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110022012020 = 225172318177731
BaseRepresentation
bin110011001110111010…
…0101010110001110100
3101111222121211022012002
41212131310222301310
53300311113341040
6122313213314432
710643306446304
oct1463564526164
9344877738162
10110022012020
1142729615068
12193a6195a18
13a4b4c3607b
14547a0b3604
152cddee4a15
hex199dd2ac74

110022012020 has 96 divisors (see below), whose sum is σ = 256687232256. Its totient is φ = 39399782400.

The previous prime is 110022012019. The next prime is 110022012083. The reversal of 110022012020 is 20210220011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110022011992 and 110022012010.

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, 1376555 + ... + 1454285.

It is an arithmetic number, because the mean of its divisors is an integer number (2673825336).

Almost surely, 2110022012020 is an apocalyptic number.

110022012020 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 110022012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128343616128).

110022012020 is an abundant number, since it is smaller than the sum of its proper divisors (146665220236).

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

110022012020 is a wasteful number, since it uses less digits than its factorization.

110022012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77961 (or 77959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110022012020 its reverse (20210220011), we get a palindrome (130232232031).

The spelling of 110022012020 in words is "one hundred ten billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 181 230 340 362 391 460 724 782 905 1564 1810 1955 3077 3620 3910 4163 6154 7820 8326 12308 15385 16652 20815 30770 41630 61540 70771 77731 83260 141542 155462 283084 310924 353855 388655 707710 777310 1321427 1415420 1554620 1787813 2642854 3575626 5285708 6607135 7151252 8939065 13214270 14069311 17878130 26428540 28138622 30392821 35756260 56277244 60785642 70346555 121571284 140693110 151964105 239178287 281386220 303928210 323594153 478356574 607856420 647188306 956713148 1195891435 1294376612 1617970765 2391782870 3235941530 4783565740 5501100601 6471883060 11002201202 22004402404 27505503005 55011006010 110022012020