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1201214300 = 22521113167503
BaseRepresentation
bin100011110011001…
…0001001101011100
310002201022000020112
41013212101031130
54430002324200
6315110105152
741524103336
oct10746211534
93081260215
101201214300
115670660a0
1229634b1b8
13161b2b0c0
14b5768456
15706ca535
hex4799135c

1201214300 has 144 divisors (see below), whose sum is σ = 3086802432. Its totient is φ = 399993600.

The previous prime is 1201214291. The next prime is 1201214303. The reversal of 1201214300 is 34121021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201214303) 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, 2387849 + ... + 2388351.

It is an arithmetic number, because the mean of its divisors is an integer number (21436128).

Almost surely, 21201214300 is an apocalyptic number.

1201214300 is a gapful number since it is divisible by the number (10) 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 1201214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543401216).

1201214300 is an abundant number, since it is smaller than the sum of its proper divisors (1885588132).

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

1201214300 is a wasteful number, since it uses less digits than its factorization.

1201214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1201214300 is about 34658.5386304732. The cubic root of 1201214300 is about 1063.0168889856.

Adding to 1201214300 its reverse (34121021), we get a palindrome (1235335321).

It can be divided in two parts, 120121 and 4300, that added together give a palindrome (124421).

The spelling of 1201214300 in words is "one billion, two hundred one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 167 220 260 275 286 325 334 503 550 572 650 668 715 835 1006 1100 1300 1430 1670 1837 2012 2171 2515 2860 3340 3575 3674 4175 4342 5030 5533 6539 7150 7348 8350 8684 9185 10060 10855 11066 12575 13078 14300 16700 18370 21710 22132 23881 25150 26156 27665 32695 36740 43420 45925 47762 50300 54275 55330 65390 71929 84001 91850 95524 108550 110660 119405 130780 138325 143858 163475 168002 183700 217100 238810 276650 287716 326950 336004 359645 420005 477620 553300 597025 653900 719290 840010 924011 1092013 1194050 1438580 1680020 1798225 1848022 2100025 2184026 2388100 3596450 3696044 4200050 4368052 4620055 5460065 7192900 8400100 9240110 10920130 12012143 18480220 21840260 23100275 24024286 27300325 46200550 48048572 54600650 60060715 92401100 109201300 120121430 240242860 300303575 600607150 1201214300