Search a number
-
+
101022435530424 = 23351730211101183
BaseRepresentation
bin10110111110000100011110…
…011000100101011010111000
3111020200122120020010222200000
4112332010132120211122320
5101220122421443433144
6554505022144313000
730164426061563052
oct2676043630453270
9436618506128600
10101022435530424
112a209413231151
12b3b69a9312760
13444a4b4565375
141ad3724bac8d2
15ba2c5a9e5769
hex5be11e6256b8

101022435530424 has 192 divisors, whose sum is σ = 300439110666240. Its totient is φ = 31691950824960.

The previous prime is 101022435530411. The next prime is 101022435530431. The reversal of 101022435530424 is 424035534220101.

It is a happy number.

101022435530424 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 22 + 43 + 553 + 0 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998362537 + ... + 998463719.

It is an arithmetic number, because the mean of its divisors is an integer number (1564787034720).

Almost surely, 2101022435530424 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 101022435530424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150219555333120).

101022435530424 is an abundant number, since it is smaller than the sum of its proper divisors (199416675135816).

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

101022435530424 is a wasteful number, since it uses less digits than its factorization.

101022435530424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131432 (or 131416 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 101022435530424 its reverse (424035534220101), we get a palindrome (525057969750525).

The spelling of 101022435530424 in words is "one hundred one trillion, twenty-two billion, four hundred thirty-five million, five hundred thirty thousand, four hundred twenty-four".