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1014123321 = 35171271933
BaseRepresentation
bin111100011100100…
…100101100111001
32121200020210200000
4330130210230321
54034103421241
6244344103213
734062622521
oct7434445471
92550223600
101014123321
1148049a952
12243764b09
13132143793
1498986681
155e070eb6
hex3c724b39

1014123321 has 48 divisors (see below), whose sum is σ = 1621960704. Its totient is φ = 630975744.

The previous prime is 1014123307. The next prime is 1014123349. The reversal of 1014123321 is 1233214101.

It is not a de Polignac number, because 1014123321 - 210 = 1014122297 is a prime.

It is a super-2 number, since 2×10141233212 = 2056892220392138082, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1014123294 and 1014123303.

It is not an unprimeable number, because it can be changed into a prime (1014123361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523671 + ... + 525603.

It is an arithmetic number, because the mean of its divisors is an integer number (33790848).

Almost surely, 21014123321 is an apocalyptic number.

It is an amenable number.

1014123321 is a deficient number, since it is larger than the sum of its proper divisors (607837383).

1014123321 is a wasteful number, since it uses less digits than its factorization.

1014123321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1014123321 is about 31845.3029660576. The cubic root of 1014123321 is about 1004.6857828116.

Adding to 1014123321 its reverse (1233214101), we get a palindrome (2247337422).

The spelling of 1014123321 in words is "one billion, fourteen million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 127 153 243 381 459 1143 1377 1933 2159 3429 4131 5799 6477 10287 17397 19431 30861 32861 52191 58293 98583 156573 174879 245491 295749 469719 524637 736473 887247 2209419 2661741 4173347 6628257 7985223 12520041 19884771 37560123 59654313 112680369 338041107 1014123321