Search a number
-
+
10500022152 = 23323112373803
BaseRepresentation
bin10011100011101100…
…11001111110001000
31000002202122101120100
421301312121332020
5133001001202102
64453523525400
7521125500324
oct116166317610
930082571510
1010500022152
1144a8a97064
122050529860
13cb447c679
14718722984
15416c2ca1c
hex271d99f88

10500022152 has 96 divisors (see below), whose sum is σ = 29386356480. Its totient is φ = 3383475840.

The previous prime is 10500022139. The next prime is 10500022157. The reversal of 10500022152 is 25122000501.

10500022152 is a `hidden beast` number, since 10 + 500 + 0 + 2 + 2 + 152 = 666.

It is a super-2 number, since 2×105000221522 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10500022157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759083 + ... + 2762885.

It is an arithmetic number, because the mean of its divisors is an integer number (306107880).

Almost surely, 210500022152 is an apocalyptic number.

10500022152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500022152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693178240).

10500022152 is an abundant number, since it is smaller than the sum of its proper divisors (18886334328).

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

10500022152 is a wasteful number, since it uses less digits than its factorization.

10500022152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10500022152 its reverse (25122000501), we get a palindrome (35622022653).

The spelling of 10500022152 in words is "ten billion, five hundred million, twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1237 2232 2474 3711 3803 4948 7422 7606 9896 11133 11409 14844 15212 22266 22818 29688 30424 34227 38347 44532 45636 68454 76694 89064 91272 115041 117893 136908 153388 230082 235786 273816 306776 345123 353679 460164 471572 690246 707358 920328 943144 1061037 1380492 1414716 2122074 2760984 2829432 4244148 4704311 8488296 9408622 14112933 18817244 28225866 37634488 42338799 56451732 84677598 112903464 145833641 169355196 291667282 338710392 437500923 583334564 875001846 1166669128 1312502769 1750003692 2625005538 3500007384 5250011076 10500022152