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10103202032 = 2471134723633
BaseRepresentation
bin10010110100011001…
…01010000011110000
3222002002221211200212
421122030222003300
5131142404431112
64350310403252
7505236541340
oct113214520360
928062854625
1010103202032
114314aa3250
121b5b660528
13c501b2571
146bbb48d20
153e1e96522
hex25a32a0f0

10103202032 has 80 divisors (see below), whose sum is σ = 24476504832. Its totient is φ = 3924802560.

The previous prime is 10103202023. The next prime is 10103202037. The reversal of 10103202032 is 23020230101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10103201998 and 10103202016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103202037) 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, 415688 + ... + 439320.

Almost surely, 210103202032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238252416).

10103202032 is an abundant number, since it is smaller than the sum of its proper divisors (14373302800).

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

10103202032 is a wasteful number, since it uses less digits than its factorization.

10103202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24006 (or 24000 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10103202032 its reverse (23020230101), we get a palindrome (33123432133).

The spelling of 10103202032 in words is "ten billion, one hundred three million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 347 616 694 1232 1388 2429 2776 3817 4858 5552 7634 9716 15268 19432 23633 26719 30536 38864 47266 53438 61072 94532 106876 165431 189064 213752 259963 330862 378128 427504 519926 661724 1039852 1323448 1819741 2079704 2646896 3639482 4159408 7278964 8200651 14557928 16401302 29115856 32802604 57404557 65605208 90207161 114809114 131210416 180414322 229618228 360828644 459236456 631450127 721657288 918472912 1262900254 1443314576 2525800508 5051601016 10103202032