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1120051151310 = 235713443926129
BaseRepresentation
bin10000010011001000010…
…000000100000111001110
310222002001021211210101110
4100103020100010013032
5121322331043320220
62214313331152450
7143630624462430
oct20231020040716
93862037753343
101120051151310
113a2013747823
121610a6a45726
138180ac52350
143c2d44a6650
151e205e72be0
hex104c84041ce

1120051151310 has 128 divisors (see below), whose sum is σ = 3315930670080. Its totient is φ = 235784779776.

The previous prime is 1120051151287. The next prime is 1120051151311. The reversal of 1120051151310 is 131511500211.

It is a super-2 number, since 2×11200511513102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120051151311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746326 + ... + 1672454.

It is an arithmetic number, because the mean of its divisors is an integer number (25905708360).

Almost surely, 21120051151310 is an apocalyptic number.

1120051151310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120051151310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657965335040).

1120051151310 is an abundant number, since it is smaller than the sum of its proper divisors (2195879518770).

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

1120051151310 is a wasteful number, since it uses less digits than its factorization.

1120051151310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926602.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 1120051151310 its reverse (131511500211), we get a palindrome (1251562651521).

The spelling of 1120051151310 in words is "one trillion, one hundred twenty billion, fifty-one million, one hundred fifty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 443 455 546 886 910 1329 1365 2215 2658 2730 3101 4430 5759 6202 6645 9303 11518 13290 15505 17277 18606 28795 31010 34554 40313 46515 57590 80626 86385 93030 120939 172770 201565 241878 403130 604695 926129 1209390 1852258 2778387 4630645 5556774 6482903 9261290 12039677 12965806 13891935 19448709 24079354 27783870 32414515 36119031 38897418 60198385 64829030 72238062 84277739 97243545 120396770 168555478 180595155 194487090 252833217 361190310 410275147 421388695 505666434 820550294 842777390 1230825441 1264166085 2051375735 2461650882 2528332170 2871926029 4102751470 5333576911 5743852058 6154127205 8615778087 10667153822 12308254410 14359630145 16000730733 17231556174 26667884555 28719260290 32001461466 37335038377 43078890435 53335769110 74670076754 80003653665 86157780870 112005115131 160007307330 186675191885 224010230262 373350383770 560025575655 1120051151310