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11312106340 = 225171071392237
BaseRepresentation
bin10101000100100000…
…10000101101100100
31002012100201112122111
422202100100231210
5141131344400330
65110253410404
7550216213603
oct124220205544
932170645574
1011312106340
114885430a17
122238499a04
1310b37a3962
14794515a3a
1546319032a
hex2a2410b64

11312106340 has 96 divisors (see below), whose sum is σ = 25581951360. Its totient is φ = 4186650624.

The previous prime is 11312106319. The next prime is 11312106343. The reversal of 11312106340 is 4360121311.

It is not an unprimeable number, because it can be changed into a prime (11312106343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5055702 + ... + 5057938.

It is an arithmetic number, because the mean of its divisors is an integer number (266478660).

Almost surely, 211312106340 is an apocalyptic number.

11312106340 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 11312106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790975680).

11312106340 is an abundant number, since it is smaller than the sum of its proper divisors (14269845020).

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

11312106340 is a wasteful number, since it uses less digits than its factorization.

11312106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11312106340 its reverse (4360121311), we get a palindrome (15672227651).

The spelling of 11312106340 in words is "eleven billion, three hundred twelve million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 139 170 214 278 340 428 535 556 695 1070 1390 1819 2140 2237 2363 2780 3638 4474 4726 7276 8948 9095 9452 11185 11815 14873 18190 22370 23630 29746 36380 38029 44740 47260 59492 74365 76058 148730 152116 190145 239359 252841 297460 310943 380290 478718 505682 621886 760580 957436 1011364 1196795 1243772 1264205 1554715 2393590 2528410 3109430 4069103 4787180 5056820 5286031 6218860 8138206 10572062 16276412 20345515 21144124 26430155 33270901 40691030 52860310 66541802 81382060 105720620 133083604 166354505 332709010 565605317 665418020 1131210634 2262421268 2828026585 5656053170 11312106340