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1010111412 = 2232913721187
BaseRepresentation
bin111100001101010…
…001001110110100
32121101200222100210
4330031101032310
54032042031122
6244122105420
734013543142
oct7415211664
92541628323
101010111412
114791aa722
1224234b270
1313136a67b
1498220592
155da2c40c
hex3c3513b4

1010111412 has 48 divisors (see below), whose sum is σ = 2456112960. Its totient is φ = 322705152.

The previous prime is 1010111387. The next prime is 1010111419. The reversal of 1010111412 is 2141110101.

1010111412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111419) 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, 37083 + ... + 58269.

It is an arithmetic number, because the mean of its divisors is an integer number (51169020).

Almost surely, 21010111412 is an apocalyptic number.

1010111412 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 1010111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228056480).

1010111412 is an abundant number, since it is smaller than the sum of its proper divisors (1446001548).

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

1010111412 is a wasteful number, since it uses less digits than its factorization.

1010111412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21360 (or 21358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1010111412 is about 31782.2499518206. The cubic root of 1010111412 is about 1003.3591739818.

Adding to 1010111412 its reverse (2141110101), we get a palindrome (3151221513).

The spelling of 1010111412 in words is "one billion, ten million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 174 274 348 411 548 822 1644 3973 7946 11919 15892 21187 23838 42374 47676 63561 84748 127122 254244 614423 1228846 1843269 2457692 2902619 3686538 5805238 7373076 8707857 11610476 17415714 34831428 84175951 168351902 252527853 336703804 505055706 1010111412