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125200210520 = 23571140649419
BaseRepresentation
bin111010010011010000…
…0111001101001011000
3102222011102021200021002
41310212200321221120
54022402223214040
6133303255004132
712021402142010
oct1644640715130
9388142250232
10125200210520
1149108289270
1220321369648
13ba63675008
1460b9c42c40
1533cb7a8a15
hex1d26839a58

125200210520 has 64 divisors (see below), whose sum is σ = 351210988800. Its totient is φ = 39023441280.

The previous prime is 125200210463. The next prime is 125200210567. The reversal of 125200210520 is 25012002521.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 125200210492 and 125200210501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20321630 + ... + 20327789.

It is an arithmetic number, because the mean of its divisors is an integer number (5487671700).

Almost surely, 2125200210520 is an apocalyptic number.

125200210520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125200210520 is an abundant number, since it is smaller than the sum of its proper divisors (226010778280).

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

125200210520 is a wasteful number, since it uses less digits than its factorization.

125200210520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40649448 (or 40649444 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 125200210520 in words is "one hundred twenty-five billion, two hundred million, two hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 40649419 81298838 162597676 203247095 284545933 325195352 406494190 447143609 569091866 812988380 894287218 1138183732 1422729665 1625976760 1788574436 2235718045 2276367464 2845459330 3130005263 3577148872 4471436090 5690918660 6260010526 8942872180 11381837320 12520021052 15650026315 17885744360 25040042104 31300052630 62600105260 125200210520