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103028211232 = 2567421114143
BaseRepresentation
bin101111111110011110…
…1011011111000100000
3100211221012202102010021
41133330331123320200
53142000210224412
6115155220043224
710305064226452
oct1377475337040
9324835672107
10103028211232
113a76a815011
1217b73b33514
13993bcc09cb
144db52cc2d2
152a30002607
hex17fcf5be20

103028211232 has 48 divisors (see below), whose sum is σ = 206355002112. Its totient is φ = 50624259840.

The previous prime is 103028211203. The next prime is 103028211233. The reversal of 103028211232 is 232112820301.

103028211232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030282112322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103028211197 and 103028211206.

It is not an unprimeable number, because it can be changed into a prime (103028211233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845553 + ... + 959695.

It is an arithmetic number, because the mean of its divisors is an integer number (4299062544).

Almost surely, 2103028211232 is an apocalyptic number.

It is an amenable number.

103028211232 is an abundant number, since it is smaller than the sum of its proper divisors (103326790880).

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

103028211232 is a wasteful number, since it uses less digits than its factorization.

103028211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114641 (or 114633 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 103028211232 in words is "one hundred three billion, twenty-eight million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 67 134 268 421 536 842 1072 1684 2144 3368 6736 13472 28207 56414 112828 114143 225656 228286 451312 456572 902624 913144 1826288 3652576 7647581 15295162 30590324 48054203 61180648 96108406 122361296 192216812 244722592 384433624 768867248 1537734496 3219631601 6439263202 12878526404 25757052808 51514105616 103028211232