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1121213110024 = 237237118716553
BaseRepresentation
bin10000010100001101100…
…000100101011100001000
310222012001021021102002101
4100110031200211130020
5121332221024010044
62215024520043144
7144001464121240
oct20241540453410
93865037242071
101121213110024
113a255a630587
121613700034b4
13819648b7697
143c3a4932b20
151e272e96cd4
hex1050d825708

1121213110024 has 128 divisors (see below), whose sum is σ = 2544118087680. Its totient is φ = 452842790400.

The previous prime is 1121213110019. The next prime is 1121213110033. The reversal of 1121213110024 is 4200113121211.

It is a junction number, because it is equal to n+sod(n) for n = 1121213109983 and 1121213110010.

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, 171095932 + ... + 171102484.

It is an arithmetic number, because the mean of its divisors is an integer number (19875922560).

Almost surely, 21121213110024 is an apocalyptic number.

1121213110024 is a gapful number since it is divisible by the number (14) 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 1121213110024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272059043840).

1121213110024 is an abundant number, since it is smaller than the sum of its proper divisors (1422904977656).

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

1121213110024 is a wasteful number, since it uses less digits than its factorization.

1121213110024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1121213110024 its reverse (4200113121211), we get a palindrome (5321326231235).

The spelling of 1121213110024 in words is "one trillion, one hundred twenty-one billion, two hundred thirteen million, one hundred ten thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 71 92 142 161 184 284 322 497 568 644 994 1288 1633 1871 1988 3266 3742 3976 6532 6553 7484 11431 13064 13097 13106 14968 22862 26194 26212 43033 45724 45871 52388 52424 86066 91448 91742 104776 132841 150719 172132 183484 265682 301231 301438 344264 366968 465263 531364 602462 602876 929887 930526 1055033 1062728 1204924 1205752 1859774 1861052 2110066 2409848 3055343 3256841 3719548 3722104 4220132 6110686 6513682 7439096 8440264 10701049 12221372 12260663 13027364 21387401 21402098 24442744 24521326 26054728 42774802 42804196 49042652 74907343 85549604 85608392 85824641 98085304 149814686 171099208 171649282 281995249 299629372 343298564 563990498 599258744 686597128 870507073 1127980996 1741014146 1973966743 2255961992 3482028292 3947933486 6093549511 6964056584 7895866972 12187099022 15791733944 20021662679 24374198044 40043325358 48748396088 80086650716 140151638753 160173301432 280303277506 560606555012 1121213110024