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201041233061232 = 243471011049841103
BaseRepresentation
bin101101101101100010001111…
…010010000010010101110000
3222100211100120012100000120110
4231231202033102002111300
5202322324421130424412
61551325022323341320
760226515112311204
oct5555421722022560
9870740505300513
10201041233061232
1159070120a24453
121a66b17a221840
138824150c088b5
14379063a2d2b04
1518398256a8d3c
hexb6d88f482570

201041233061232 has 160 divisors (see below), whose sum is σ = 536169482956800. Its totient is φ = 64876552345600.

The previous prime is 201041233061189. The next prime is 201041233061233. The reversal of 201041233061232 is 232160332140102.

It is a super-2 number, since 2×2010412330612322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201041233061232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201041233061233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238600393 + ... + 239441495.

It is an arithmetic number, because the mean of its divisors is an integer number (3351059268480).

Almost surely, 2201041233061232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201041233061232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268084741478400).

201041233061232 is an abundant number, since it is smaller than the sum of its proper divisors (335128249895568).

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

201041233061232 is a wasteful number, since it uses less digits than its factorization.

201041233061232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842311 (or 842305 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 201041233061232 in words is "two hundred one trillion, forty-one billion, two hundred thirty-three million, sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 101 141 188 202 282 303 376 404 564 606 752 808 1049 1128 1212 1616 2098 2256 2424 3147 4196 4747 4848 6294 8392 9494 12588 14241 16784 18988 25176 28482 37976 49303 50352 56964 75952 98606 105949 113928 147909 197212 211898 227856 295818 317847 394424 423796 591636 635694 788848 841103 847592 1183272 1271388 1682206 1695184 2366544 2523309 2542776 3364412 4979603 5046618 5085552 6728824 9959206 10093236 13457648 14938809 19918412 20186472 29877618 39531841 39836824 40372944 59755236 79063682 79673648 84951403 118595523 119510472 158127364 169902806 237191046 239020944 254854209 316254728 339805612 474382092 509708418 632509456 679611224 882317047 948764184 1019416836 1359222448 1764634094 1897528368 2038833672 2646951141 3529268188 3992715941 4077667344 5293902282 7058536376 7985431882 10587804564 11978147823 14117072752 15970863764 21175609128 23956295646 31941727528 41468901209 42351218256 47912591292 63883455056 82937802418 89114021747 95825182584 124406703627 165875604836 178228043494 191650365168 248813407254 267342065241 331751209672 356456086988 497626814508 534684130482 663502419344 712912173976 995253629016 1069368260964 1425824347952 1990507258032 2138736521928 4188359022109 4277473043856 8376718044218 12565077066327 16753436088436 25130154132654 33506872176872 50260308265308 67013744353744 100520616530616 201041233061232