Search a number
-
+
102550331352 = 233710913940289
BaseRepresentation
bin101111110000001111…
…0011101111111011000
3100210200220112121011110
41133200132131333120
53140010341100402
6115035545300320
710260202301610
oct1374036357730
9323626477143
10102550331352
113a544a96867
1217a5ba946a0
139893cb2051
144d6ba53a40
152a030a856c
hex17e079dfd8

102550331352 has 128 divisors (see below), whose sum is σ = 297823680000. Its totient is φ = 28821712896.

The previous prime is 102550331339. The next prime is 102550331371. The reversal of 102550331352 is 253133055201.

It is a super-3 number, since 3×1025503313523 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525224 + ... + 2565512.

It is an arithmetic number, because the mean of its divisors is an integer number (2326747500).

Almost surely, 2102550331352 is an apocalyptic number.

102550331352 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 102550331352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148911840000).

102550331352 is an abundant number, since it is smaller than the sum of its proper divisors (195273348648).

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

102550331352 is a wasteful number, since it uses less digits than its factorization.

102550331352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40553 (or 40549 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 102550331352 its reverse (253133055201), we get a palindrome (355683386553).

The spelling of 102550331352 in words is "one hundred two billion, five hundred fifty million, three hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 139 168 218 278 327 417 436 556 654 763 834 872 973 1112 1308 1526 1668 1946 2289 2616 2919 3052 3336 3892 4578 5838 6104 7784 9156 11676 15151 18312 23352 30302 40289 45453 60604 80578 90906 106057 120867 121208 161156 181812 212114 241734 282023 318171 322312 363624 424228 483468 564046 636342 846069 848456 966936 1128092 1272684 1692138 2256184 2545368 3384276 4391501 5600171 6768552 8783002 11200342 13174503 16800513 17566004 22400684 26349006 30740507 33601026 35132008 39201197 44801368 52698012 61481014 67202052 78402394 92221521 105396024 117603591 122962028 134404104 156804788 184443042 235207182 245924056 313609576 368886084 470414364 610418639 737772168 940828728 1220837278 1831255917 2441674556 3662511834 4272930473 4883349112 7325023668 8545860946 12818791419 14650047336 17091721892 25637582838 34183443784 51275165676 102550331352