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103444141332 = 223710716768917
BaseRepresentation
bin110000001010111000…
…0000101010100010100
3100220000012101211221210
41200111300011110110
53143323200010312
6115304354541420
710321304456610
oct1402560052424
9326005354853
10103444141332
113a9635804a4
121806b297870
1399a721c0ac
14501463c340
152a567b0e3c
hex1815c05514

103444141332 has 96 divisors (see below), whose sum is σ = 280100395008. Its totient is φ = 29103502464.

The previous prime is 103444141321. The next prime is 103444141337. The reversal of 103444141332 is 233141444301.

It is a self number, because there is not a number n which added to its sum of digits gives 103444141332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103444141337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466538 + ... + 1535454.

It is an arithmetic number, because the mean of its divisors is an integer number (2917712448).

Almost surely, 2103444141332 is an apocalyptic number.

103444141332 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 103444141332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140050197504).

103444141332 is an abundant number, since it is smaller than the sum of its proper divisors (176656253676).

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

103444141332 is a wasteful number, since it uses less digits than its factorization.

103444141332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69205 (or 69203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 103444141332 its reverse (233141444301), we get a palindrome (336585585633).

The spelling of 103444141332 in words is "one hundred three billion, four hundred forty-four million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 167 214 321 334 428 501 642 668 749 1002 1169 1284 1498 2004 2247 2338 2996 3507 4494 4676 7014 8988 14028 17869 35738 53607 68917 71476 107214 125083 137834 206751 214428 250166 275668 375249 413502 482419 500332 750498 827004 964838 1447257 1500996 1929676 2894514 5789028 7374119 11509139 14748238 22122357 23018278 29496476 34527417 44244714 46036556 51618833 69054834 80563973 88489428 103237666 138109668 154856499 161127946 206475332 241691919 309712998 322255892 483383838 619425996 966767676 1231477873 2462955746 3694433619 4925911492 7388867238 8620345111 14777734476 17240690222 25861035333 34481380444 51722070666 103444141332