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10114424012 = 22711101347937
BaseRepresentation
bin10010110101101110…
…11101110011001100
3222002220001222100202
421122313131303030
5131203243032022
64351351113032
7505434120440
oct113267356314
928086058322
1010114424012
114320368510
121b63372778
13c526113a4
146bd42a820
153e2e61592
hex25adddccc

10114424012 has 96 divisors (see below), whose sum is σ = 22374406656. Its totient is φ = 3886272000.

The previous prime is 10114423967. The next prime is 10114424039. The reversal of 10114424012 is 21042441101.

It is a super-2 number, since 2×101144240122 (a number of 21 digits) contains 22 as substring.

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, 10794008 + ... + 10794944.

It is an arithmetic number, because the mean of its divisors is an integer number (233066736).

Almost surely, 210114424012 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 10114424012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187203328).

10114424012 is an abundant number, since it is smaller than the sum of its proper divisors (12259982644).

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

10114424012 is a wasteful number, since it uses less digits than its factorization.

10114424012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10114424012 its reverse (21042441101), we get a palindrome (31156865113).

The spelling of 10114424012 in words is "ten billion, one hundred fourteen million, four hundred twenty-four thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 347 404 694 707 937 1111 1388 1414 1874 2222 2429 2828 3748 3817 4444 4858 6559 7634 7777 9716 10307 13118 15268 15554 20614 26236 26719 31108 35047 41228 53438 70094 72149 94637 106876 140188 144298 189274 245329 288596 325139 378548 385517 490658 650278 662459 771034 981316 1041007 1300556 1324918 1542068 2082014 2275973 2649836 2698619 3576529 4164028 4551946 5397238 7153058 7287049 9103892 10794476 14306116 14574098 25035703 29148196 32839039 50071406 65678078 100142812 131356156 229873273 361229429 459746546 722458858 919493092 1444917716 2528606003 5057212006 10114424012