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113321305120152 = 233137239499288989
BaseRepresentation
bin11001110001000010101100…
…001000110001110110011000
3112212020102002121002022211110
4121301002230020301312120
5104323124013102321102
61041003031111100320
732604123403320243
oct3161025410616630
9485212077068743
10113321305120152
1133120328507288
12108625179716a0
134b301cb81621c
141ddaacd71625a
15d17b31c3386c
hex6710ac231d98

113321305120152 has 128 divisors (see below), whose sum is σ = 287140464000000. Its totient is φ = 37266190918656.

The previous prime is 113321305120141. The next prime is 113321305120319. The reversal of 113321305120152 is 251021503123311.

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 31 ways as a sum of consecutive naturals, for example, 391985674 + ... + 392274662.

It is an arithmetic number, because the mean of its divisors is an integer number (2243284875000).

Almost surely, 2113321305120152 is an apocalyptic number.

113321305120152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113321305120152 is an abundant number, since it is smaller than the sum of its proper divisors (173819158879848).

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

113321305120152 is a wasteful number, since it uses less digits than its factorization.

113321305120152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289873 (or 289869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 113321305120152 its reverse (251021503123311), we get a palindrome (364342808243463).

The spelling of 113321305120152 in words is "one hundred thirteen trillion, three hundred twenty-one billion, three hundred five million, one hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 137 239 274 411 478 499 548 717 822 956 998 1096 1434 1497 1644 1912 1996 2868 2994 3288 3992 5736 5988 11976 32743 65486 68363 98229 119261 130972 136726 196458 205089 238522 261944 273452 288989 357783 392916 410178 477044 546904 577978 715566 785832 820356 866967 954088 1155956 1431132 1640712 1733934 2311912 2862264 3467868 6935736 16338757 32677514 39591493 49016271 65355028 69068371 79182986 98032542 118774479 130710056 138136742 144205511 158365972 196065084 207205113 237548958 276273484 288411022 316731944 392130168 414410226 432616533 475097916 552546968 576822044 828820452 865233066 950195832 1153644088 1657640904 1730466132 3460932264 9462366827 18924733654 19756155007 28387100481 34465117129 37849467308 39512310014 56774200962 59268465021 68930234258 75698934616 79024620028 103395351387 113548401924 118536930042 137860468516 158049240056 206790702774 227096803848 237073860084 275720937032 413581405548 474147720168 827162811096 4721721046673 9443442093346 14165163140019 18886884186692 28330326280038 37773768373384 56660652560076 113321305120152