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125257043000 = 2353836432347
BaseRepresentation
bin111010010100111100…
…1101100110000111000
3102222022101020001202202
41310221321230300320
54023011300334000
6133313045045332
712022662204245
oct1645171546070
9388271201682
10125257043000
1149137376361
12203383b6848
13ba723832bb
1460c35d85cc
1533d1782dd5
hex1d29e6cc38

125257043000 has 128 divisors (see below), whose sum is σ = 297220734720. Its totient is φ = 49401129600.

The previous prime is 125257042997. The next prime is 125257043003. The reversal of 125257043000 is 340752521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125257042997) and next prime (125257043003).

It is a super-2 number, since 2×1252570430002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125257043003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53367827 + ... + 53370173.

It is an arithmetic number, because the mean of its divisors is an integer number (2322036990).

Almost surely, 2125257043000 is an apocalyptic number.

125257043000 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 125257043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148610367360).

125257043000 is an abundant number, since it is smaller than the sum of its proper divisors (171963691720).

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

125257043000 is a wasteful number, since it uses less digits than its factorization.

125257043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

Adding to 125257043000 its reverse (340752521), we get a palindrome (125597795521).

The spelling of 125257043000 in words is "one hundred twenty-five billion, two hundred fifty-seven million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 643 664 830 1000 1286 1660 2075 2347 2572 3215 3320 4150 4694 5144 6430 8300 9388 10375 11735 12860 16075 16600 18776 20750 23470 25720 32150 41500 46940 53369 58675 64300 80375 83000 93880 106738 117350 128600 160750 194801 213476 234700 266845 293375 321500 389602 426952 469400 533690 586750 643000 779204 974005 1067380 1173500 1334225 1509121 1558408 1948010 2134760 2347000 2668450 3018242 3896020 4870025 5336900 6036484 6671125 7545605 7792040 9740050 10673800 12072968 13342250 15091210 19480100 24350125 26684500 30182420 37728025 38960200 48700250 53369000 60364840 75456050 97400500 125257043 150912100 188640125 194801000 250514086 301824200 377280250 501028172 626285215 754560500 1002056344 1252570430 1509121000 2505140860 3131426075 5010281720 6262852150 12525704300 15657130375 25051408600 31314260750 62628521500 125257043000