Search a number
-
+
111021000012112 = 24171972391786629
BaseRepresentation
bin11001001111100100010111…
…010001001011000101010000
3112120002111121101012100120111
4121033210113101023011100
5104022432002000341422
61032042202053251104
732246000606443651
oct3117442721130520
9476074541170514
10111021000012112
1132413818216aa3
1210550744333a94
1349c430a187468
141d5b6333c1528
15cc7d9e8c9a77
hex64f91744b150

111021000012112 has 80 divisors (see below), whose sum is σ = 228924653308560. Its totient is φ = 51977199181824.

The previous prime is 111021000012077. The next prime is 111021000012127. The reversal of 111021000012112 is 211210000120111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28899053614656 + 82121946397456 = 5375784^2 + 9062116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111021000012092 and 111021000012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281525214 + ... + 1281611842.

It is an arithmetic number, because the mean of its divisors is an integer number (2861558166357).

Almost surely, 2111021000012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111021000012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114462326654280).

111021000012112 is an abundant number, since it is smaller than the sum of its proper divisors (117903653296448).

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

111021000012112 is a wasteful number, since it uses less digits than its factorization.

111021000012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110768 (or 110762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111021000012112 its reverse (211210000120111), we get a palindrome (322231000132223).

The spelling of 111021000012112 in words is "one hundred eleven trillion, twenty-one billion, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 197 272 394 788 1576 3152 3349 6698 13396 23917 26792 47834 53584 86629 95668 173258 191336 346516 382672 406589 693032 813178 1386064 1472693 1626356 2945386 3252712 4711649 5890772 6505424 9423298 11781544 17065913 18846596 23563088 34131826 37693192 68263652 75386384 80098033 136527304 160196066 273054608 290120521 320392132 580241042 640784264 1160482084 1281568528 2071905793 2320964168 4143811586 4641928336 8287623172 16575246344 33150492688 35222398481 70444796962 140889593924 281779187848 408165441221 563558375696 816330882442 1632661764884 3265323529768 6530647059536 6938812500757 13877625001514 27755250003028 55510500006056 111021000012112