Search a number
-
+
101131202120 = 23513214960237
BaseRepresentation
bin101111000101111100…
…0111010111001001000
3100200001000012100211112
41132023320322321020
53124104041431440
6114243052345452
710210061014604
oct1361370727110
9320030170745
10101131202120
1139986a21a93
1217724775288
1396c8c96600
144c753a2504
15296d6d5965
hex178be3ae48

101131202120 has 48 divisors (see below), whose sum is σ = 246395119860. Its totient is φ = 37340749056.

The previous prime is 101131202119. The next prime is 101131202141. The reversal of 101131202120 is 21202131101.

It can be written as a sum of positive squares in 6 ways, for example, as 10140892804 + 90990309316 = 100702^2 + 301646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101131202095 and 101131202104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7473359 + ... + 7486878.

Almost surely, 2101131202120 is an apocalyptic number.

101131202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101131202120 is an abundant number, since it is smaller than the sum of its proper divisors (145263917740).

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

101131202120 is a wasteful number, since it uses less digits than its factorization.

101131202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14960274 (or 14960257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101131202120 its reverse (21202131101), we get a palindrome (122333333221).

The spelling of 101131202120 in words is "one hundred one billion, one hundred thirty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 14960237 29920474 59840948 74801185 119681896 149602370 194483081 299204740 388966162 598409480 777932324 972415405 1555864648 1944830810 2528280053 3889661620 5056560106 7779323240 10113120212 12641400265 20226240424 25282800530 50565601060 101131202120