Search a number
-
+
101351425014 = 23375339712743
BaseRepresentation
bin101111001100100000…
…1000000001111110110
3100200121100120211212000
41132121001000033312
53130031431100024
6114321000440130
710215403620060
oct1363101001766
9320540524760
10101351425014
1139a8a267784
1217786479046
1397327b1608
144c9672a730
152982bd6cc9
hex17990403f6

101351425014 has 128 divisors (see below), whose sum is σ = 262938286080. Its totient is φ = 28337392512.

The previous prime is 101351425009. The next prime is 101351425033. The reversal of 101351425014 is 410524153101.

101351425014 is a `hidden beast` number, since 1 + 0 + 13 + 5 + 142 + 501 + 4 = 666.

It is a super-2 number, since 2×1013514250142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 7947127 + ... + 7959869.

It is an arithmetic number, because the mean of its divisors is an integer number (2054205360).

Almost surely, 2101351425014 is an apocalyptic number.

101351425014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101351425014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131469143040).

101351425014 is an abundant number, since it is smaller than the sum of its proper divisors (161586861066).

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

101351425014 is a wasteful number, since it uses less digits than its factorization.

101351425014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13205 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 101351425014 its reverse (410524153101), we get a palindrome (511875578115).

The spelling of 101351425014 in words is "one hundred one billion, three hundred fifty-one million, four hundred twenty-five thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 397 477 742 794 954 1113 1191 1431 2226 2382 2779 2862 3339 3573 5558 6678 7146 8337 10017 10719 12743 16674 20034 21041 21438 25011 25486 38229 42082 50022 63123 75033 76458 89201 114687 126246 147287 150066 178402 189369 229374 267603 294574 344061 378738 441861 535206 568107 675379 688122 802809 883722 1136214 1325583 1350758 1605618 2026137 2408427 2651166 3976749 4052274 4727653 4816854 5058971 6078411 7953498 9455306 10117942 12156822 14182959 15176913 18235233 28365918 30353826 35412797 36470466 42548877 45530739 70825594 85097754 91061478 106238391 127646631 136592217 212476782 255293262 268125463 273184434 318715173 536250926 637430346 804376389 956145519 1608752778 1876878241 1912291038 2413129167 3753756482 4826258334 5630634723 7239387501 11261269446 14478775002 16891904169 33783808338 50675712507 101351425014