Search a number
-
+
3000132131200 = 27522579363529
BaseRepresentation
bin101011101010000101110…
…011110101100110000000
3101121210212100220020101021
4223222011303311212000
5343123232311144300
610214124111315224
7426516033232201
oct53520563654600
911553770806337
103000132131200
11a57392413916
1240554221bb14
13189bb0013749
14a52c868d5a8
1553091143d1a
hex2ba85cf5980

3000132131200 has 96 divisors (see below), whose sum is σ = 7414157997000. Its totient is φ = 1199584235520.

The previous prime is 3000132131149. The next prime is 3000132131263. The reversal of 3000132131200 is 21312310003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8071036 + ... + 8434564.

Almost surely, 23000132131200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000132131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707078998500).

3000132131200 is an abundant number, since it is smaller than the sum of its proper divisors (4414025865800).

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

3000132131200 is a wasteful number, since it uses less digits than its factorization.

3000132131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366132 (or 366115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3000132131200 its reverse (21312310003), we get a palindrome (3021444441203).

The spelling of 3000132131200 in words is "three trillion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 2579 3200 5158 10316 12895 20632 25790 41264 51580 64475 82528 103160 128950 165056 206320 257900 330112 363529 412640 515800 727058 825280 1031600 1454116 1650560 1817645 2063200 2908232 3635290 4126400 5816464 7270580 8252800 9088225 11632928 14541160 18176450 23265856 29082320 36352900 46531712 58164640 72705800 116329280 145411600 232658560 290823200 581646400 937541291 1163292800 1875082582 3750165164 4687706455 7500330328 9375412910 15000660656 18750825820 23438532275 30001321312 37501651640 46877064550 60002642624 75003303280 93754129100 120005285248 150006606560 187508258200 300013213120 375016516400 600026426240 750033032800 1500066065600 3000132131200