Search a number
-
+
2023110302010 = 2357149179361211
BaseRepresentation
bin11101011100001010110…
…001010101100100111010
321011102000000221211110120
4131130022301111210322
5231121312214131020
64145223134554110
7266110362554610
oct35341261254472
97142000854416
102023110302010
1170aaa6028836
12288113668936
13118a174331a5
146dcc1c916b0
153795bd29740
hex1d70ac5593a

2023110302010 has 128 divisors (see below), whose sum is σ = 5617569024000. Its totient is φ = 456754379520.

The previous prime is 2023110302009. The next prime is 2023110302027. The reversal of 2023110302010 is 102030113202.

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, 5420305 + ... + 5781515.

It is an arithmetic number, because the mean of its divisors is an integer number (43887258000).

Almost surely, 22023110302010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023110302010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808784512000).

2023110302010 is an abundant number, since it is smaller than the sum of its proper divisors (3594458721990).

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

2023110302010 is a wasteful number, since it uses less digits than its factorization.

2023110302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361556.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2023110302010 its reverse (102030113202), we get a palindrome (2125140415212).

The spelling of 2023110302010 in words is "two trillion, twenty-three billion, one hundred ten million, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 179 210 298 358 447 537 745 894 895 1043 1074 1253 1490 1790 2086 2235 2506 2685 3129 3759 4470 5215 5370 6258 6265 7518 10430 12530 15645 18795 26671 31290 37590 53342 80013 133355 160026 186697 266710 361211 373394 400065 560091 722422 800130 933485 1083633 1120182 1806055 1866970 2167266 2528477 2800455 3612110 5056954 5418165 5600910 7585431 10836330 12642385 15170862 25284770 37927155 53820439 64656769 75854310 107640878 129313538 161461317 193970307 269102195 322922634 323283845 376743073 387940614 452597383 538204390 646567690 753486146 807306585 905194766 969851535 1130229219 1357792149 1614613170 1883715365 1939703070 2260458438 2262986915 2715584298 3767430730 4525973830 5651146095 6788960745 9633858581 11302292190 13577921490 19267717162 28901575743 48169292905 57803151486 67437010067 96338585810 134874020134 144507878715 202311030201 289015757430 337185050335 404622060402 674370100670 1011555151005 2023110302010