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1014120312 = 233172838783
BaseRepresentation
bin111100011100100…
…011111101111000
32121200020122112120
4330130203331320
54034103322222
6244344041240
734062610662
oct7434437570
92550218476
101014120312
11480498667
12243763220
131321422ba
1498985532
155e07015c
hex3c723f78

1014120312 has 64 divisors (see below), whose sum is σ = 2694228480. Its totient is φ = 316995072.

The previous prime is 1014120293. The next prime is 1014120319. The reversal of 1014120312 is 2130214101.

It is a junction number, because it is equal to n+sod(n) for n = 1014120291 and 1014120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014120319) 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, 111073 + ... + 119855.

It is an arithmetic number, because the mean of its divisors is an integer number (42097320).

Almost surely, 21014120312 is an apocalyptic number.

1014120312 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 1014120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347114240).

1014120312 is an abundant number, since it is smaller than the sum of its proper divisors (1680108168).

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

1014120312 is a wasteful number, since it uses less digits than its factorization.

1014120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1014120312 is about 31845.2557220067. The cubic root of 1014120312 is about 1004.6847891446.

Adding to 1014120312 its reverse (2130214101), we get a palindrome (3144334413).

The spelling of 1014120312 in words is "one billion, fourteen million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 283 408 566 849 1132 1698 2264 3396 4811 6792 8783 9622 14433 17566 19244 26349 28866 35132 38488 52698 57732 70264 105396 115464 149311 210792 298622 447933 597244 895866 1194488 1791732 2485589 3583464 4971178 7456767 9942356 14913534 19884712 29827068 42255013 59654136 84510026 126765039 169020052 253530078 338040104 507060156 1014120312