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1013217132 = 223421120051
BaseRepresentation
bin111100011001000…
…111011101101100
32121121112202121110
4330121013131230
54033340422012
6244312432020
734052126544
oct7431073554
92547482543
101013217132
1147aa31034
122433a8610
13131bb7185
14987cc324
155de4273c
hex3c64776c

1013217132 has 24 divisors (see below), whose sum is σ = 2364852672. Its totient is φ = 337642000.

The previous prime is 1013217131. The next prime is 1013217157. The reversal of 1013217132 is 2317123101.

It is a happy number.

It is a super-3 number, since 3×10132171323 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1013217099 and 1013217108.

It is not an unprimeable number, because it can be changed into a prime (1013217131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40507 + ... + 60557.

It is an arithmetic number, because the mean of its divisors is an integer number (98535528).

Almost surely, 21013217132 is an apocalyptic number.

1013217132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013217132 is an abundant number, since it is smaller than the sum of its proper divisors (1351635540).

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

1013217132 is a wasteful number, since it uses less digits than its factorization.

1013217132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24269 (or 24267 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1013217132 is about 31831.0718009934. The cubic root of 1013217132 is about 1004.3864416632.

The spelling of 1013217132 in words is "one billion, thirteen million, two hundred seventeen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 4211 8422 12633 16844 20051 25266 40102 50532 60153 80204 120306 240612 84434761 168869522 253304283 337739044 506608566 1013217132