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125253200000 = 2755313133
BaseRepresentation
bin111010010100110101…
…1000010100010000000
3102222022002222211011102
41310221223002202000
54023004304400000
6133312430433532
712022614430205
oct1645153024200
9388262884142
10125253200000
1149135191025
12203370628a8
13ba71639036
1460c2cb7cac
1533d12743d5
hex1d29ac2880

125253200000 has 96 divisors (see below), whose sum is σ = 311890858020. Its totient is φ = 50101120000.

The previous prime is 125253199949. The next prime is 125253200021. The reversal of 125253200000 is 2352521.

It can be written as a sum of positive squares in 6 ways, for example, as 3775856704 + 121477343296 = 61448^2 + 348536^2 .

It is a super-2 number, since 2×1252532000002 (a number of 23 digits) contains 22 as substring.

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

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, 243434 + ... + 556566.

Almost surely, 2125253200000 is an apocalyptic number.

125253200000 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 125253200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155945429010).

125253200000 is an abundant number, since it is smaller than the sum of its proper divisors (186637658020).

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

125253200000 is an frugal number, since it uses more digits than its factorization.

125253200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313172 (or 313140 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 125253200000 its reverse (2352521), we get a palindrome (125255552521).

The spelling of 125253200000 in words is "one hundred twenty-five billion, two hundred fifty-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 313133 400000 626266 1252532 1565665 2505064 3131330 5010128 6262660 7828325 10020256 12525320 15656650 20040512 25050640 31313300 39141625 40081024 50101280 62626600 78283250 100202560 125253200 156566500 195708125 200405120 250506400 313133000 391416250 501012800 626266000 782832500 978540625 1002025600 1252532000 1565665000 1957081250 2505064000 3131330000 3914162500 5010128000 6262660000 7828325000 12525320000 15656650000 25050640000 31313300000 62626600000 125253200000