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103213330024 = 23723313256021
BaseRepresentation
bin110000000011111111…
…1100110111001101000
3100212102010002102100211
41200013333212321220
53142340103030044
6115225431510504
710312502554420
oct1400777467150
9325363072324
10103213330024
113a855263552
1218005b28434
13996b46775c
144dd1b19480
152a413bc634
hex1807fe6e68

103213330024 has 64 divisors (see below), whose sum is σ = 231525815040. Its totient is φ = 42175710720.

The previous prime is 103213330019. The next prime is 103213330109. The reversal of 103213330024 is 420033312301.

It is a junction number, because it is equal to n+sod(n) for n = 103213329977 and 103213330004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275134 + ... + 531154.

It is an arithmetic number, because the mean of its divisors is an integer number (3617590860).

Almost surely, 2103213330024 is an apocalyptic number.

103213330024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103213330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115762907520).

103213330024 is an abundant number, since it is smaller than the sum of its proper divisors (128312485016).

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

103213330024 is a wasteful number, since it uses less digits than its factorization.

103213330024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256370 (or 256366 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103213330024 its reverse (420033312301), we get a palindrome (523246642325).

The spelling of 103213330024 in words is "one hundred three billion, two hundred thirteen million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 313 322 626 644 1252 1288 2191 2504 4382 7199 8764 14398 17528 28796 50393 57592 100786 201572 256021 403144 512042 1024084 1792147 2048168 3584294 5888483 7168588 11776966 14337176 23553932 41219381 47107864 80134573 82438762 160269146 164877524 320538292 329755048 560942011 641076584 1121884022 1843095179 2243768044 3686190358 4487536088 7372380716 12901666253 14744761432 25803332506 51606665012 103213330024