Search a number
-
+
354500105353100 = 225272917463059377
BaseRepresentation
bin101000010011010100111110…
…0110110100011011110001100
31201111011212201212020202110022
41100212221330312203132030
5332431112203432244400
63253543033345001312
7134445534040452620
oct12046517466433614
91644155655222408
10354500105353100
11a2a55717744a53
12339145b4023238
13122a62a783a4a5
146377c7a589180
152aeb56446cb85
hex1426a7cda378c

354500105353100 has 72 divisors (see below), whose sum is σ = 909476132406240. Its totient is φ = 117351759006720.

The previous prime is 354500105353061. The next prime is 354500105353109. The reversal of 354500105353100 is 1353501005453.

It is a super-2 number, since 2×3545001053531002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (354500105353109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8731509389 + ... + 8731549988.

Almost surely, 2354500105353100 is an apocalyptic number.

It is an amenable number.

354500105353100 is an abundant number, since it is smaller than the sum of its proper divisors (554976027053140).

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

354500105353100 is a wasteful number, since it uses less digits than its factorization.

354500105353100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17463059427 (or 17463059420 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

Adding to 354500105353100 its reverse (1353501005453), we get a palindrome (355853606358553).

The spelling of 354500105353100 in words is "three hundred fifty-four trillion, five hundred billion, one hundred five million, three hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 17463059377 34926118754 69852237508 87315296885 122241415639 174630593770 244482831278 349261187540 436576484425 488965662556 506428721933 611207078195 873152968850 1012857443866 1222414156390 1746305937700 2025714887732 2444828312780 2532143609665 3056035390975 3545001053531 5064287219330 6112070781950 7090002107062 10128574438660 12224141563900 12660718048325 14180004214124 17725005267655 25321436096650 35450010535310 50642872193300 70900021070620 88625026338275 177250052676550 354500105353100