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132412112250 = 235311157102229
BaseRepresentation
bin111101101010001100…
…0000111110101111010
3110122210000202020120120
41323110120013311322
54132140000043000
6140455043034110
712365203245405
oct1732430076572
9418700666516
10132412112250
1151179204830
12217b466b936
13c6428415a2
1465a199cd3c
15369e9cd6a0
hex1ed4607d7a

132412112250 has 128 divisors (see below), whose sum is σ = 362846165760. Its totient is φ = 31895136000.

The previous prime is 132412112249. The next prime is 132412112267. The reversal of 132412112250 is 52211214231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132412112250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1244136 + ... + 1346364.

It is an arithmetic number, because the mean of its divisors is an integer number (2834735670).

Almost surely, 2132412112250 is an apocalyptic number.

132412112250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132412112250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181423082880).

132412112250 is an abundant number, since it is smaller than the sum of its proper divisors (230434053510).

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

132412112250 is a wasteful number, since it uses less digits than its factorization.

132412112250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102417 (or 102407 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 132412112250 its reverse (52211214231), we get a palindrome (184623326481).

The spelling of 132412112250 in words is "one hundred thirty-two billion, four hundred twelve million, one hundred twelve thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 157 165 250 275 314 330 375 471 550 750 785 825 942 1375 1570 1650 1727 2355 2750 3454 3925 4125 4710 5181 7850 8250 8635 10362 11775 17270 19625 23550 25905 39250 43175 51810 58875 86350 102229 117750 129525 204458 215875 259050 306687 431750 511145 613374 647625 1022290 1124519 1295250 1533435 2249038 2555725 3066870 3373557 5111450 5622595 6747114 7667175 11245190 12778625 15334350 16049953 16867785 25557250 28112975 32099906 33735570 38335875 48149859 56225950 76671750 80249765 84338925 96299718 140564875 160499530 168677850 176549483 240749295 281129750 353098966 401248825 421694625 481498590 529648449 802497650 843389250 882747415 1059296898 1203746475 1765494830 2006244125 2407492950 2648242245 4012488250 4413737075 5296484490 6018732375 8827474150 12037464750 13241211225 22068685375 26482422450 44137370750 66206056125 132412112250