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113240021004 = 223311211451753
BaseRepresentation
bin110100101110110100…
…0011001100000001100
3101211021220002002122000
41221131220121200030
53323403421133004
6124004410352300
711116123203555
oct1513550314014
9354256062560
10113240021004
1144030048920
1219b43a2b690
13a8a883b9b6
1456a362932c
152e2b79dc39
hex1a5da1980c

113240021004 has 96 divisors (see below), whose sum is σ = 321793409280. Its totient is φ = 34152451200.

The previous prime is 113240020987. The next prime is 113240021017. The reversal of 113240021004 is 400120042311.

It is a super-3 number, since 3×1132400210043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 24792 + ... + 476544.

It is an arithmetic number, because the mean of its divisors is an integer number (3352014680).

Almost surely, 2113240021004 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 113240021004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160896704640).

113240021004 is an abundant number, since it is smaller than the sum of its proper divisors (208553388276).

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

113240021004 is a wasteful number, since it uses less digits than its factorization.

113240021004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451988 (or 451980 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113240021004 its reverse (400120042311), we get a palindrome (513360063315).

The spelling of 113240021004 in words is "one hundred thirteen billion, two hundred forty million, twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 211 297 396 422 594 633 844 1188 1266 1899 2321 2532 3798 4642 5697 6963 7596 9284 11394 13926 20889 22788 27852 41778 62667 83556 125334 250668 451753 903506 1355259 1807012 2710518 4065777 4969283 5421036 8131554 9938566 12197331 14907849 16263108 19877132 24394662 29815698 44723547 48789324 59631396 89447094 95319883 134170641 178894188 190639766 268341282 285959649 381279532 536682564 571919298 857878947 1048518713 1143838596 1715757894 2097037426 2573636841 3145556139 3431515788 4194074852 5147273682 6291112278 9436668417 10294547364 12582224556 18873336834 28310005251 37746673668 56620010502 113240021004