Search a number
-
+
103274107904 = 2101121276563
BaseRepresentation
bin110000000101110011…
…1011101010000000000
3100212120100110020221102
41200023213131100000
53143001132423104
6115235442313532
710314141301412
oct1401347352000
9325510406842
10103274107904
113a8865a5900
12180223588a8
13997ac277b6
144dd9c1a9b2
152a468c5a1e
hex180b9dd400

103274107904 has 132 divisors (see below), whose sum is σ = 228743112192. Its totient is φ = 46566051840.

The previous prime is 103274107883. The next prime is 103274107907. The reversal of 103274107904 is 409701472301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103274107907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15732527 + ... + 15739089.

Almost surely, 2103274107904 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 103274107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114371556096).

103274107904 is an abundant number, since it is smaller than the sum of its proper divisors (125469004288).

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

103274107904 is a wasteful number, since it uses less digits than its factorization.

103274107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 103274107904 in words is "one hundred three billion, two hundred seventy-four million, one hundred seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 127 128 176 242 254 256 352 484 508 512 704 968 1016 1024 1397 1408 1936 2032 2794 2816 3872 4064 5588 5632 6563 7744 8128 11176 11264 13126 15367 15488 16256 22352 26252 30734 30976 32512 44704 52504 61468 61952 65024 72193 89408 105008 122936 123904 130048 144386 178816 210016 245872 288772 357632 420032 491744 577544 715264 794123 833501 840064 983488 1155088 1430528 1588246 1667002 1680128 1966976 2310176 3176492 3334004 3360256 3933952 4620352 6352984 6668008 6720512 7867904 9168511 9240704 12705968 13336016 15735808 18337022 18481408 25411936 26672032 36674044 36962816 50823872 53344064 73348088 73925632 100853621 101647744 106688128 146696176 201707242 203295488 213376256 293392352 403414484 406590976 426752512 586784704 806828968 813181952 853505024 1173569408 1613657936 2347138816 3227315872 4694277632 6454631744 9388555264 12909263488 25818526976 51637053952 103274107904