Search a number
-
+
102052030432 = 25112112276053
BaseRepresentation
bin101111100001011000…
…1100110011111100000
3100202102011220021210211
41133002301212133200
53133000304433212
6114514305103504
710241641642342
oct1370261463740
9322364807724
10102052030432
113a30978aa20
1217941027b94
1398149a3431
144d217c1292
1529c44789a7
hex17c2c667e0

102052030432 has 96 divisors (see below), whose sum is σ = 221225364864. Its totient is φ = 45956467200.

The previous prime is 102052030427. The next prime is 102052030439. The reversal of 102052030432 is 234030250201.

102052030432 is digitally balanced in base 3, 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102052030439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16856718 + ... + 16862770.

It is an arithmetic number, because the mean of its divisors is an integer number (2304430884).

Almost surely, 2102052030432 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 102052030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110612682432).

102052030432 is an abundant number, since it is smaller than the sum of its proper divisors (119173334432).

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

102052030432 is a wasteful number, since it uses less digits than its factorization.

102052030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 102052030432 its reverse (234030250201), we get a palindrome (336082280633).

The spelling of 102052030432 in words is "one hundred two billion, fifty-two million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 211 227 352 422 454 844 908 1688 1816 2321 2497 3376 3632 4642 4994 6053 6752 7264 9284 9988 12106 18568 19976 24212 37136 39952 47897 48424 66583 74272 79904 95794 96848 133166 191588 193696 266332 383176 526867 532664 766352 1053734 1065328 1277183 1374031 1532704 2107468 2130656 2554366 2748062 4214936 5108732 5496124 8429872 10217464 10992248 14049013 15114341 16859744 20434928 21984496 28098026 30228682 40869856 43968992 56196052 60457364 112392104 120914728 224784208 241829456 289920541 449568416 483658912 579841082 1159682164 2319364328 3189125951 4638728656 6378251902 9277457312 12756503804 25513007608 51026015216 102052030432