Search a number
-
+
101324211133340 = 225139732091251983
BaseRepresentation
bin10111000010011101100001…
…100111001001101110011100
3111021202111111111011222201002
4113002131201213021232130
5101240043441022231330
6555255411111005432
730225301260101336
oct2702354147115634
9437674444158632
10101324211133340
112a3153a1739178
12b445389369878
13446caa81c1390
141b04191a76456
15baaa1dedde45
hex5c27619c9b9c

101324211133340 has 96 divisors (see below), whose sum is σ = 231583286511360. Its totient is φ = 37014757687296.

The previous prime is 101324211133331. The next prime is 101324211133363. The reversal of 101324211133340 is 43331112423101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80304989 + ... + 81556971.

It is an arithmetic number, because the mean of its divisors is an integer number (2412325901160).

Almost surely, 2101324211133340 is an apocalyptic number.

101324211133340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101324211133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115791643255680).

101324211133340 is an abundant number, since it is smaller than the sum of its proper divisors (130259075378020).

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

101324211133340 is a wasteful number, since it uses less digits than its factorization.

101324211133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255311 (or 1255309 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 101324211133340 its reverse (43331112423101), we get a palindrome (144655323556441).

The spelling of 101324211133340 in words is "one hundred one trillion, three hundred twenty-four billion, two hundred eleven million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 3209 5044 6305 6418 12610 12836 16045 25220 32090 41717 64180 83434 166868 208585 311273 417170 622546 834340 1245092 1251983 1556365 2503966 3112730 4046549 5007932 6225460 6259915 8093098 12519830 16186196 16275779 20232745 25039660 32551558 40465490 65103116 80930980 81378895 121442351 162757790 242884702 325515580 485769404 607211755 1214423510 1578750563 2428847020 3157501126 4017613447 6315002252 7893752815 8035226894 15787505630 16070453788 20088067235 31575011260 40176134470 52228974811 80352268940 104457949622 208915899244 261144874055 389708504359 522289748110 779417008718 1044579496220 1558834017436 1948542521795 3897085043590 5066210556667 7794170087180 10132421113334 20264842226668 25331052783335 50662105566670 101324211133340