Search a number
-
+
101645134420 = 22541123957481
BaseRepresentation
bin101111010101010000…
…1011010101001010100
3100201100211020211102011
41132222201122221110
53131132123300140
6114410051554004
710225601246524
oct1365241325124
9321324224364
10101645134420
113a120034a25
12178488bb904
13977b5b906b
144cc3743684
15299d8a1cea
hex17aa85aa54

101645134420 has 24 divisors (see below), whose sum is σ = 218660998248. Its totient is φ = 39666393600.

The previous prime is 101645134337. The next prime is 101645134429. The reversal of 101645134420 is 24431546101.

It can be written as a sum of positive squares in 4 ways, for example, as 13011508624 + 88633625796 = 114068^2 + 297714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101645134429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61977921 + ... + 61979560.

It is an arithmetic number, because the mean of its divisors is an integer number (9110874927).

Almost surely, 2101645134420 is an apocalyptic number.

101645134420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101645134420 is an abundant number, since it is smaller than the sum of its proper divisors (117015863828).

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

101645134420 is a wasteful number, since it uses less digits than its factorization.

101645134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123957531 (or 123957529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 101645134420 in words is "one hundred one billion, six hundred forty-five million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 123957481 247914962 495829924 619787405 1239574810 2479149620 5082256721 10164513442 20329026884 25411283605 50822567210 101645134420