Search a number
-
+
106437021373101 = 3193154433375599
BaseRepresentation
bin11000001100110111001100…
…110110011001001010101101
3111221212021120000200001201110
4120030313030312121022231
5102422331004432414401
61014212254222302233
731263551420061006
oct3014671466311255
9457767500601643
10106437021373101
1130a06761837541
12bb3025b127979
134750c77a564b3
141c3d8179301ad
15c48a103b69d6
hex60cdccd992ad

106437021373101 has 16 divisors (see below), whose sum is σ = 142015650739200. Its totient is φ = 70908216659760.

The previous prime is 106437021373091. The next prime is 106437021373141. The reversal of 106437021373101 is 101373120734601.

106437021373101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 106437021373101 - 26 = 106437021373037 is a prime.

It is a super-2 number, since 2×1064370213731012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106437021373101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106437021373141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29843500 + ... + 33219098.

It is an arithmetic number, because the mean of its divisors is an integer number (8875978171200).

Almost surely, 2106437021373101 is an apocalyptic number.

It is an amenable number.

106437021373101 is a deficient number, since it is larger than the sum of its proper divisors (35578629366099).

106437021373101 is a wasteful number, since it uses less digits than its factorization.

106437021373101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382976.

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 106437021373101 in words is "one hundred six trillion, four hundred thirty-seven billion, twenty-one million, three hundred seventy-three thousand, one hundred one".

Divisors: 1 3 1931 5443 5793 16329 3375599 10126797 10510433 31531299 6518281669 18373385357 19554845007 55120156071 35479007124367 106437021373101