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103213332 = 22331516329
BaseRepresentation
bin1100010011011…
…10100100010100
321012012210002000
412021232210110
5202410311312
614124115300
72362204335
oct611564424
9235183060
10103213332
1153296782
122a695b30
13184ca2a1
14d9ca28c
1590dbadc
hex626e914

103213332 has 48 divisors (see below), whose sum is σ = 269404800. Its totient is φ = 34171200.

The previous prime is 103213321. The next prime is 103213333. The reversal of 103213332 is 233312301.

103213332 is a `hidden beast` number, since 10 + 321 + 3 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213333) 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, 13144 + ... + 19472.

It is an arithmetic number, because the mean of its divisors is an integer number (5612600).

Almost surely, 2103213332 is an apocalyptic number.

103213332 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 103213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134702400).

103213332 is an abundant number, since it is smaller than the sum of its proper divisors (166191468).

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

103213332 is a wasteful number, since it uses less digits than its factorization.

103213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 103213332 is about 10159.3962419034. The cubic root of 103213332 is about 469.0782174894.

Adding to 103213332 its reverse (233312301), we get a palindrome (336525633).

The spelling of 103213332 in words is "one hundred three million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 6329 8154 12658 16308 18987 25316 37974 56961 75948 113922 170883 227844 341766 683532 955679 1911358 2867037 3822716 5734074 8601111 11468148 17202222 25803333 34404444 51606666 103213332