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1053100152 = 2332138531319
BaseRepresentation
bin111110110001010…
…000100001111000
32201101121000211100
4332301100201320
54124043201102
6252255331400
735045126556
oct7661204170
92641530740
101053100152
114a04a1805
12254820b60
1313a23c6b0
149dc10bd6
15626bea1c
hex3ec50878

1053100152 has 96 divisors (see below), whose sum is σ = 3077474400. Its totient is φ = 323405568.

The previous prime is 1053100151. The next prime is 1053100159. The reversal of 1053100152 is 2510013501.

It is a super-2 number, since 2×10531001522 = 2218039860284846208, which contains 22 as substring.

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 (1053100151) 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, 797749 + ... + 799067.

It is an arithmetic number, because the mean of its divisors is an integer number (32057025).

Almost surely, 21053100152 is an apocalyptic number.

1053100152 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 1053100152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538737200).

1053100152 is an abundant number, since it is smaller than the sum of its proper divisors (2024374248).

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

1053100152 is a wasteful number, since it uses less digits than its factorization.

1053100152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1053100152 is about 32451.5046184303. The cubic root of 1053100152 is about 1017.3956860706.

Adding to 1053100152 its reverse (2510013501), we get a palindrome (3563113653).

The spelling of 1053100152 in words is "one billion, fifty-three million, one hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 853 936 1319 1706 2559 2638 3412 3957 5118 5276 6824 7677 7914 10236 10552 11089 11871 15354 15828 17147 20472 22178 23742 30708 31656 33267 34294 44356 47484 51441 61416 66534 68588 88712 94968 99801 102882 133068 137176 154323 199602 205764 266136 308646 399204 411528 617292 798408 1125107 1234584 2250214 3375321 4500428 6750642 9000856 10125963 13501284 14626391 20251926 27002568 29252782 40503852 43879173 58505564 81007704 87758346 117011128 131637519 175516692 263275038 351033384 526550076 1053100152