Search a number
-
+
20231022013202 = 271113107283333721
BaseRepresentation
bin1001001100110011001101…
…11000010110101100010010
32122122001210201010202002002
410212121212320112230102
510122431113113410302
6111010000405354002
74155433404521030
oct446314670265422
978561721122062
1020231022013202
11649aa23560980
122328aa8408902
13b39a14641a30
144dd2883c5550
152513c6a12c02
hex126666e16b12

20231022013202 has 128 divisors (see below), whose sum is σ = 41271234213888. Its totient is φ = 7182401932800.

The previous prime is 20231022013201. The next prime is 20231022013243.

It is a happy number.

20231022013202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20231022013201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60455702 + ... + 60789422.

It is an arithmetic number, because the mean of its divisors is an integer number (322431517296).

Almost surely, 220231022013202 is an apocalyptic number.

20231022013202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20231022013202 is an abundant number, since it is smaller than the sum of its proper divisors (21040212200686).

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

20231022013202 is a wasteful number, since it uses less digits than its factorization.

20231022013202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334144.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 2023102 and 2013202, that added together give a palindrome (4036304).

The spelling of 20231022013202 in words is "twenty trillion, two hundred thirty-one billion, twenty-two million, thirteen thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 107 143 154 182 214 283 286 566 749 1001 1177 1391 1498 1981 2002 2354 2782 3113 3679 3962 6226 7358 8239 9737 15301 16478 19474 21791 25753 30281 30602 40469 43582 51506 60562 80938 107107 211967 214214 283283 333091 333721 393653 423934 566566 666182 667442 787306 2331637 2336047 2755571 3670931 4330183 4338373 4663274 4672094 5511142 7341862 8660366 8676746 25696517 30311281 30368611 35708147 47722103 51393034 60622562 60737222 71416294 94443043 95444206 188886086 249957029 334054721 392789617 464205911 499914058 661101301 668109442 785579234 928411822 1038873473 1227759559 1322202602 2077746946 2455519118 2749527319 3249441377 5106265021 5499054638 6498882754 7272114311 8594316913 10105405601 10212530042 13505355149 14544228622 17188633826 20210811202 27010710298 35743855147 70737839207 71487710294 94537486043 111159461611 131370272813 141475678414 189074972086 222318923222 262740545626 778116231277 919591909691 1445073000943 1556232462554 1839183819382 2890146001886 10115511006601 20231022013202