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110122210131030 = 232519232799954491
BaseRepresentation
bin11001000010011111010011…
…001101110111110001010110
3112102220120200011110200102100
4121002133103031313301112
5103413220241243143110
61030113240035022530
732124032011504626
oct3102372315676126
9472816604420370
10110122210131030
11320a7626814489
121042650943aa46
13495a631326566
141d29d2ca00886
15cae7e8736bc0
hex6427d3377c56

110122210131030 has 96 divisors (see below), whose sum is σ = 314490888541440. Its totient is φ = 26610767472960.

The previous prime is 110122210130969. The next prime is 110122210131097. The reversal of 110122210131030 is 30131012221011.

110122210131030 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 222 + 101 + 310 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110122210130994 and 110122210131012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1399937916 + ... + 1400016575.

It is an arithmetic number, because the mean of its divisors is an integer number (3275946755640).

Almost surely, 2110122210131030 is an apocalyptic number.

110122210131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110122210131030 is an abundant number, since it is smaller than the sum of its proper divisors (204368678410410).

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

110122210131030 is a wasteful number, since it uses less digits than its factorization.

110122210131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799954546 (or 2799954543 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110122210131030 its reverse (30131012221011), we get a palindrome (140253222352041).

The spelling of 110122210131030 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred ten million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 90 95 114 115 138 171 190 207 230 285 342 345 414 437 570 690 855 874 1035 1311 1710 2070 2185 2622 3933 4370 6555 7866 13110 19665 39330 2799954491 5599908982 8399863473 13999772455 16799726946 25199590419 27999544910 41999317365 50399180838 53199135329 64398953293 83998634730 106398270658 125997952095 128797906586 159597405987 193196859879 251995904190 265995676645 319194811974 321994766465 386393719758 478792217961 531991353290 579590579637 643989532930 797987029935 957584435922 965984299395 1159181159274 1223580112567 1595974059870 1931968598790 2393961089805 2447160225134 2897952898185 3670740337701 4787922179610 5795905796370 6117900562835 7341480675402 11012221013103 12235801125670 18353701688505 22024442026206 36707403377010 55061105065515 110122210131030