Search a number
-
+
100110103221 = 37311312973119
BaseRepresentation
bin101110100111100000…
…1101111001010110101
3100120101211211011110210
41131033001233022311
53120011141300341
6113553454540033
710142551560102
oct1351701571265
9316354734423
10100110103221
11395025a82a7
121749a807619
13959557ca8b
144bb9921aa9
15290dc37c16
hex174f06f2b5

100110103221 has 32 divisors (see below), whose sum is σ = 136655101440. Its totient is φ = 65172086784.

The previous prime is 100110103211. The next prime is 100110103229. The reversal of 100110103221 is 122301011001.

It is not a de Polignac number, because 100110103221 - 29 = 100110102709 is a prime.

It is a super-4 number, since 4×1001101032214 (a number of 45 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110103197 and 100110103206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110103229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32095300 + ... + 32098418.

It is an arithmetic number, because the mean of its divisors is an integer number (4270471920).

Almost surely, 2100110103221 is an apocalyptic number.

It is an amenable number.

100110103221 is a deficient number, since it is larger than the sum of its proper divisors (36544998219).

100110103221 is a wasteful number, since it uses less digits than its factorization.

100110103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100110103221 its reverse (122301011001), we get a palindrome (222411114222).

The spelling of 100110103221 in words is "one hundred billion, one hundred ten million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 3 73 113 219 339 1297 3119 3891 8249 9357 24747 94681 146561 227687 284043 352447 439683 683061 1057341 4045343 10698953 12136029 25728631 32096859 77185893 295310039 457123759 885930117 1371371277 33370034407 100110103221