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2023110011130 = 23513191279213467
BaseRepresentation
bin11101011100001010110…
…000001110100011111010
321011102000000102001110020
4131130022300032203322
5231121312130324010
64145223124431310
7266110360233555
oct35341260164372
97142000361406
102023110011130
1170aaa594a23a
12288113548536
13118a17360980
146dcc1c1769c
153795bcbd470
hex1d70ac0e8fa

2023110011130 has 128 divisors (see below), whose sum is σ = 5508499046400. Its totient is φ = 471414898944.

The previous prime is 2023110011099. The next prime is 2023110011141. The reversal of 2023110011130 is 311100113202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9370657 + ... + 9584123.

It is an arithmetic number, because the mean of its divisors is an integer number (43035148800).

Almost surely, 22023110011130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023110011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754249523200).

2023110011130 is an abundant number, since it is smaller than the sum of its proper divisors (3485389035270).

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

2023110011130 is a wasteful number, since it uses less digits than its factorization.

2023110011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214788.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2023110011130 its reverse (311100113202), we get a palindrome (2334210124332).

The spelling of 2023110011130 in words is "two trillion, twenty-three billion, one hundred ten million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1279 1482 2470 2558 3705 3837 6395 7410 7674 12790 16627 19185 24301 33254 38370 48602 49881 72903 83135 99762 121505 145806 166270 213467 243010 249405 315913 364515 426934 498810 631826 640401 729030 947739 1067335 1280802 1579565 1895478 2134670 2775071 3159130 3202005 4055873 4738695 5550142 6404010 8111746 8325213 9477390 12167619 13875355 16650426 20279365 24335238 27750710 40558730 41626065 52726349 60838095 83252130 105452698 121676190 158179047 263631745 273024293 316358094 527263490 546048586 790895235 819072879 1365121465 1581790470 1638145758 2730242930 3549315809 4095364395 5187461567 7098631618 8190728790 10374923134 10647947427 15562384701 17746579045 21295894854 25937307835 31124769402 35493158090 51874615670 53239737135 67437000371 77811923505 106479474270 134874000742 155623847010 202311001113 337185001855 404622002226 674370003710 1011555005565 2023110011130