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1102110030312 = 2333728143910061
BaseRepresentation
bin10000000010011010111…
…000000111100111101000
310220100201221110102011120
4100002122320013213220
5121024110131432222
62202145150455240
7142424212455264
oct20023270074750
93810657412146
101102110030312
1139544741aaa5
1215971a504520
137cc0bc98715
143b4b18050a4
151da05d4a15c
hex1009ae079e8

1102110030312 has 128 divisors (see below), whose sum is σ = 2846563948800. Its totient is φ = 355322419200.

The previous prime is 1102110030247. The next prime is 1102110030313. The reversal of 1102110030312 is 2130300112011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1102110030291 and 1102110030300.

It is not an unprimeable number, because it can be changed into a prime (1102110030313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109537762 + ... + 109547822.

It is an arithmetic number, because the mean of its divisors is an integer number (22238780850).

Almost surely, 21102110030312 is an apocalyptic number.

1102110030312 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 1102110030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423281974400).

1102110030312 is an abundant number, since it is smaller than the sum of its proper divisors (1744453918488).

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

1102110030312 is a wasteful number, since it uses less digits than its factorization.

1102110030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1102110030312 its reverse (2130300112011), we get a palindrome (3232410142323).

The spelling of 1102110030312 in words is "one trillion, one hundred two billion, one hundred ten million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 281 296 439 444 562 843 878 888 1124 1317 1686 1756 2248 2634 3372 3512 5268 6744 10061 10397 10536 16243 20122 20794 30183 31191 32486 40244 41588 48729 60366 62382 64972 80488 83176 97458 120732 123359 124764 129944 194916 241464 246718 249528 370077 372257 389832 493436 740154 744514 986872 1116771 1480308 1489028 2233542 2827141 2960616 2978056 4416779 4467084 4564283 5654282 8481423 8833558 8934168 9128566 11308564 13250337 13692849 16962846 17667116 18257132 22617128 26500674 27385698 33925692 35334232 36514264 53001348 54771396 67851384 104604217 106002696 109542792 163420823 209208434 313812651 326841646 418416868 490262469 627625302 653683292 836833736 980524938 1241114899 1255250604 1307366584 1961049876 2482229798 2510501208 3723344697 3922099752 4964459596 7446689394 9928919192 14893378788 29786757576 45921251263 91842502526 137763753789 183685005052 275527507578 367370010104 551055015156 1102110030312