Search a number
-
+
101013023202 = 237132352115439
BaseRepresentation
bin101111000010011011…
…0000110100111100010
3100122201202211020211120
41132010312012213202
53123333313220302
6114223231353110
710204124346630
oct1360466064742
9318652736746
10101013023202
1139926244463
12176b1082796
1396aa659560
144c637dc350
15296313e9bc
hex1784d869e2

101013023202 has 128 divisors (see below), whose sum is σ = 259973038080. Its totient is φ = 25431943680.

The previous prime is 101013023161. The next prime is 101013023273. The reversal of 101013023202 is 202320310101.

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, 6534999 + ... + 6550437.

It is an arithmetic number, because the mean of its divisors is an integer number (2031039360).

Almost surely, 2101013023202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101013023202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129986519040).

101013023202 is an abundant number, since it is smaller than the sum of its proper divisors (158960014878).

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

101013023202 is a wasteful number, since it uses less digits than its factorization.

101013023202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16008.

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

Adding to 101013023202 its reverse (202320310101), we get a palindrome (303333333303).

It can be divided in two parts, 10101 and 3023202, that added together give a palindrome (3033303).

The spelling of 101013023202 in words is "one hundred one billion, thirteen million, twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 521 546 598 897 966 1042 1563 1794 2093 3126 3647 4186 6279 6773 7294 10941 11983 12558 13546 15439 20319 21882 23966 30878 35949 40638 46317 47411 71898 83881 92634 94822 108073 142233 155779 167762 200707 216146 251643 284466 311558 324219 355097 401414 467337 503286 602121 648438 710194 934674 1065291 1090453 1204242 1404949 2130582 2180906 2485679 2809898 3271359 4214847 4616261 4971358 6542718 7457037 8043719 8429694 9232522 13848783 14914074 16087438 24131157 27697566 32313827 48262314 56306033 64627654 96941481 104568347 112612066 168918099 185005537 193882962 209136694 313705041 337836198 370011074 555016611 627410082 731978429 1110033222 1295038759 1463956858 2195935287 2405071981 2590077518 3885116277 4391870574 4810143962 7215215943 7770232554 14430431886 16835503867 33671007734 50506511601 101013023202