Search a number
-
+
10111000172 = 227131710131613
BaseRepresentation
bin10010110101010100…
…11001111001101100
3222002122122000201212
421122222121321230
5131201404001142
64351145453552
7505363040420
oct113252317154
928078560655
1010111000172
11431943a099
121b621a12b8
13c519b2b50
146bcbb8b80
153e29d6d82
hex25aa99e6c

10111000172 has 96 divisors (see below), whose sum is σ = 23095642752. Its totient is φ = 3758616576.

The previous prime is 10111000171. The next prime is 10111000183. The reversal of 10111000172 is 27100011101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10111000171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6267638 + ... + 6269250.

It is an arithmetic number, because the mean of its divisors is an integer number (240579612).

Almost surely, 210111000172 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 10111000172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11547821376).

10111000172 is an abundant number, since it is smaller than the sum of its proper divisors (12984642580).

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

10111000172 is a wasteful number, since it uses less digits than its factorization.

10111000172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 10111000172 its reverse (27100011101), we get a palindrome (37211011273).

The spelling of 10111000172 in words is "ten billion, one hundred eleven million, one hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1013 1547 1613 2026 3094 3226 4052 6188 6452 7091 11291 13169 14182 17221 20969 22582 26338 27421 28364 34442 41938 45164 52676 54842 68884 83876 92183 109684 120547 146783 184366 191947 223873 241094 293566 356473 368732 383894 447746 482188 587132 712946 767788 895492 1425892 1567111 1633969 2495311 3134222 3267938 4990622 6268444 6535876 9981244 11437783 21241597 22875566 27777473 42483194 45751132 55554946 84966388 111109892 148691179 194442311 297382358 361107149 388884622 594764716 722214298 777769244 1444428596 2527750043 5055500086 10111000172