Search a number
-
+
113223123120 = 2435679777207
BaseRepresentation
bin110100101110010011…
…1111100000010110000
3101211020201021121002110
41221130213330002300
53323340104414440
6124003004245320
711115526444602
oct1513447740260
9354221247073
10113223123120
1144021557228
1219b3a240840
13a8a51a3553
1456a12ab172
152e2a062080
hex1a5c9fc0b0

113223123120 has 160 divisors (see below), whose sum is σ = 356644459008. Its totient is φ = 29707628544.

The previous prime is 113223123089. The next prime is 113223123137. The reversal of 113223123120 is 21321322311.

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, 15706557 + ... + 15713763.

Almost surely, 2113223123120 is an apocalyptic number.

113223123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113223123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178322229504).

113223123120 is an abundant number, since it is smaller than the sum of its proper divisors (243421335888).

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

113223123120 is a wasteful number, since it uses less digits than its factorization.

113223123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113223123120 its reverse (21321322311), we get a palindrome (134544445431).

The spelling of 113223123120 in words is "one hundred thirteen billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 977 1005 1072 1340 1608 1954 2010 2680 2931 3216 3908 4020 4885 5360 5862 7207 7816 8040 9770 11724 14414 14655 15632 16080 19540 21621 23448 28828 29310 36035 39080 43242 46896 57656 58620 65459 72070 78160 86484 108105 115312 117240 130918 144140 172968 196377 216210 234480 261836 288280 327295 345936 392754 432420 482869 523672 576560 654590 785508 864840 965738 981885 1047344 1309180 1448607 1571016 1729680 1931476 1963770 2414345 2618360 2897214 3142032 3862952 3927540 4828690 5236720 5794428 7041239 7243035 7725904 7855080 9657380 11588856 14082478 14486070 15710160 19314760 21123717 23177712 28164956 28972140 35206195 38629520 42247434 56329912 57944280 70412390 84494868 105618585 112659824 115888560 140824780 168989736 211237170 281649560 337979472 422474340 471763013 563299120 844948680 943526026 1415289039 1689897360 1887052052 2358815065 2830578078 3774104104 4717630130 5661156156 7076445195 7548208208 9435260260 11322312312 14152890390 18870520520 22644624624 28305780780 37741041040 56611561560 113223123120