Search a number
-
+
103054102452 = 223272388115053
BaseRepresentation
bin101111111111010000…
…0001100111110110100
3100212000000110211012100
41133332200030332310
53142023322234302
6115201543022100
710305530263200
oct1377640147664
9325000424170
10103054102452
113a783399514
1217b8073a930
139944487762
144db890bb00
152a32418d1c
hex17fe80cfb4

103054102452 has 108 divisors (see below), whose sum is σ = 303126350436. Its totient is φ = 29434487040.

The previous prime is 103054102433. The next prime is 103054102483. The reversal of 103054102452 is 254201450301.

103054102452 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 410 + 245 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84911628816 + 18142473636 = 291396^2 + 134694^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6838558 + ... + 6853610.

It is an arithmetic number, because the mean of its divisors is an integer number (2806725467).

Almost surely, 2103054102452 is an apocalyptic number.

103054102452 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 103054102452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151563175218).

103054102452 is an abundant number, since it is smaller than the sum of its proper divisors (200072247984).

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

103054102452 is a wasteful number, since it uses less digits than its factorization.

103054102452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18958 (or 18946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 103054102452 its reverse (254201450301), we get a palindrome (357255552753).

The spelling of 103054102452 in words is "one hundred three billion, fifty-four million, one hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3881 7762 11643 15053 15524 23286 27167 30106 34929 45159 46572 54334 60212 69858 81501 90318 105371 108668 135477 139716 163002 180636 190169 210742 244503 270954 316113 326004 380338 421484 489006 541908 570507 632226 737597 760676 948339 978012 1141014 1264452 1475194 1711521 1896678 2212791 2282028 2950388 3423042 3793356 4425582 6638373 6846084 8851164 13276746 26553492 58420693 116841386 175262079 233682772 350524158 408944851 525786237 701048316 817889702 1051572474 1226834553 1635779404 2103144948 2453669106 2862613957 3680503659 4907338212 5725227914 7361007318 8587841871 11450455828 14722014636 17175683742 25763525613 34351367484 51527051226 103054102452