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101004440220123 = 31137151015477963
BaseRepresentation
bin10110111101110011101101…
…110001111011000111011011
3111020121221010002210111200220
4112331303231301323013123
5101214324043144020443
6554452444350331123
730163221121142406
oct2675635561730733
9436557102714626
10101004440220123
112a201819362180
12b3b34067b9aa3
1344488a72b756b
141ad28d8c42d3d
15ba2555c66a83
hex5bdcedc7b1db

101004440220123 has 32 divisors (see below), whose sum is σ = 150896259286272. Its totient is φ = 59556402864000.

The previous prime is 101004440220113. The next prime is 101004440220143. The reversal of 101004440220123 is 321022044400101.

It is not a de Polignac number, because 101004440220123 - 25 = 101004440220091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101004440220093 and 101004440220102.

It is not an unprimeable number, because it can be changed into a prime (101004440220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15699340 + ... + 21177302.

It is an arithmetic number, because the mean of its divisors is an integer number (4715508102696).

Almost surely, 2101004440220123 is an apocalyptic number.

101004440220123 is a deficient number, since it is larger than the sum of its proper divisors (49891819066149).

101004440220123 is a wasteful number, since it uses less digits than its factorization.

101004440220123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493115.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101004440220123 its reverse (321022044400101), we get a palindrome (422026484620224).

The spelling of 101004440220123 in words is "one hundred one trillion, four billion, four hundred forty million, two hundred twenty thousand, one hundred twenty-three".

Divisors: 1 3 11 33 37 111 407 1221 15101 45303 166111 498333 558737 1676211 5477963 6146107 16433889 18438321 60257593 180772779 202684631 608053893 2229530941 6688592823 82722719263 248168157789 909949911893 2729849735679 3060740612731 9182221838193 33668146740041 101004440220123