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103525021332 = 223223717922291
BaseRepresentation
bin110000001101010010…
…0100111011010010100
3100220012211120222110100
41200122210213122110
53144004401140312
6115320404254100
710323306106425
oct1403244473224
9326184528410
10103525021332
113a9a51a2877
12180923a1330
1399babc9b95
14502129364c
152a5d93a5dc
hex181a927694

103525021332 has 144 divisors (see below), whose sum is σ = 280429793280. Its totient is φ = 32129697600.

The previous prime is 103525021319. The next prime is 103525021337. The reversal of 103525021332 is 233120525301.

It is a happy number.

103525021332 is a `hidden beast` number, since 1 + 0 + 3 + 525 + 0 + 2 + 133 + 2 = 666.

103525021332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103525021296 and 103525021305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103525021337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4633107 + ... + 4655397.

It is an arithmetic number, because the mean of its divisors is an integer number (1947429120).

Almost surely, 2103525021332 is an apocalyptic number.

103525021332 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 103525021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140214896640).

103525021332 is an abundant number, since it is smaller than the sum of its proper divisors (176904771948).

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

103525021332 is a wasteful number, since it uses less digits than its factorization.

103525021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22474 (or 22469 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 103525021332 its reverse (233120525301), we get a palindrome (336645546633).

The spelling of 103525021332 in words is "one hundred three billion, five hundred twenty-five million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 79 92 138 142 158 207 213 237 276 284 316 414 426 474 639 711 828 852 948 1278 1422 1633 1817 2556 2844 3266 3634 4899 5451 5609 6532 7268 9798 10902 11218 14697 16353 16827 19596 21804 22291 22436 29394 32706 33654 44582 50481 58788 65412 66873 67308 89164 100962 129007 133746 200619 201924 258014 267492 387021 401238 512693 516028 774042 802476 1025386 1161063 1538079 1548084 1582661 1760989 2050772 2322126 3076158 3165322 3521978 4614237 4644252 4747983 5282967 6152316 6330644 7043956 9228474 9495966 10565934 14243949 15848901 18456948 18991932 21131868 28487898 31697802 36401203 40502747 56975796 63395604 72802406 81005494 109203609 121508241 125030219 145604812 162010988 218407218 243016482 250060438 327610827 364524723 375090657 436814436 486032964 500120876 655221654 729049446 750181314 1125271971 1310443308 1458098892 1500362628 2250543942 2875695037 4501087884 5751390074 8627085111 11502780148 17254170222 25881255333 34508340444 51762510666 103525021332