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103112203032 = 233229184726737
BaseRepresentation
bin110000000000111110…
…1110101101100011000
3100212011001210122012200
41200001331311230120
53142133210444112
6115211420210200
710310134156506
oct1400175655430
9325131718180
10103112203032
113a803172323
1217b98099960
13995351acb7
144dc2513676
152a37593cdc
hex1801f75b18

103112203032 has 96 divisors (see below), whose sum is σ = 289059170400. Its totient is φ = 33166328832.

The previous prime is 103112202997. The next prime is 103112203111. The reversal of 103112203032 is 230302211301.

It is a super-2 number, since 2×1031122030322 (a number of 23 digits) contains 22 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 = 103112202996 and 103112203014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3843168 + ... + 3869904.

It is an arithmetic number, because the mean of its divisors is an integer number (3011033025).

Almost surely, 2103112203032 is an apocalyptic number.

103112203032 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 103112203032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529585200).

103112203032 is an abundant number, since it is smaller than the sum of its proper divisors (185946967368).

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

103112203032 is a wasteful number, since it uses less digits than its factorization.

103112203032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28625 (or 28618 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103112203032 its reverse (230302211301), we get a palindrome (333414414333).

The spelling of 103112203032 in words is "one hundred three billion, one hundred twelve million, two hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1847 2088 3694 5541 7388 11082 14776 16623 22164 26737 33246 44328 53474 53563 66492 80211 106948 107126 132984 160422 160689 213896 214252 240633 320844 321378 428504 481266 482067 641688 642756 775373 962532 964134 1285512 1550746 1925064 1928268 2326119 3101492 3856536 4652238 6202984 6978357 9304476 13956714 18608952 27913428 49383239 55826856 98766478 148149717 197532956 296299434 395065912 444449151 592598868 888898302 1185197736 1432113931 1777796604 2864227862 3555593208 4296341793 5728455724 8592683586 11456911448 12889025379 17185367172 25778050758 34370734344 51556101516 103112203032