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1011113114424 = 233713799436157
BaseRepresentation
bin11101011011010110000…
…10011011101100111000
310120122212012201010112120
432231223002123230320
5113031224424130144
62052255435041240
7133023216444360
oct16555302335470
93518765633476
101011113114424
1135a8a0aa2286
12143b638a0220
1374469778caa
1436d1c35d9a0
151b47c1eae19
hexeb6b09bb38

1011113114424 has 64 divisors (see below), whose sum is σ = 2889110592000. Its totient is φ = 288867863424.

The previous prime is 1011113114423. The next prime is 1011113114441. The reversal of 1011113114424 is 4244113111101.

It is a happy number.

It is a super-5 number, since 5×10111131144245 (a number of 61 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1011113114394 and 1011113114403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011113114423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100154 + ... + 2536310.

It is an arithmetic number, because the mean of its divisors is an integer number (45142353000).

Almost surely, 21011113114424 is an apocalyptic number.

1011113114424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1011113114424 is an abundant number, since it is smaller than the sum of its proper divisors (1877997477576).

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

1011113114424 is a wasteful number, since it uses less digits than its factorization.

1011113114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449972 (or 449968 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 1011113114424 its reverse (4244113111101), we get a palindrome (5255226225525).

The spelling of 1011113114424 in words is "one trillion, eleven billion, one hundred thirteen million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13799 27598 41397 55196 82794 96593 110392 165588 193186 289779 331176 386372 436157 579558 772744 872314 1159116 1308471 1744628 2318232 2616942 3053099 3489256 5233884 6106198 9159297 10467768 12212396 18318594 24424792 36637188 73274376 6018530443 12037060886 18055591329 24074121772 36111182658 42129713101 48148243544 72222365316 84259426202 126389139303 144444730632 168518852404 252778278606 337037704808 505556557212 1011113114424