than the sum of its proper divisors (178672455674896).

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

110122002011120 is a wasteful number, since it uses less digits than its factorization.

110122002011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650959 (or 6650953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110122002011120 its reverse (21110200221011), we get a palindrome (131232202232131).

The spelling of 110122002011120 in words is "one hundred ten trillion, one hundred twenty-two billion, two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 607 620 682 880 1214 1240 1364 1705 2428 2480 2728 3035 3410 4856 5456 6070 6677 6820 9712 12140 13354 13640 18817 24280 26708 27280 33385 37634 48560 53416 66770 75268 94085 106832 133540 150536 188170 206987 267080 301072 376340 413974 534160 752680 827948 1034935 1505360 1655896 2069870 3311792 4139740 6650297 8279480 13300594 16558960 26601188 33251485 53202376 66502970 73153267 106404752 133005940 146306534 206159207 266011880 292613068 365766335 412318414 532023760 585226136 731532670 824636828 1030796035 1170452272 1463065340 1649273656 2061592070 2267751277 2926130680 3298547312 4036730279 4123184140 4535502554 5852261360 8073460558 8246368280 9071005108 11338756385 16146921116 16492736560 18142010216 20183651395 22677512770 32293842232 36284020432 40367302790 44404033069 45355025540 64587684464 80734605580 88808066138 90710051080 125138638649 161469211160 177616132276 181420102160 222020165345 250277277298 322938422320 355232264552 444040330690 500554554596 625693193245 710464529104 888080661380 1001109109192 1251386386490 1376525025139 1776161322760 2002218218384 2502772772980 2753050050278 3552322645520 5005545545960 5506100100556 6882625125695 10011091091920 11012200201112 13765250251390 22024400402224 27530500502780 55061001005560 110122002011120