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125433200000 = 2755313583
BaseRepresentation
bin111010011010001100…
…1101011110110000000
3102222202122200202202002
41310310121223312000
54023341344400000
6133342340443132
712030231415433
oct1646431536600
9388678622662
10125433200000
1149217853759
12203873a94a8
13ba9ca0cc04
1460dcb7181a
1533e1e7c8d5
hex1d3466bd80

125433200000 has 96 divisors (see below), whose sum is σ = 312339071520. Its totient is φ = 50173120000.

The previous prime is 125433199963. The next prime is 125433200017. The reversal of 125433200000 is 2334521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 243209 + ... + 556791.

It is an arithmetic number, because the mean of its divisors is an integer number (3253531995).

Almost surely, 2125433200000 is an apocalyptic number.

125433200000 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 125433200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156169535760).

125433200000 is an abundant number, since it is smaller than the sum of its proper divisors (186905871520).

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

125433200000 is an frugal number, since it uses more digits than its factorization.

125433200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313622 (or 313590 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 125433200000 its reverse (2334521), we get a palindrome (125435534521).

The spelling of 125433200000 in words is "one hundred twenty-five billion, four hundred thirty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 313583 400000 627166 1254332 1567915 2508664 3135830 5017328 6271660 7839575 10034656 12543320 15679150 20069312 25086640 31358300 39197875 40138624 50173280 62716600 78395750 100346560 125433200 156791500 195989375 200693120 250866400 313583000 391978750 501732800 627166000 783957500 979946875 1003465600 1254332000 1567915000 1959893750 2508664000 3135830000 3919787500 5017328000 6271660000 7839575000 12543320000 15679150000 25086640000 31358300000 62716600000 125433200000