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10103202432 = 273210385147
BaseRepresentation
bin10010110100011001…
…01010001010000000
3222002002221212020200
421122030222022000
5131142404434212
64350310405200
7505236542451
oct113214521200
928062855220
1010103202432
114314aa3584
121b5b660800
13c501b27bb
146bbb49128
153e1e966dc
hex25a32a280

10103202432 has 96 divisors (see below), whose sum is σ = 29355624480. Its totient is φ = 3334998528.

The previous prime is 10103202427. The next prime is 10103202449. The reversal of 10103202432 is 23420230101.

10103202432 is a `hidden beast` number, since 101 + 0 + 320 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76083 + ... + 161229.

It is an arithmetic number, because the mean of its divisors is an integer number (305787755).

Almost surely, 210103202432 is an apocalyptic number.

10103202432 is a gapful number since it is divisible by the number (12) 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 10103202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677812240).

10103202432 is an abundant number, since it is smaller than the sum of its proper divisors (19252422048).

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

10103202432 is a wasteful number, since it uses less digits than its factorization.

10103202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85270 (or 85255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10103202432 its reverse (23420230101), we get a palindrome (33523432533).

The spelling of 10103202432 in words is "ten billion, one hundred three million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 288 309 384 412 576 618 824 927 1152 1236 1648 1854 2472 3296 3708 4944 6592 7416 9888 13184 14832 19776 29664 39552 59328 85147 118656 170294 255441 340588 510882 681176 766323 1021764 1362352 1532646 2043528 2724704 3065292 4087056 5449408 6130584 8174112 8770141 10898816 12261168 16348224 17540282 24522336 26310423 32696448 35080564 49044672 52620846 70161128 78931269 98089344 105241692 140322256 157862538 210483384 280644512 315725076 420966768 561289024 631450152 841933536 1122578048 1262900304 1683867072 2525800608 3367734144 5051601216 10103202432