Search a number
-
+
54221311521 = 33131723974073
BaseRepresentation
bin110010011111110101…
…111000111000100001
312011221202222000102000
4302133311320320201
51342021123432041
640524154514213
73626440354266
oct623765707041
9164852860360
1054221311521
1120aa4575963
12a612735969
13516149aab0
1428a521326d
151625283bb6
hexc9fd78e21

54221311521 has 128 divisors (see below), whose sum is σ = 96587043840. Its totient is φ = 29721821184.

The previous prime is 54221311493. The next prime is 54221311523. The reversal of 54221311521 is 12511312245.

It is a happy number.

54221311521 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 131 + 1 + 521 = 666.

It is not a de Polignac number, because 54221311521 - 219 = 54220787233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54221311523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13310341 + ... + 13314413.

It is an arithmetic number, because the mean of its divisors is an integer number (754586280).

Almost surely, 254221311521 is an apocalyptic number.

54221311521 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54221311521 is a deficient number, since it is larger than the sum of its proper divisors (42365732319).

54221311521 is a wasteful number, since it uses less digits than its factorization.

54221311521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4226 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 54221311521 its reverse (12511312245), we get a palindrome (66732623766).

The spelling of 54221311521 in words is "fifty-four billion, two hundred twenty-one million, three hundred eleven thousand, five hundred twenty-one".

Divisors: 1 3 9 13 17 23 27 39 51 69 97 117 153 207 221 291 299 351 391 459 621 663 873 897 1173 1261 1649 1989 2231 2619 2691 3519 3783 4073 4947 5083 5967 6693 8073 10557 11349 12219 14841 15249 20079 21437 29003 34047 36657 37927 44523 45747 52949 60237 64311 69241 87009 93679 109971 113781 137241 158847 192933 207723 261027 281037 341343 395081 476541 493051 578799 623169 783081 843111 900133 1024029 1185243 1217827 1429623 1479153 1592543 1869507 2529333 2700399 3555729 3653481 4437459 4777629 5136053 6716377 8101197 9086863 10667187 10960443 13312377 14332887 15408159 20149131 20703059 24303591 27260589 32881329 42998661 46224477 60447393 62109177 81781767 87312901 118129219 138673431 154476671 181342179 186327531 245345301 261938703 354387657 463430013 558982593 785816109 1063162971 1390290039 2008196723 2357448327 3189488913 4170870117 6024590169 18073770507 54221311521