Search a number
-
+
15102201024 = 263250951511
BaseRepresentation
bin11100001000010100…
…10100110011000000
31102222111110022010200
432010022110303000
5221412130413044
610534324325200
71043150406411
oct160412246300
942874408120
1015102201024
11644a887179
122b15843800
131568a80631
14a33a29808
155d5ca1369
hex384294cc0

15102201024 has 84 divisors (see below), whose sum is σ = 43373619120. Its totient is φ = 5024079360.

The previous prime is 15102200999. The next prime is 15102201029. The reversal of 15102201024 is 42010220151.

It is a super-3 number, since 3×151022010243 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 15102200988 and 15102201006.

It is not an unprimeable number, because it can be changed into a prime (15102201029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267429 + ... + 318939.

Almost surely, 215102201024 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 15102201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686809560).

15102201024 is an abundant number, since it is smaller than the sum of its proper divisors (28271418096).

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

15102201024 is a wasteful number, since it uses less digits than its factorization.

15102201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52038 (or 52025 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 15102201024 its reverse (42010220151), we get a palindrome (57112421175).

The spelling of 15102201024 in words is "fifteen billion, one hundred two million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 509 576 1018 1527 2036 3054 4072 4581 6108 8144 9162 12216 16288 18324 24432 32576 36648 48864 51511 73296 97728 103022 146592 154533 206044 293184 309066 412088 463599 618132 824176 927198 1236264 1648352 1854396 2472528 3296704 3708792 4945056 7417584 9890112 14835168 26219099 29670336 52438198 78657297 104876396 157314594 209752792 235971891 314629188 419505584 471943782 629258376 839011168 943887564 1258516752 1678022336 1887775128 2517033504 3775550256 5034067008 7551100512 15102201024