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125201232 = 243213471423
BaseRepresentation
bin1110111011001…
…10101101010000
322201120212210200
413131212231100
5224022414412
620231255200
73050123112
oct735465520
9281525720
10125201232
11647445a2
1235b1a500
131cc28490
14128b13b2
15aed19dc
hex7766b50

125201232 has 120 divisors (see below), whose sum is σ = 385641984. Its totient is φ = 37677312.

The previous prime is 125201231. The next prime is 125201233. The reversal of 125201232 is 232102521.

It is an interprime number because it is at equal distance from previous prime (125201231) and next prime (125201233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125201231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87273 + ... + 88695.

Almost surely, 2125201232 is an apocalyptic number.

125201232 is a gapful number since it is divisible by the number (12) 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 125201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192820992).

125201232 is an abundant number, since it is smaller than the sum of its proper divisors (260440752).

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

125201232 is a wasteful number, since it uses less digits than its factorization.

125201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125201232 is about 11189.3356371145. The cubic root of 125201232 is about 500.2681654822.

Adding to 125201232 its reverse (232102521), we get a palindrome (357303753).

The spelling of 125201232 in words is "one hundred twenty-five million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1423 1692 1833 1872 2256 2444 2846 3384 3666 4269 4888 5499 5692 6768 7332 8538 9776 10998 11384 12807 14664 17076 18499 21996 22768 25614 29328 34152 36998 43992 51228 55497 66881 68304 73996 87984 102456 110994 133762 147992 166491 200643 204912 221988 267524 295984 332982 401286 443976 535048 601929 665964 802572 869453 887952 1070096 1203858 1331928 1605144 1738906 2407716 2608359 2663856 3210288 3477812 4815432 5216718 6955624 7825077 9630864 10433436 13911248 15650154 20866872 31300308 41733744 62600616 125201232