Search a number
-
+
54101000430 = 232517231537397
BaseRepresentation
bin110010011000101010…
…111100000011101110
312011122101120120121200
4302120222330003232
51341244324003210
640504220110330
73623446626141
oct623052740356
9164571516550
1054101000430
1120a42671404
12a59a3953a6
1351425953b9
142893256058
15161991b0c0
hexc98abc0ee

54101000430 has 96 divisors (see below), whose sum is σ = 155412489024. Its totient is φ = 12987921408.

The previous prime is 54101000333. The next prime is 54101000449. The reversal of 54101000430 is 3400010145.

It is a happy number.

54101000430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 733509 + ... + 803888.

It is an arithmetic number, because the mean of its divisors is an integer number (1618880094).

Almost surely, 254101000430 is an apocalyptic number.

54101000430 is an abundant number, since it is smaller than the sum of its proper divisors (101311488594).

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

54101000430 is a wasteful number, since it uses less digits than its factorization.

54101000430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537450 (or 1537447 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 54101000430 its reverse (3400010145), we get a palindrome (57501010575).

The spelling of 54101000430 in words is "fifty-four billion, one hundred one million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 3519 3910 5865 7038 11730 17595 35190 1537397 3074794 4612191 7686985 9224382 13836573 15373970 23060955 26135749 27673146 35360131 46121910 52271498 69182865 70720262 78407247 106080393 130678745 138365730 156814494 176800655 212160786 235221741 261357490 318241179 353601310 392036235 470443482 530401965 601122227 636482358 784072470 1060803930 1176108705 1202244454 1591205895 1803366681 2352217410 3005611135 3182411790 3606733362 5410100043 6011222270 9016833405 10820200086 18033666810 27050500215 54101000430