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11134114020 = 22325251246439
BaseRepresentation
bin10100101111010010…
…10001100011100100
31001201221210121002100
422113221101203210
5140300313122040
65040454412100
7542625256551
oct122751214344
931657717070
1011134114020
1147a3a0a727
1221a8961030
131085953863
14778a21a28
15452731b30
hex297a518e4

11134114020 has 72 divisors (see below), whose sum is σ = 33908172480. Its totient is φ = 2957256000.

The previous prime is 11134114009. The next prime is 11134114031. The reversal of 11134114020 is 2041143111.

It is an interprime number because it is at equal distance from previous prime (11134114009) and next prime (11134114031).

It is a super-5 number, since 5×111341140205 (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11134113984 and 11134114002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78040 + ... + 168399.

It is an arithmetic number, because the mean of its divisors is an integer number (470946840).

Almost surely, 211134114020 is an apocalyptic number.

11134114020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134114020 is an abundant number, since it is smaller than the sum of its proper divisors (22774058460).

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

11134114020 is a wasteful number, since it uses less digits than its factorization.

11134114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246705 (or 246700 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11134114020 its reverse (2041143111), we get a palindrome (13175257131).

The spelling of 11134114020 in words is "eleven billion, one hundred thirty-four million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 22590 45180 246439 492878 739317 985756 1232195 1478634 2217951 2464390 2957268 3696585 4435902 4928780 7393170 8871804 11089755 14786340 22179510 44359020 61856189 123712378 185568567 247424756 309280945 371137134 556705701 618561890 742274268 927842835 1113411402 1237123780 1855685670 2226822804 2783528505 3711371340 5567057010 11134114020