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101121252 = 22341474373
BaseRepresentation
bin1100000011011…
…11110011100100
321001021111021120
412001233303210
5201341340002
614011213540
72335342101
oct601576344
9231244246
10101121252
1152097991
1229a472b0
1317c46c7b
14d603aa8
158d26cbc
hex606fce4

101121252 has 48 divisors (see below), whose sum is σ = 246903552. Its totient is φ = 32177920.

The previous prime is 101121247. The next prime is 101121257. The reversal of 101121252 is 252121101.

It is an interprime number because it is at equal distance from previous prime (101121247) and next prime (101121257).

It is not an unprimeable number, because it can be changed into a prime (101121257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20938 + ... + 25310.

It is an arithmetic number, because the mean of its divisors is an integer number (5143824).

Almost surely, 2101121252 is an apocalyptic number.

101121252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121252 is an abundant number, since it is smaller than the sum of its proper divisors (145782300).

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

101121252 is a wasteful number, since it uses less digits than its factorization.

101121252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 101121252 is about 10055.9063241460. The cubic root of 101121252 is about 465.8872365566.

Adding to 101121252 its reverse (252121101), we get a palindrome (353242353).

The spelling of 101121252 in words is "one hundred one million, one hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 41 47 82 94 123 141 164 188 246 282 492 564 1927 3854 4373 5781 7708 8746 11562 13119 17492 23124 26238 52476 179293 205531 358586 411062 537879 616593 717172 822124 1075758 1233186 2151516 2466372 8426771 16853542 25280313 33707084 50560626 101121252