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20101152 = 253415107
BaseRepresentation
bin100110010101…
…1100000100000
31101211020121010
41030223200200
520121214102
61554500520
7332566641
oct114534040
941736533
1020101152
111038a325
126894740
13421a496
1429536c8
151b70d6c
hex132b820

20101152 has 48 divisors (see below), whose sum is σ = 54063072. Its totient is φ = 6535680.

The previous prime is 20101141. The next prime is 20101187. The reversal of 20101152 is 25110102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1383 + ... + 6489.

It is an arithmetic number, because the mean of its divisors is an integer number (1126314).

Almost surely, 220101152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031536).

20101152 is an abundant number, since it is smaller than the sum of its proper divisors (33961920).

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

20101152 is a wasteful number, since it uses less digits than its factorization.

20101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 20101152 is about 4483.4308291754. The cubic root of 20101152 is about 271.8986069606.

Adding to 20101152 its reverse (25110102), we get a palindrome (45211254).

The spelling of 20101152 in words is "twenty million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 5107 10214 15321 20428 30642 40856 61284 81712 122568 163424 209387 245136 418774 490272 628161 837548 1256322 1675096 2512644 3350192 5025288 6700384 10050576 20101152