Search a number
-
+
10121012440 = 2357113286043
BaseRepresentation
bin10010110110100001…
…00110010011011000
3222010100110200222121
421123100212103120
5131211434344230
64352144231024
7505544120620
oct113320462330
928110420877
1010121012440
1143240584a0
121b6560b474
13c53aaa176
146c0263880
153e381377a
hex25b4264d8

10121012440 has 64 divisors (see below), whose sum is σ = 28391420160. Its totient is φ = 3154600320.

The previous prime is 10121012417. The next prime is 10121012479. The reversal of 10121012440 is 4421012101.

It is a happy number.

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, 1639942 + ... + 1646101.

It is an arithmetic number, because the mean of its divisors is an integer number (443615940).

Almost surely, 210121012440 is an apocalyptic number.

10121012440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121012440 is an abundant number, since it is smaller than the sum of its proper divisors (18270407720).

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

10121012440 is a wasteful number, since it uses less digits than its factorization.

10121012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286072 (or 3286068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10121012440 its reverse (4421012101), we get a palindrome (14542024541).

The spelling of 10121012440 in words is "ten billion, one hundred twenty-one million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3286043 6572086 13144172 16430215 23002301 26288344 32860430 36146473 46004602 65720860 72292946 92009204 115011505 131441720 144585892 180732365 184018408 230023010 253025311 289171784 361464730 460046020 506050622 722929460 920092040 1012101244 1265126555 1445858920 2024202488 2530253110 5060506220 10121012440